Viscosity is a measure of a fluid's dynamic resistance to a change in shape or to movement of its neighboring portions relative to one another. For liquids, it corresponds to the informal concept of thickness ; for example, syrup has a higher viscosity than water . Viscosity is defined scientifically as a force multiplied by a time divided by an area. Thus its SI units are newton-seconds per square meter, or pascal-seconds.
107-403: Molasses ( / m ə ˈ l æ s ɪ z , m oʊ -/ ) is a viscous byproduct, principally obtained from the refining of sugarcane or sugar beet juice into sugar . Molasses varies in the amount of sugar, the method of extraction and age of the plant. Sugarcane molasses is usually used to sweeten and flavour foods. Molasses is a major constituent of fine commercial brown sugar . Molasses
214-640: A UNESCO World Heritage Site . The destination is certified by EarthCheck . The main harbour in Funchal has long been the leading Portuguese port in cruise ship dockings, an important stopover for Atlantic passenger cruises between Europe, the Caribbean and North Africa . In addition, the International Business Centre of Madeira , also known as the Madeira Free Trade Zone, was established in
321-420: A fertilizer . Exaggerated health benefits claimed for blackstrap molasses were the theme of the 1951 novelty song Black Strap Molasses , recorded by Groucho Marx , Jimmy Durante , Jane Wyman and Danny Kaye . Unlike highly refined sugars, molasses contains significant amounts of vitamin B 6 and minerals , including calcium , magnesium , iron and manganese ; one tablespoon provides up to 20% of
428-435: A magnetic field , possibly to the point of behaving like a solid. The viscous forces that arise during fluid flow are distinct from the elastic forces that occur in a solid in response to shear, compression, or extension stresses. While in the latter the stress is proportional to the amount of shear deformation, in a fluid it is proportional to the rate of deformation over time. For this reason, James Clerk Maxwell used
535-556: A buckling of the lithosphere . The ten tallest peaks in Madeira exemplify the island's diverse topography. Pico Ruivo is the highest at 1,862 metres. Madeira's mountaintops offer panoramic vistas of rugged terrain and the Atlantic Ocean , attracting hikers and nature enthusiasts seeking stunning views and challenging trails. Madeira island is at the top of a massive shield volcano that rises about 6 km (20,000 ft) from
642-436: A constant viscosity ( non-Newtonian fluids ) cannot be described by a single number. Non-Newtonian fluids exhibit a variety of different correlations between shear stress and shear rate. One of the most common instruments for measuring kinematic viscosity is the glass capillary viscometer. In coating industries, viscosity may be measured with a cup in which the efflux time is measured. There are several sorts of cup—such as
749-502: A fluid, just as thermal conductivity characterizes heat transport, and (mass) diffusivity characterizes mass transport. This perspective is implicit in Newton's law of viscosity, τ = μ ( ∂ u / ∂ y ) {\displaystyle \tau =\mu (\partial u/\partial y)} , because the shear stress τ {\displaystyle \tau } has units equivalent to
856-415: A momentum flux , i.e., momentum per unit time per unit area. Thus, τ {\displaystyle \tau } can be interpreted as specifying the flow of momentum in the y {\displaystyle y} direction from one fluid layer to the next. Per Newton's law of viscosity, this momentum flow occurs across a velocity gradient, and the magnitude of the corresponding momentum flux
963-506: A network of walking paths. Paths can provide easy and relaxing walks through the countryside, while others are narrow, crumbling ledges where a slip could result in injury or death. Some improvements have been made to these pathways following the 2010 Madeira floods and mudslides . Such improvements involved the continuous maintenance of streams, paving trails, and establishing safety fences on dangerous stretches. Due to its distinct geography, economy, social and cultural situation, as well as
1070-474: A north-northeast to south-southwest axis that extends for 1,000 kilometres (540 nmi). This structure consists of long geomorphological relief that extends from the abyssal plain to 3,500 m (11,500 ft); its highest submersed point reaches a depth of about 150 m (490 ft) (around latitude 36°N). The origins of the Tore-Madeira Ridge are not clearly established, but may have resulted from
1177-606: A number of houses and Santa Clara church were hit. The last Austrian Emperor , Charles I , was exiled to Madeira after the war. Determined to prevent an attempt to restore Charles to the throne, the Council of Allied Powers agreed he could go into exile on Madeira because it was isolated in the Atlantic and easily guarded. He died there on 1 April 1922 and his coffin lies in a chapel of the Church of Our Lady of Monte . The Madeira archipelago
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#17328730938121284-843: A relatively stable natural shelf life. Poor flavour and the trace toxicity of low doses of sulfur dioxide are also factors that have led to its removal. Molasses is composed of 22% water, 75% carbohydrates and very small amounts (0.1%) of fat . It contains no protein . In a reference amount of 100 grams, molasses is a rich source (20% or more of the Daily Value , DV) of vitamin B6 and several dietary minerals , including manganese , magnesium , iron , potassium and calcium . The sugars in molasses are on average sucrose (39% of total carbohydrates), glucose (16%) and fructose (17%) (data from USDA nutrition table). The uses of molasses in food production may include: Viscosity Viscosity quantifies
1391-491: A second boiling and sugar extraction and has a slightly bitter taste. Boiling the sugar syrup a third time yields dark, viscous blackstrap molasses ( 'C' Molasses ), known for its robust flavour. During this process, the majority of sucrose from the original juice is crystallized and removed. The bitterness of blackstrap molasses is much greater than in the regular form of molasses. It is sometimes used in baking or to produce ethanol , as an ingredient in cattle feed , or as
1498-569: A series of seven sketches of the island. In 1856, British troops recovering from cholera , and widows and orphans of soldiers fallen in the Crimean War , were stationed in Funchal, Madeira. During the Great War on 3 December 1916, a German U-boat , SM U-38 , captained by Max Valentiner , entered Funchal harbour on Madeira. U-38 torpedoed and sank three ships, bringing the war to Portugal by extension. The ships sunk were: After attacking
1605-416: A specific fluid state. To standardize comparisons among experiments and theoretical models, viscosity data is sometimes extrapolated to ideal limiting cases, such as the zero shear limit, or (for gases) the zero density limit. Transport theory provides an alternative interpretation of viscosity in terms of momentum transport: viscosity is the material property which characterizes momentum transport within
1712-460: A way that it was not enough for domestic needs, so that sugar was imported to the island from other Portuguese colonies. Sugar mills were gradually abandoned, with few remaining, which gave way to other markets in Madeira. In the 17th century, as Portuguese sugar production was shifted to Brazil, São Tomé and Príncipe and elsewhere, Madeira's most important commodity product became its wine. Sugar plantations were replaced by vineyards, originating in
1819-457: A year. Madeira hosts lush laurel forests , while Porto Santo , a much flatter island, has a semiarid climate ( BSh ). In most winters snowfall occurs in the mountains. In the south, little is left of the indigenous subtropical rainforest that once covered the island (the original settlers set fires to clear the land for farming) and named it ( madeira means "wood" in Portuguese). However, in
1926-543: Is derived from the Dutch word for syrup, stroop . Sugar cane molasses is an ingredient used in baking and cooking. It was popular in the Americas before the 20th century, when it was plentiful and commonly used as a sweetener in foods and an ingredient in brewing beer in the colonies. George Washington had a notebook that contains a molasses beer recipe. To produce molasses, sugar cane is harvested and stripped of leaves. Its juice
2033-649: Is 1 cP divided by 1000 kg/m^3, close to the density of water. The kinematic viscosity of water at 20 °C is about 1 cSt. The most frequently used systems of US customary, or Imperial , units are the British Gravitational (BG) and English Engineering (EE). In the BG system, dynamic viscosity has units of pound -seconds per square foot (lb·s/ft ), and in the EE system it has units of pound-force -seconds per square foot (lbf·s/ft ). The pound and pound-force are equivalent;
2140-457: Is a linear combination of the shear and bulk viscosities that describes the reaction of a solid elastic material to elongation. It is widely used for characterizing polymers. In geology , earth materials that exhibit viscous deformation at least three orders of magnitude greater than their elastic deformation are sometimes called rheids . Viscosity is measured with various types of viscometers and rheometers . Close temperature control of
2247-462: Is a calculation derived from tests performed on drilling fluid used in oil or gas well development. These calculations and tests help engineers develop and maintain the properties of the drilling fluid to the specifications required. Nanoviscosity (viscosity sensed by nanoprobes) can be measured by fluorescence correlation spectroscopy . The SI unit of dynamic viscosity is the newton -second per square meter (N·s/m ), also frequently expressed in
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#17328730938122354-550: Is a viscosity tensor that maps the velocity gradient tensor ∂ v k / ∂ r ℓ {\displaystyle \partial v_{k}/\partial r_{\ell }} onto the viscous stress tensor τ i j {\displaystyle \tau _{ij}} . Since the indices in this expression can vary from 1 to 3, there are 81 "viscosity coefficients" μ i j k l {\displaystyle \mu _{ijkl}} in total. However, assuming that
2461-429: Is approximately 22 km (14 mi) at its widest point (from Ponta da Cruz to Ponta de São Jorge), with a coastline of 150 km (90 mi). It has a mountain ridge that extends along the centre of the island, reaching 1,862 metres (6,109 feet) at its highest point ( Pico Ruivo ), staying below 200 metres along its eastern extent. The primitive volcanic foci responsible for the central mountainous area, consisted of
2568-532: Is called the rate of shear deformation or shear velocity , and is the derivative of the fluid speed in the direction parallel to the normal vector of the plates (see illustrations to the right). If the velocity does not vary linearly with y {\displaystyle y} , then the appropriate generalization is: where τ = F / A {\displaystyle \tau =F/A} , and ∂ u / ∂ y {\displaystyle \partial u/\partial y}
2675-453: Is derived from the Latin viscum (" mistletoe "). Viscum also referred to a viscous glue derived from mistletoe berries. In materials science and engineering , there is often interest in understanding the forces or stresses involved in the deformation of a material. For instance, if the material were a simple spring, the answer would be given by Hooke's law , which says that
2782-448: Is determined by the viscosity. The analogy with heat and mass transfer can be made explicit. Just as heat flows from high temperature to low temperature and mass flows from high density to low density, momentum flows from high velocity to low velocity. These behaviors are all described by compact expressions, called constitutive relations , whose one-dimensional forms are given here: where ρ {\displaystyle \rho }
2889-571: Is entitled to derogation from some EU policies. According to the Treaty on the Functioning of the European Union , both primary and secondary European Union law applies to Madeira, with possible derogations to take account of its "structural social and economic situation (...) which is compounded by their remoteness, insularity, small size, difficult topography and climate, economic dependence on
2996-534: Is equal to the SI millipascal second (mPa·s). The SI unit of kinematic viscosity is square meter per second (m /s), whereas the CGS unit for kinematic viscosity is the stokes (St, or cm ·s = 0.0001 m ·s ), named after Sir George Gabriel Stokes . In U.S. usage, stoke is sometimes used as the singular form. The submultiple centistokes (cSt) is often used instead, 1 cSt = 1 mm ·s = 10 m ·s . 1 cSt
3103-576: Is in terms of the standard (scalar) viscosity μ {\displaystyle \mu } and the bulk viscosity κ {\displaystyle \kappa } such that α = κ − 2 3 μ {\displaystyle \alpha =\kappa -{\tfrac {2}{3}}\mu } and β = γ = μ {\displaystyle \beta =\gamma =\mu } . In vector notation this appears as: where δ {\displaystyle \mathbf {\delta } }
3210-480: Is known from the Selvagens , suggesting this seabird visited at least sporadically. Madeira is home to six species of brown mice, believed to be descendants of common European brown mice brought to the island by Vikings in the 9th century (or conceivably by 15th century Portuguese settlers), but diversified to the point where they cannot interbreed with their ancestral species or with one another. They have essentially
3317-406: Is limited in biotin (vitamin H or B 7 ) for cell growth and hence may be supplemented with a biotin source. The non-sugar content includes many salts, including calcium , potassium , oxalate and chloride . It contains betaine and the trisaccharide raffinose . These result from the concentration of the original plant material or other chemicals in processing and are unpalatable to humans. It
Molasses - Misplaced Pages Continue
3424-666: Is located 520 km (280 nmi) from the African coast, 805 km (430 nmi) from the closest point in the European coast (the Portuguese town of Sagres , in Algarve ) and 1,000 km (540 nmi) from the capital of Portugal, Lisbon (approximately a one-and-a-half-hour flight). Madeira inhabits the extreme south of the Tore-Madeira Ridge , a bathymetric structure oriented along
3531-658: Is not a fundamental law of nature, but rather a constitutive equation (like Hooke's law , Fick's law , and Ohm's law ) which serves to define the viscosity μ {\displaystyle \mu } . Its form is motivated by experiments which show that for a wide range of fluids, μ {\displaystyle \mu } is independent of strain rate. Such fluids are called Newtonian . Gases , water , and many common liquids can be considered Newtonian in ordinary conditions and contexts. However, there are many non-Newtonian fluids that significantly deviate from this behavior. For example: Trouton 's ratio
3638-622: Is rich in vitamins and minerals, including vitamin B6 , iron , calcium , magnesium , and potassium . There are different types of molasses, including first molasses (highest sugar content), second molasses (slightly bitter), and blackstrap molasses (the darkest and most robust in flavor). Molasses was historically popular in the Americas before the 20th century as a sweetener. It is still commonly used in traditional cuisine, such as in Madeira Island 's traditional dishes. In addition to culinary uses, molasses has industrial applications, such as in
3745-545: Is still open to this day. The British first amicably occupied the island in 1801 whereafter Colonel William Henry Clinton became governor. A detachment of the 85th Regiment of Foot under Lieutenant-colonel James Willoughby Gordon garrisoned the island. After the Peace of Amiens , British troops withdrew in 1802, only to reoccupy Madeira in 1807 until the end of the Peninsular War in 1814. In 1846 James Julius Wood wrote
3852-581: Is the dynamic viscosity of the fluid, often simply referred to as the viscosity . It is denoted by the Greek letter mu ( μ ). The dynamic viscosity has the dimensions ( m a s s / l e n g t h ) / t i m e {\displaystyle \mathrm {(mass/length)/time} } , therefore resulting in the SI units and the derived units : The aforementioned ratio u / y {\displaystyle u/y}
3959-408: Is the density, J {\displaystyle \mathbf {J} } and q {\displaystyle \mathbf {q} } are the mass and heat fluxes, and D {\displaystyle D} and k t {\displaystyle k_{t}} are the mass diffusivity and thermal conductivity. The fact that mass, momentum, and energy (heat) transport are among
4066-425: Is the local shear velocity. This expression is referred to as Newton's law of viscosity . In shearing flows with planar symmetry, it is what defines μ {\displaystyle \mu } . It is a special case of the general definition of viscosity (see below), which can be expressed in coordinate-free form. Use of the Greek letter mu ( μ {\displaystyle \mu } ) for
4173-606: Is the ratio of extensional viscosity to shear viscosity . For a Newtonian fluid, the Trouton ratio is 3. Shear-thinning liquids are very commonly, but misleadingly, described as thixotropic. Viscosity may also depend on the fluid's physical state (temperature and pressure) and other, external , factors. For gases and other compressible fluids , it depends on temperature and varies very slowly with pressure. The viscosity of some fluids may depend on other factors. A magnetorheological fluid , for example, becomes thicker when subjected to
4280-554: Is the unit tensor. This equation can be thought of as a generalized form of Newton's law of viscosity. The bulk viscosity (also called volume viscosity) expresses a type of internal friction that resists the shearless compression or expansion of a fluid. Knowledge of κ {\displaystyle \kappa } is frequently not necessary in fluid dynamics problems. For example, an incompressible fluid satisfies ∇ ⋅ v = 0 {\displaystyle \nabla \cdot \mathbf {v} =0} and so
4387-467: Is then extracted, usually by cutting, crushing or mashing. The juice is boiled to produce a concentrate and encourage sugar crystallization . The result of this first boiling is called first syrup ('A' Molasses ) and has the highest sugar content. First syrup is usually referred to in the Southern United States as cane syrup rather than molasses. Second molasses ('B' Molasses ) is produced by
Molasses - Misplaced Pages Continue
4494-483: Is therefore mainly used as an animal feed additive (known as molassed sugar beet feed ) or a fermentation feedstock. Sweet sorghum syrup is colloquially called sorghum molasses in the southern United States . Pomegranate molasses is a traditional ingredient in Middle Eastern cooking. It is made by simmering a mixture of pomegranate juice, sugar and lemon juice and reducing the mixture for about an hour until
4601-642: Is wet in the northwest, but dry in the southeast. In the 16th century the Portuguese started building levadas ( aqueducts ) to carry water to the agricultural regions in the south. Due to its mountainous landscape, building levadas promised to be a difficult venture, often tasked to criminals and convicts from continental Portugal to build these water canals. Many are cut into the mountainsides, accompanied by 40 km (25 mi) of tunnels, some of which are still accessible. Today levadas supply water and also provide hydro-electric power . Over 2,170 km (1,350 mi) of levadas were built and later provided
4708-662: The Book of Knowledge of All Kingdoms from the early 14th century, the Medici-Laurentian Atlas from 1351, the Soleri Portolani from 1380 and 1385 and Corbitis Atlas from the late 14th century. These texts refer to Madeira as Lecmane , Lolegname, Legnami (the isle of wood), Puerto or Porto Santo, deserte or deserta, and desierta . It is widely accepted that knowledge of these Atlantic islands existed before their better-documented discovery and successful settlement by
4815-583: The Gulf Stream and Canary Current , giving it mild to warm year-round temperatures. According to the Instituto de Meteorologia (IPMA), the average annual temperature at Funchal weather station is 19.6 °C (67.3 °F) for the 1981–2010 period. Relief is a determinant factor on precipitation levels; areas such as the Madeira Natural Park can get as much as 2,800 mm (110 in) of precipitation
4922-819: The Isles of the Blessed ." Archaeological evidence suggests that the islands may have been visited by the Vikings sometime between 900 and 1030. Accounts by Muhammad al-Idrisi state that the Mugharrarin ("the adventurers" – seafarers from Lisbon) came across an island where they found "a huge quantity of sheep, the meat of which was bitter and inedible" before going to the more inhabited Canary Islands , in Spain . This island, possibly Madeira or Hierro , must have been inhabited or previously visited by people for livestock to be present. During
5029-562: The Kingdom of Portugal . In 1418, two captains, João Gonçalves Zarco and Tristão Vaz Teixeira , while exploring the African coast in the service of Prince Henry the Navigator , were driven off course by a storm to an island which they named Porto Santo (English: "holy harbour") in gratitude for divine deliverance from a shipwreck. The following year, Zarco and Vaz organised an expedition with Bartolomeu Perestrello . The trio travelled to
5136-665: The North Atlantic Ocean , in the region of Macaronesia , just under 400 kilometres (250 mi) north of the Canary Islands — Spain —, 520 kilometres (320 mi) west of the Kingdom of Morocco and 805 kilometres (500 mi) southwest of mainland Portugal . Madeira sits on the African Tectonic Plate , although it is culturally, politically and ethnically associated with Europe, with its population predominantly descended from Portuguese settlers. Its population
5243-709: The Portuguese constitution and other laws, Madeira possesses its own political and administrative statute and has its own government . The branches of Government are the Regional Government and the Legislative Assembly , the latter elected by universal suffrage , using the D'Hondt method of proportional representation . The president of the Regional Government is appointed by the Representative of
5350-613: The Trocaz pigeon , the Madeira Chaffinch and the Madeira firecrest . In addition extinct species include the Madeiran scops owl , two rail species, Rallus adolfocaesaris and R. lowei , and two quail species, Coturnix lignorum and C. alabrevis , and the Madeiran wood pigeon , a subspecies of the common wood pigeon and which was last seen in the early 20th century. A Great Auk bone
5457-711: The West Indies and England itself. The Madeira wine became very popular in the markets and it is also said to have been used in a toast during the Declaration of Independence by the Founding Fathers of the United States . In the eighteenth and nineteenth centuries, Madeira stands out for its climate and therapeutic effects. In the nineteenth century, visitors to the island integrated four major groups: patients, travellers, tourists and scientists. Most visitors belonged to
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#17328730938125564-577: The Zahn cup and the Ford viscosity cup —with the usage of each type varying mainly according to the industry. Also used in coatings, a Stormer viscometer employs load-based rotation to determine viscosity. The viscosity is reported in Krebs units (KU), which are unique to Stormer viscometers. Vibrating viscometers can also be used to measure viscosity. Resonant, or vibrational viscometers work by creating shear waves within
5671-531: The conquest of Ceuta and West Africans after further exploration of the African coast. Barbary corsairs from North Africa, who enslaved Europeans from ships and coastal communities throughout the Mediterranean region, captured 1,200 people in Porto Santo in 1617. Until the first half of the sixteenth century, Madeira was one of the major sugar markets of the Atlantic. Apparently, it is in Madeira that, in
5778-425: The density of the fluid ( ρ ). It is usually denoted by the Greek letter nu ( ν ): and has the dimensions ( l e n g t h ) 2 / t i m e {\displaystyle \mathrm {(length)^{2}/time} } , therefore resulting in the SI units and the derived units : In very general terms, the viscous stresses in a fluid are defined as those resulting from
5885-431: The shear viscosity . However, at least one author discourages the use of this terminology, noting that μ {\displaystyle \mu } can appear in non-shearing flows in addition to shearing flows. In fluid dynamics, it is sometimes more appropriate to work in terms of kinematic viscosity (sometimes also called the momentum diffusivity ), defined as the ratio of the dynamic viscosity ( μ ) over
5992-427: The 1980s. It includes (mainly tax-related) incentives. Plutarch in his Parallel Lives ( Sertorius , 75 AD) referring to the military commander Quintus Sertorius (d. 72 BC), relates that after his return to Cádiz , he met sailors who spoke of idyllic Atlantic islands: "The islands are said to be two in number separated by a very narrow strait and lie 10,000 furlongs [2,000 km] from Africa. They are called
6099-588: The Autonomous Region of Madeira provided for in the Portuguese Constitution . The region is an integral part of the European Union as an outermost region . Madeira generally has a mild/moderate subtropical climate with mediterranean summer droughts and winter rain. Many microclimates are found at different elevations. Madeira, uninhabited at the time, was claimed by Portuguese sailors in
6206-491: The BG and EE systems. Nonstandard units include the reyn (lbf·s/in ), a British unit of dynamic viscosity. In the automotive industry the viscosity index is used to describe the change of viscosity with temperature. The reciprocal of viscosity is fluidity , usually symbolized by ϕ = 1 / μ {\displaystyle \phi =1/\mu } or F = 1 / μ {\displaystyle F=1/\mu } , depending on
6313-463: The Couette flow, a fluid is trapped between two infinitely large plates, one fixed and one in parallel motion at constant speed u {\displaystyle u} (see illustration to the right). If the speed of the top plate is low enough (to avoid turbulence), then in steady state the fluid particles move parallel to it, and their speed varies from 0 {\displaystyle 0} at
6420-513: The Madeira sugar trade, with the refining and distribution concentrated in Antwerp. By the 1490s Madeira had overtaken Cyprus as a producer of sugar." Sugarcane production was the primary engine of the island's economy, which quickly afforded the Funchal metropolis economic prosperity. The production of sugar cane attracted adventurers and merchants from all parts of Europe, especially Italians , Basques , Catalans , and Flemish . This meant that, in
6527-673: The Republic according to the results of the election to the legislative assemblies. The sovereignty of the Portuguese Republic is represented in Madeira by the Representative of the Republic, appointed by the President of the Republic on the advice of the Government of the Republic . The tasks of the Representative of the Republic are to sign and order the publication of regional legislative decrees and regional regulatory decrees or to exercise
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#17328730938126634-534: The arithmetic and the reference table provided in ASTM D 2161. Madeira Madeira ( / m ə ˈ d ɪər ə / mə- DEER -ə or / m ə ˈ d ɛər ə / mə- DAIR -ə ; European Portuguese: [mɐˈðɐjɾɐ] ), officially the Autonomous Region of Madeira ( Portuguese : Região Autónoma da Madeira ), is an autonomous region of Portugal . It is an archipelago situated in
6741-504: The best farmlands were strictly controlled by the nobility. To have minimum conditions for the development of agriculture on the island, the settlers had to chop down part of the dense forest and build a large number of water channels, called “levadas”, to carry the abundant waters on the north coast to the south coast of the island. Initially, the settlers produced wheat for their own sustenance but later began to export wheat to mainland Portugal. In earlier times, fish and vegetables were
6848-425: The bottom to u {\displaystyle u} at the top. Each layer of fluid moves faster than the one just below it, and friction between them gives rise to a force resisting their relative motion. In particular, the fluid applies on the top plate a force in the direction opposite to its motion, and an equal but opposite force on the bottom plate. An external force is therefore required in order to keep
6955-432: The consistency of syrup is achieved. Many types of molasses on the market are branded unsulfured . In the past, many foods, including molasses, were treated with a sulfur dioxide preservative, helping to kill off moulds and bacteria. Sulfur dioxide is also used as a bleaching agent to help lighten the colour of molasses. Most brands have abandoned the use of sulfur dioxide in molasses because untreated molasses already has
7062-414: The context of sugar production, slave labour was applied for the first time. The colonial system of sugar production was put into practice on the island of Madeira, on a much smaller scale, and later transferred, on a large scale, to other overseas production areas. Later on, this small scale of production was outmatched by Brazilian and São Tomean plantations. Madeiran sugar production declined in such
7169-597: The convention used, measured in reciprocal poise (P , or cm · s · g ), sometimes called the rhe . Fluidity is seldom used in engineering practice. At one time the petroleum industry relied on measuring kinematic viscosity by means of the Saybolt viscometer , and expressing kinematic viscosity in units of Saybolt universal seconds (SUS). Other abbreviations such as SSU ( Saybolt seconds universal ) or SUV ( Saybolt universal viscosity ) are sometimes used. Kinematic viscosity in centistokes can be converted from SUS according to
7276-571: The distillation of rum , additive in mortar , and as a soil amendment to promote microbial activity. The unique flavor and nutritional profile of molasses make it a versatile ingredient with both food and non-food applications. The word molasses comes from melaço in Portuguese , a derivative (intensifier) of mel (honey) with Latinate roots. Cognates include Ancient Greek μέλι ( méli ) ( honey ), Latin mel , Spanish melaza (molasses), Romanian miere or melasă , and French mélasse (molasses). Blackstrap
7383-461: The dynamic viscosity (sometimes also called the absolute viscosity ) is common among mechanical and chemical engineers , as well as mathematicians and physicists. However, the Greek letter eta ( η {\displaystyle \eta } ) is also used by chemists, physicists, and the IUPAC . The viscosity μ {\displaystyle \mu } is sometimes also called
7490-407: The equivalent forms pascal - second (Pa·s), kilogram per meter per second (kg·m ·s ) and poiseuille (Pl). The CGS unit is the poise (P, or g·cm ·s = 0.1 Pa·s), named after Jean Léonard Marie Poiseuille . It is commonly expressed, particularly in ASTM standards, as centipoise (cP). The centipoise is convenient because the viscosity of water at 20 °C is about 1 cP, and one centipoise
7597-486: The first water-driven sugar mill on Madeira, sugar production increased to over 6,000 arrobas (an arroba was equal to 11 to 12 kilograms or 24 to 26 pounds) by 1455, using advisers from Sicily and financed by Genoese capital (Genoa acted as an integral part of the island economy until the 17th century). The accessibility of Madeira attracted Genoese and Flemish traders, who were keen to bypass Venetian monopolies. "By 1480 Antwerp had some seventy ships engaged in
7704-672: The floor of the Atlantic Ocean, on the Tore underwater mountain range. The volcano formed atop an east–west rift in the oceanic crust along the African Plate , beginning during the Miocene epoch (5 million years ago), continuing into the Pleistocene (700,000 years ago). This was followed by extensive erosion , producing two large amphitheatres opening southward in the central part of
7811-409: The fluid do not depend on the distance the fluid has been sheared; rather, they depend on how quickly the shearing occurs. Viscosity is the material property which relates the viscous stresses in a material to the rate of change of a deformation (the strain rate). Although it applies to general flows, it is easy to visualize and define in a simple shearing flow, such as a planar Couette flow . In
7918-459: The fluid is essential to obtain accurate measurements, particularly in materials like lubricants, whose viscosity can double with a change of only 5 °C. A rheometer is used for fluids that cannot be defined by a single value of viscosity and therefore require more parameters to be set and measured than is the case for a viscometer. For some fluids, the viscosity is constant over a wide range of shear rates ( Newtonian fluids ). The fluids without
8025-426: The force experienced by a spring is proportional to the distance displaced from equilibrium. Stresses which can be attributed to the deformation of a material from some rest state are called elastic stresses. In other materials, stresses are present which can be attributed to the deformation rate over time . These are called viscous stresses. For instance, in a fluid such as water the stresses which arise from shearing
8132-405: The friction between the layers of the fluid which are in relative motion. For a tube with a constant rate of flow, the strength of the compensating force is proportional to the fluid's viscosity. In general, viscosity depends on a fluid's state, such as its temperature, pressure, and rate of deformation. However, the dependence on some of these properties is negligible in certain cases. For example,
8239-462: The historical autonomic aspirations of the population, the Autonomous Regions of Madeira was established in 1976. Although it is a politico-administrative autonomous region, the Portuguese constitution specifies both a regional and national connection, obliging their administrations to maintain democratic principles and promote regional interests, while reinforcing national unity. As defined by
8346-429: The interior generally inaccessible. Daily life is concentrated in the many villages at the mouths of the ravines, through which the heavy autumn and winter rains travel to the sea. Madeira has many different bioclimates. Based on differences in sun exposure, humidity, and annual mean temperature, clear variations distinguish north- and south-facing regions, as well as some islands. The islands are strongly influenced by
8453-409: The internal frictional force between adjacent layers of fluid that are in relative motion. For instance, when a viscous fluid is forced through a tube, it flows more quickly near the tube's center line than near its walls. Experiments show that some stress (such as a pressure difference between the two ends of the tube) is needed to sustain the flow. This is because a force is required to overcome
8560-484: The island of Porto Santo, claimed it on behalf of the Portuguese Crown, and established a settlement. The new settlers observed "a heavy black cloud suspended to the southwest" and upon investigation discovered the larger island they called Madeira ( Portuguese : madeira , lit. 'wood'). The first Portuguese settlers began colonizing the islands around 1420 or 1425. The first settlers were
8667-436: The island. Volcanic activity later resumed, producing scoria cones and lava flows atop the eroded shield. The most recent volcanic eruptions were on the west-central part of the island 6,500 years ago, creating more cinder cones and lava flows. It is the largest island of the group with an area of 741 km (286 sq mi), a length of 57 km (35 mi) (from Ponte de São Lourenço to Ponta do Pargo). It
8774-529: The liquid. In this method, the sensor is submerged in the fluid and is made to resonate at a specific frequency. As the surface of the sensor shears through the liquid, energy is lost due to its viscosity. This dissipated energy is then measured and converted into a viscosity reading. A higher viscosity causes a greater loss of energy. Extensional viscosity can be measured with various rheometers that apply extensional stress . Volume viscosity can be measured with an acoustic rheometer . Apparent viscosity
8881-585: The moneyed aristocracy . As a result of a high demand for the season, there was a need to prepare guides for visitors. The first tourist guide of Madeira appeared in 1850 and focused on elements of history, geology, flora , fauna and customs of the island. Regarding hotel infrastructures, the British and the Germans were the first to launch the Madeiran hotel chain. The historic Belmond Reid's Palace opened in 1891 and
8988-435: The most relevant processes in continuum mechanics is not a coincidence: these are among the few physical quantities that are conserved at the microscopic level in interparticle collisions. Thus, rather than being dictated by the fast and complex microscopic interaction timescale, their dynamics occurs on macroscopic timescales, as described by the various equations of transport theory and hydrodynamics. Newton's law of viscosity
9095-437: The north, the valleys harbor native trees. These laurissilva forests , notably those on the northern slopes, are designated as a UNESCO World Heritage Site . Madeira's paleobotanical record reveals that laurissilva forest has existed for at least 1.8 million years. Critically endangered species such as the vine Jasminum azoricum and the rowan Sorbus maderensis are endemic. The Madeiran large white butterfly
9202-457: The peaks: Ruivo (1,862 m), Torres (1,851 m), Arieiro (1,818 m), Cidrão (1,802 m), Cedro (1,759 m), Casado (1,725 m), Grande (1,657 m), Ferreiro (1,582 m). At the end of this eruptive phase, reefs encircled the island, its marine vestiges evident in a calcareous layer in the area of Lameiros, in São Vicente. Sea cliffs, such as Cabo Girão , valleys and ravines extend from this central spine, leaving
9309-509: The recommended daily value of each of those nutrients. Blackstrap is also a good source of potassium . On Madeira Island cane molasses is an important constituent of the traditional cuisine, where it is known as mel-de-cana ( Portuguese for "(sugar)cane's honey"). Its origin in Madeira dates back to the golden age of sugar production in the archipelago. Beet molasses is 50% sugar by dry weight, predominantly sucrose , but contains significant amounts of glucose and fructose . Beet molasses
9416-434: The reign of King Edward III of England , lovers Robert Machim and Anna d'Arfet were said to have fled from England to France in 1346. Driven off course by a violent storm, their ship ran aground along the coast of an island that may have been Madeira. Later this legend was the basis of the naming of the city of Machico on the island, in memory of the young lovers. Madeira appears in several medieval manuscripts, including
9523-515: The relative velocity of different fluid particles. As such, the viscous stresses must depend on spatial gradients of the flow velocity. If the velocity gradients are small, then to a first approximation the viscous stresses depend only on the first derivatives of the velocity. (For Newtonian fluids, this is also a linear dependence.) In Cartesian coordinates, the general relationship can then be written as where μ i j k ℓ {\displaystyle \mu _{ijk\ell }}
9630-516: The right of veto over regional laws, should these laws be unconstitutional. Before the sixth amendment to the Portuguese Constitution passed in 2006, this responsibility was held by a more-powerful Minister of the Republic, who was proposed by the Government and appointed by the President. Madeira is an Outermost Region (OMR) of the European Union , meaning that due to its geographical situation, it
9737-467: The same genes, but rearranged to give different chromosome numbers: the ancestral species has 40 chromosomes, whereas the Madeira species have from 22 to 30. The deep valleys of Madeira are separated by high ground, and the different species of mice do not encounter each other. A levada is an irrigation channel or aqueduct specific to the Portuguese Atlantic region of Madeira. Madeira island
9844-438: The second half of the fifteenth century, the city of Funchal became a mandatory port of call for European trade routes. Slaves were used during the island's period of sugar trade to cultivate sugar cane alongside paid workers, though slave owners were only a small minority of the Madeiran population, and those who did own slaves owned only a few. Slaves consisted of Guanches from the nearby Canary islands, captured Berbers from
9951-545: The service of Prince Henry the Navigator in 1419 and settled after 1420. The archipelago is the first territorial discovery of the exploratory period of the Age of Discovery . Madeira is a year-round resort, particularly for Portuguese, but also British (148,000 visits in 2021), and Germans (113,000). It is by far the most populous and densely populated Portuguese island. The region is noted for its Madeira wine , flora , and fauna , with its pre-historic laurel forest , classified as
10058-400: The settlers' main means of subsistence. Grain production began to fall and the ensuing crisis forced Henry the Navigator to order other commercial crops to be planted so that the islands could be profitable. These specialised plants, and their associated industrial technology, created one of the major revolutions on the islands and fuelled Portuguese industry. Following the introduction of
10165-469: The ships, U-38 bombarded Funchal for two hours from a range of about 3 kilometres (2 mi). Batteries on Madeira returned fire and eventually forced U-38 to withdraw. On 12 December 1917, two German U-boats, SM U-156 and SM U-157 (captained by Max Valentiner ), again bombarded Funchal. This time the attack lasted around 30 minutes. The U-boats fired 40 120 and 150 mm (4.7 and 5.9 in) shells. There were three fatalities and 17 wounded;
10272-531: The so-called ‘Wine Culture’, which acquired international fame and provided the rise of a new social class, the Bourgeoisie . With the increase of commercial treaties with England, important English merchants settled on the Island and, ultimately, controlled the increasingly important island wine trade. The English traders settled in the Funchal as of the seventeenth century, consolidating the markets from North America,
10379-555: The term fugitive elasticity for fluid viscosity. However, many liquids (including water) will briefly react like elastic solids when subjected to sudden stress. Conversely, many "solids" (even granite ) will flow like liquids, albeit very slowly, even under arbitrarily small stress. Such materials are best described as viscoelastic —that is, possessing both elasticity (reaction to deformation) and viscosity (reaction to rate of deformation). Viscoelastic solids may exhibit both shear viscosity and bulk viscosity. The extensional viscosity
10486-715: The term containing κ {\displaystyle \kappa } drops out. Moreover, κ {\displaystyle \kappa } is often assumed to be negligible for gases since it is 0 {\displaystyle 0} in a monatomic ideal gas . One situation in which κ {\displaystyle \kappa } can be important is the calculation of energy loss in sound and shock waves , described by Stokes' law of sound attenuation , since these phenomena involve rapid expansions and compressions. The defining equations for viscosity are not fundamental laws of nature, so their usefulness, as well as methods for measuring or calculating
10593-455: The three captain- donees and their respective families, a small group of members of the gentry, people of modest conditions and some former inmates of the kingdom . The majority of settlers were fishermen and peasant farmers who willingly left Portugal for a new life on the islands, a better one, they hoped, than was possible in a Portugal which had been ravaged by the Black Death , and where
10700-583: The top plate moving at constant speed. In many fluids, the flow velocity is observed to vary linearly from zero at the bottom to u {\displaystyle u} at the top. Moreover, the magnitude of the force, F {\displaystyle F} , acting on the top plate is found to be proportional to the speed u {\displaystyle u} and the area A {\displaystyle A} of each plate, and inversely proportional to their separation y {\displaystyle y} : The proportionality factor
10807-507: The two systems differ only in how force and mass are defined. In the BG system the pound is a basic unit from which the unit of mass (the slug ) is defined by Newton's Second Law , whereas in the EE system the units of force and mass (the pound-force and pound-mass respectively) are defined independently through the Second Law using the proportionality constant g c . Kinematic viscosity has units of square feet per second (ft /s) in both
10914-403: The viscosity depends only space- and time-dependent macroscopic fields (such as temperature and density) defining local equilibrium. Nevertheless, viscosity may still carry a non-negligible dependence on several system properties, such as temperature, pressure, and the amplitude and frequency of any external forcing. Therefore, precision measurements of viscosity are only defined with respect to
11021-609: The viscosity of a Newtonian fluid does not vary significantly with the rate of deformation. Zero viscosity (no resistance to shear stress ) is observed only at very low temperatures in superfluids ; otherwise, the second law of thermodynamics requires all fluids to have positive viscosity. A fluid that has zero viscosity (non-viscous) is called ideal or inviscid . For non-Newtonian fluid 's viscosity, there are pseudoplastic , plastic , and dilatant flows that are time-independent, and there are thixotropic and rheopectic flows that are time-dependent. The word "viscosity"
11128-571: The viscosity rank-2 tensor is isotropic reduces these 81 coefficients to three independent parameters α {\displaystyle \alpha } , β {\displaystyle \beta } , γ {\displaystyle \gamma } : and furthermore, it is assumed that no viscous forces may arise when the fluid is undergoing simple rigid-body rotation, thus β = γ {\displaystyle \beta =\gamma } , leaving only two independent parameters. The most usual decomposition
11235-500: The viscosity, must be established using separate means. A potential issue is that viscosity depends, in principle, on the full microscopic state of the fluid, which encompasses the positions and momenta of every particle in the system. Such highly detailed information is typically not available in realistic systems. However, under certain conditions most of this information can be shown to be negligible. In particular, for Newtonian fluids near equilibrium and far from boundaries (bulk state),
11342-588: Was 251,060 in 2021. The capital of Madeira is Funchal , on the main island's south coast. The archipelago includes the islands of Madeira , Porto Santo , and the Desertas , administered together with the separate archipelago of the Savage Islands . Roughly half of the population lives in Funchal. The region has political and administrative autonomy through the Administrative Political Statute of
11449-475: Was an endemic subspecies of the large white that inhabited the laurissilva forests but has not been seen since 1977. Hogna ingens , the Deserta Grande wolf spider, is endemic to the Madeira archipelago, specifically Deserta Grande Island . It is critically endangered. It is considered the largest member of its family . Restoration efforts are underway. Three species of birds are endemic to Madeira:
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