lec 10 - fluid has to being defo For a Newtonian fluid and...

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lec 10 Introduction to Fluid Mechanics Fluid Mechanics – The discipline within applied mechanics that is concerned with the behavior of liquids and gases at rest or in motion. Topics: e.g. fluid pressure, viscosity, fluid flow, turbulence Fluid – A substance that deforms continuously when acted on by a shearing (transverse) stress of any magnitude. Liquids are typically 1000 times as dense as gases. However, for both liquids and gases the density is great enough to model either as if they consist Units: British Gravitational and SI (metric) Mass in BG is measured in slugs: 1 slug = Properties of Fluids Density ρ = V/m or v = 1/ρ density, not spec vol. is used Density of water at 60°F: 1.94 slugs/ft 3 or 999 kg/m 3 Specific weight is weight per unit volume: γ = ρg
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Specific gravity is the SG = ρ/ρ H 2 O at 4°C SG Viscosity – the “thickn
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Unformatted text preview: fluid has to being defo For a Newtonian fluid and shear strain (the g Assume no slip condit y U = Not all fluids are New density of a fluid as compared w G is a ratio and has no units ness or fluidity of a fluid. The re formed by shear stress. d the relationship between shee gradient of the velocity profile) ition. tonian with water. esistance a er stress ) is Fluid Statics Pressure in a fluid increases with depth and is independent of direction as long as the fluid is at rest. Basic Equation for a Pressure Field The resultant force on a small fluid element depends only on the pressure gradient if no shear stresses are present. The equation of motion for a fluid without shear is a k p r ) =--(1) The gradient or del operator is defined as: For a fluid at rest equation (1) reduces to:...
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lec 10 - fluid has to being defo For a Newtonian fluid and...

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