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equation+sheet+final

# equation+sheet+final - Ideal Gas Law p URT where p absolute...

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Ideal Gas Law RT p U where p: absolute pressure : mass density R: gas constant T: absolute temperature ( K), T ( K) = 273 + T ( C) Shear Stress for a Newtonian Fluid dy du P W where is the shear stress is the dynamic viscosity note: , the kinematic viscosity is given by = / du/dy is the time rate of strain (also the velocity gradient normal to a wall) Elasticity ± ± ² p E v where E v is the bulk modulus of elasticity p is the incremental pressure change is the incremental volume change is the volume of fluid Surface Tension : with units of force/unit length Pressure Variation with Elevation : J ² dz dp where p is the pressure z is the vertical distance (measured from the bottom up) is the specific weight of the fluid For uniform density fluid under static conditions constant 2 2 1 1 ³ ³ z P z P J J where z P ³ J is the piezometric head Pressure variation for constant temperature RT g z z o o e p p ) ( where z o is the elevation datum (elevation where p=p o ) T is in K g is the gravitation constant Pressure variation for linear temperature gradient ± ² R g o o o o T z z T p p D » « ² ² where z o is the elevation datum (elevation where T=T o and p=p o ) is the temperature gradient (i.e, dT/dz) T is in K g is the gravitation constant Hydrostatic Force on Plane Surface In general, A pdA F For uniform density conditions, A p F where

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