Exam (332).pdf - Question The differential energy equation for incompressible twodimensional flow through a \u00e2\u20ac\u0153Darcy-type\u00e2\u20ac porous medium is

# Exam (332).pdf - Question The differential energy equation...

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Question: The differential energy equation for incompressible two- dimensional flow through a â€œDarcy-typeâ€ ± porous medium is approximately where Ïƒ is the permeability of the porous medium. All other symbols have their usual meanings. (a) What are the appropriate dimensions for Ïƒ? (b) Nondimensionalize this equation, using (L, U, Ï ± , To) as scaling constants, and discuss any dimensionless parameters which arise. Answer : Write the differential energy equation for incompressible flow. ...... (1) Here, is the density, is the dynamic viscosity, is the specific heat at constant pressure, P is the pressure, T is the temperature, and k is the thermal conductivity. Write the dimensional formula for the following:
Here, is the mass,

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