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Solve for the flow of water using the Darcy equation for clay, ... | Filo

Solve for the flow of water using the Darcy equation for clay, ... | Filo

5.5K views7 months ago

The differential energy equation for incompressible two-dimensional flow through a "Darcy-type" porous medium is approximately:âˆ‚(u)/âˆ‚(x) âˆ‚(u)/âˆ‚(y) = 0where Î¼ is the permeability of the porous medium. All other symbols have their usual meanings.(a) What are the appropriate dimensions for Î¼?(b) Nondimensionalize this equation, using (L, U, p, T) as scaling constants, and discuss any dimensionless parameters which arise.

The differential energy equation for incompressible two-dimensional f…

The differential energy equation for incompressible two-dimensional flow through a "Darcy-type" porous medium is approximately ρcp (σ)/(μ) (∂p)/(∂x) (∂T)/(∂x) ρcp (σ)/(μ) (∂p)/(∂y) (∂T)/(∂y) k (∂^2 T)/(∂y^2)=0 where σis the permeability of the porous medium. All other symbols have their usual meanings. ( a ) What are the appropriate dimensions for σ?(b) Nondimensionalize this equation, using (L, U, ρ, T0) as scaling constants, and discuss any dimensionless parameters which arise. | Numerade

The differential energy equation for incompressible two-dimensional f…

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