Transport Equations and Similitude Laws

The Navier-Stokes equation (2.238) for an incompressible Newtonian viscous fluid can be written as 

L and V be the standard time, length and velocity, respectively, then the normalized time, length and velocity are given by 

Note that in most cases we can set r = L/V. Using the above definitions of time-space normalization we can introduce the following normalized pressure p, concentration c and temperature T  

5 Classical Theory of Diffusion and Seepage Problems in Porous Media 

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