Diffusivity Equation
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Revision as of 10:44, 12 September 2018 by MishaT (talk | contribs) (Created page with "From Mass conservation: :<math>\frac{d(\rho q)}{2 dx}=y_e h \phi \frac{d\rho}{dt}</math> ( 1 ) From Darcy's law: :<math>\frac{q}{2}=\frac{kA}{\mu}\ \frac{dP}{dx}</math...")
From Mass conservation:
( 1 )
From Darcy's law:
( 2 )
( 2 ) →( 1 ):
( 3 )
( 4 )
( 5 )
( 5 ) -> ( 4 ):
( 6 )
( 7 )
Assumption that viscosity is constant cancels out first term in left hand side of (7):
( 8 )
( 9 )
( 9 ) -> ( 8 ):
( 10 )
Term in (10) is second order of magnitude low and can be cancelled out, which yields:
( 11 )