= Moving thermal front in a porous current
{title2=$\rho_h(u_h-\phi V_T)h_h=\rho_c(u_c-\phi V_T)h_c$}
A localized temperature adjustment separates regions with different fluid density, viscosity and Darcy speed. <Mass conservation> in the moving frame gives the displayed plateau-depth relation. A speed stated as $V_T=\Gamma u_c$ with $u_c$ a <Darcy velocity> has effective retardation parameter $\phi\Gamma$. Setting both laboratory-frame mass fluxes equal neglects storage associated with passage of the temperature front.
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