Homogenization via periodic unfolding produces scale-dependent effective Reynolds-type equations coupled to Darcy-Brinkman cell problems and a reduced energy equation for non-isothermal thin-film flow with viscous dissipation.
Su´ arez-Grau,Asymptotic behavior of a non-Newtonian flow in a thin domain with Navier law on a rough boundary, Nonlin
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On the effects of surface roughness in non-isothermal porous medium flow
Homogenization via periodic unfolding produces scale-dependent effective Reynolds-type equations coupled to Darcy-Brinkman cell problems and a reduced energy equation for non-isothermal thin-film flow with viscous dissipation.