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.
Brinkman,A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles, Appl
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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.