Abstract
Laminar forced convection slip flow in parallel-plate microchannels filled with porous media is studied numerically. The governing momentum and energy equations are solved using the finite difference technique. The study is focused on the slip flow regime (i.e., for Knudsen numbers in the range 10−3 < Kn < 10−1 ) and the Darcy-Brinkman-Forchheimer model is used to model the flow inside the porous domain. The current study demonstrates the effects of Knudsen number Kn, Darcy number Da, Forchheimer number (Γ), and modified Reynolds number (Re ) on velocity slip and temperature jump at the wall(s). Results are given in terms of the product of the skin friction coefficient and the Reynolds number Cf Re* and the Nusselt number Nu. It is found that the skin friction is increased by: (i) increasing Darcy number and (ii) decreasing Knudsen number and/or Forchheimer number. Heat transfer is found to: (i) increase as the modified Reynolds number and/or Darcy number increases and (ii) decrease as the Knudsen number and/or Forchheimer number increases.
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