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Momentum and thermal transport through open-celled metallic foams filled in a channel of small height is studied in the present technical brief. Fully developed momentum and thermal layers via the Brinkman–Darcy model enable us to obtain closed-form solutions regarding the fluid velocity and temperature distributions of metal and fluid, all depending upon a factor related to the wall slip velocity. A comparative study on the pertinent physical parameters helps us conclude that the wall slip cools the porous channel, enhancing the rate of heat transfer. In addition to this, increasing pore density leads to an effective reduction in the entropy generation number, followed by further reduction with the nonzero slip velocity, except the near-wall regions.

Velocity Slip and Entropy Generation Phenomena in Thermal Transport Through Metallic Porous Channel