Abstract

Thermal management of distributed electronics similar to data centers is studied using a bi-disperse porous medium (BDPM) approach. The BDPM channel comprises heat generating micro-porous square blocks, separated by macro-pores. Laminar forced convection cooling fluid of Pr = 0.7 saturates both the micro- and macro-pores. Bi-dispersion effect is induced by varying the macro-pore volume fraction ϕ E , and by changing the number of porous blocks N 2, both representing re-distribution of the electronics. When 0.2 ⩽ ϕ E ⩽ 0.86, the heat transfer Nu is enhanced twice (from ∼550 to ∼ 1100) while the pressure drop Δ p ∗ reduces almost eightfold. For ϕ E < 0.5, Nu reduces quickly to reach a minimum at the mono-disperse porous medium (MDPM) limit ( ϕ E → 0). Compared to N 2 = 1 case, Nu for BDPM configuration is high when N 2 ≫ 1, i.e., the micro-porous blocks are many and well distributed. The Nu increase with Re changes from non-linear to linear as N 2 increases from 1 to 81, with corresponding insignificant pumping power increase.

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