Optimal spacing of parallel boards with discrete heat sources cooled by laminar forced convection

This paper shows numerically how to select the optimal spacing between boards mounted in a stack of specified volume, so that overall thermal conductance between the stack and the forced coolant is maximum. Several configurations are considered: boards with uniform flux, flush-mounted discrete sources, and protruding heat sources. The flow is laminar and the pressure difference across the stack is fixed (Δp). It is shown that for all the board geometries and thermal boundary conditions studied, the optimal board-to-board spacing is correlated by (Dopt/l) nearly equal to 2.7(δpl2/μα)-1/4, where l is the effective longitudinal (flow) distance occupied by the discrete sources and the unheated patches contained between them, and μ and α are the viscosity and thermal diffusivity of the fluid. If U∞ is the free-stream velocity upstream of the stack, the optimal spacing is given by (Dopt/l) nearly equal to 3.2Pr-1/4(U∞/v)- 1/2 .

Duke Authors

Cited Authors

  • Morega, AM; Bejan, A

Published Date

  • 1994

Published In

  • Numerical Heat Transfer; Part A: Applications

Volume / Issue

  • 25 / 4

Start / End Page

  • 373 - 392

Citation Source

  • SciVal