Shape optimization of a flat channel with an array of discrete, flush‐mounted heat sources on one plate being cooled by forced convective water

Abstract

Purpose

The purpose of this paper is to provide a suitable linkage between a computational fluid dynamics code and a shape optimization code for the analysis of heat/fluid flow in forced convection channels normally used in the cooling of electronic equipment.

Design/methodology/approach

A parallel‐plate channel with a discrete array of five heat sources embedded in one plate with the other plate insulated constitutes the starting model. Using water as the coolant medium, the objective is to optimize the shape of the channel employing a computerized design loop. The two‐part optimization problem is constrained to allow only the unheated plate to deform, while maintaining the same inlet shape and observing a maximum pressure drop constraint.

Findings

First, the results for the linearly deformed unheated plate show significant decrease in the plate temperatures of the heated plate, with the maximum plate temperature occurring slightly upstream of the outlet. Second, when the unheated plate is allowed to deform nonlinearly, a parabolic‐like shaped plate is achieved where the maximum plate temperature is further reduced, with a corresponding intensification in the local heat transfer coefficient. The effectiveness of the computerized design loop is demonstrated in complete detail.

Originality/value

This article offers a simple, harmonious technique for optimizing the shape of forced convection channels subjected to pre‐set design constraints.

Citation

Campo, A., Johnson, R., Landon, M.D. and Cabezas‐Gómez, L. (2010), "Shape optimization of a flat channel with an array of discrete, flush‐mounted heat sources on one plate being cooled by forced convective water", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 20 No. 3, pp. 286-297. https://doi.org/10.1108/09615531011024048