Mixed convection in an enclosure with a heat-conducting body
type: Item
instance of: scholarly article
title: Mixed convection in an enclosure with a heat-conducting body
zbMATH Open document ID: 0945.76080
DOI: 10.1007/BF01179012
author: Tsan-Hui Hsu
author: Sey-Ping How
published in: Acta Mechanica
publication date: 2000-10-09T00:00:00Z
review text: This paper deals with the combined free and forced convection in a square enclosures with a finite-size heat source and with square heat-conducting body located arbitrarily within the enclosures. This model can describe some practical systems, such as an air-cooled electronic equipment with heat components or an oven with heaters. The mathematical model consists of coupled equations for stream function, vorticity transport and energy, which are solved numerically by using the cubic spline collocation method. Numerical solutions are obtained over a wide range of Grashof (Gr) and Reynolds (Re) numbers, as well as for various physical parameters. It is shown that the average Nusselt number increases significantly as the Reynolds number Re increases at a fixed \(\text{Gr/Re}^2\). Similarly, a gradual increases in the heat transfer rate is found with increasing \(\text{Gr/Re}^2\) at constant values of Re. The authors also establish that the average Nusselt number increases if the heat-conducting solid body is placed farther from the heat source or from the cold air-stream passage. An unexpected result is obtained for the dependence of thermal transport on the body conductivity. For somewhat large solid body, an obvious enhancement in the heat transfer is observed if the thermal conductivity becomes lower.
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76R05
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 1295178
zbMATH Keywords: mixed convection
zbMATH Keywords: parametric investigation
zbMATH Keywords: square enclosures
zbMATH Keywords: finite-size heat source
zbMATH Keywords: square heat-conducting body
zbMATH Keywords: stream function
zbMATH Keywords: vorticity transport
zbMATH Keywords: energy
zbMATH Keywords: cubic spline collocation method
reviewed by: Ioan Pop
MaRDI profile type: Publication
cites work: Mixed convection in an inclined channel with a discrete heat source
cites work: Polynomial interpolation methods for viscous flow calculations
cites work: Numerical integration of partial differential equations using cubic splines
cites work: A steepest gradient method for optimum structural design
full work available at URL: https://doi.org/10.1007/bf01179012
OpenAlex ID: W2027289535
description: scientific article; zbMATH DE number 1295178