NDLI: Effect of Wall Thermal Boundary Conditions on the Development of Three-Dimensional, Unsteady Natural Convective Flow in a Horizontal Enclosure With a Heated Strip on the Lower Surface

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Patrick, H. Oosthuizen Jane, T. Paul
Copyright Year	2004
Abstract	Flow in a rectangular enclosure with a square vertical cross-section normal to the longitudinal coordinate direction and having a strip on the lower horizontal surface which is heated to a uniform high temperature has been numerically studied. Two wall thermal boundary conditions have been considered. In one, the longitudinal vertical side walls are cooled to a uniform low temperature and the horizontal top surface is adiabatic while in the other the longitudinal vertical side walls and the horizontal top surface are cooled to a uniform low temperature. In both cases, the square vertical end walls of the enclosure are adiabatic. It has been assumed that the flow is laminar and that the fluid properties are constant except for the density change with temperature which gives rise to the buoyancy forces. The unsteady, three-dimensional governing equations, expressed in dimensionless form, have been solved using a finite-difference procedure. The solution was started with no flow in the enclosure. The solution, in general, has the following parameters: the Rayleigh Number, Ra, the Prandtl number, Pr, the dimensionless longitudinal length of the enclosure relative to the size of the square cross-section, Ay, the dimensionless width of the heated strip on the lower surface relative to the size of the square cross-section, wH, and the thermal boundary condition on the upper surface. Results have only been obtained for a Prandtl number of 0.7 and only results for wH = 1/3 will be presented. Results have been obtained for values of Ay between 0.5 and 2 for Rayleigh numbers up to 5×105. In all cases, three-dimensional unsteady flow has been found to exist at the higher Rayleigh numbers. The conditions under which this unsteady flow develops and the effect of Ay on the variation of the mean Nusselt number with Rayleigh number and the effect of the wall surface boundary condition on these results has been investigated.
Sponsorship	Heat Transfer Division
Starting Page	173
Ending Page	180
Page Count	8
File Format	PDF
ISBN	079184711X
DOI	10.1115/IMECE2004-61381
Volume Number	Heat Transfer, Volume 3
Conference Proceedings	ASME 2004 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2004-11-13
Publisher Place	Anaheim, California, USA
Access Restriction	Subscribed
Subject Keyword	Unsteady Numerical Three-dimensional Convection Thermal boundary layers Strips Temperature Buoyancy Unsteady flow High temperature Rayleigh number Flow (dynamics) Density Prandtl number Fluids Boundary-value problems Low temperature
Content Type	Text
Resource Type	Article

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