Library Subscription: Guest
Home Archives Officers Future meetings Assembly for International Heat Transfer Conferences

FINITE ANALYTIC NUMERICAL SOLUTION OF HEAT TRANSFER AND FLOW PAST A SQUARE CHANNEL CAVITY

Ching-Jen Chen
Department of Mechanical Engineering, The University of Iowa, Iowa City, Iowa 52242

K. Obasih
Energy Division and Iowa Institute of Hydraulic Research The University of Iowa Iowa City, Iowa 52242

Abstract

A numerical solution of flow and heat transfer characteristics is obtained by the finite analytic method for a two dimensional laminar channel flow over a two dimensional square cavity. The finite analytic method utilizes the local analytic solution in a small element of the problem region to form the albebraic equation relating an interior nodal value with its surrounding nodal values. Stable and rapidly converged solutions were obtained for Reynolds numbers ranging to 103 and Prandtl number to 10. Streamfunction, vorticity and temperature profiles are solved. Local and mean Nusselt number are given. It is found that the separation streamlines between the cavity and channel flow are concave into the cavity at low Reynolds number and convex at high Reynolds number (Re > 100) and for square cavity the mean Nusselt number may be approximately correlated with Peclet number as Num = 0.365 Pe0.2

Download article Publication Ethics and Malpractice Recommend to my Librarian Bookmark this Page