ISSN Online: 2377-424X
ISBN Print: 0-89116-299-2
International Heat Transfer Conference 7
FINITE ANALYTIC NUMERICAL SOLUTION OF HEAT TRANSFER AND FLOW PAST A SQUARE CHANNEL CAVITY
Abstrakt
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