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Mathematical Problems in Engineering
Volume 2006 (2006), Article ID 23425, 16 pages

Natural convection in a square cavity with partially active vertical walls: Time-periodic boundary condition

Department of Mathematics and UGC-DRS Centre for Fluid Dynamics, Bharathiar University, Coimbatore 641 046, India

Received 27 January 2006; Revised 15 May 2006; Accepted 22 May 2006

Copyright © 2006 N. Nithyadevi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A numerical study of transient natural convection in a square cavity with partly thermally active side walls is introduced. The thermally active regions of the side walls are periodic in time. Top and bottom of the cavity are adiabatic. Nine different positions of the thermally active zones are considered. The governing equations are solved using control volume method with power-law scheme. The results are obtained for various values of amplitude, period, and Grashof numbers ranging from 104106 and different thermally active situations. It is found that the average heat transfer increases by increasing amplitude for P=1,5, and decreasing for P=3. The average Nusselt number behaves nonlinearly as a function of period.