IJPAM: Volume 32, No. 1 (2006)

NATURAL CONVECTION HEAT TRANSFER IN
A DOUBLY-CONNECTED REGION, USING
A SPECTRAL FINITE DIFFERENCE SCHEME

Yoshihiro Mochimaru$^1$, Myung-Whan Bae$^2$
$^{1}$Department of International Development Engineering
Graduate School of Science and Engineering
Tokyo Institute of Technology
Ookayama, Meguro-ku, Tokyo, 152-8550, JAPAN
e-mail: ymochima@o.cc.titech.ac.jp
$^{2}$Gyeongsang National University
Jinju, 660-701, KOREA
e-mail: mwbae@nongae.gsnu.ac.kr


Abstract.Axisymmetric steady-state Newtonian natural convection heat transfer from a near torus, which is heated at a uniform temperature and located concentrically in a vertical cylindrical cavity of finite height is analyzed. The cavity wall is kept at a constant uniform temperature. A spectral finite difference scheme is applied to get a steady-state solution as an initial and boundary-value problem.

Received: August 13, 2006

AMS Subject Classification: 33E05, 65M70, 80A20

Key Words and Phrases: natural convection, doubly-connected, spectral finite difference

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 32
Issue: 1