IJPAM: Volume 46, No. 2 (2008)

Invited Lecture Delivered at
Forth International Conference of Applied Mathematics
and Computing (Plovdiv, Bulgaria, August 12-18, 2007)


SPECTRAL ANALYSIS OF NATURAL CONVECTION HEAT
TRANSFER FROM A RECTANGULAR CYLINDER
PARTIALLY HEATED IN AN INFINITE EXTENSION

Yoshihiro Mochimaru$^1$, Myung-Whan Bae$^2$
$^1$Department of Mathematics
Tokyo Institute of Technology
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.Two-dimensional steady-state natural convection around a rectangular cylinder placed horizontally is analyzed, using a spectral finite difference scheme by a time marching algorithm. Formulation of doubly-connectedness is introduced, whereas a conformal mapping coordinate system is used in conjunction with Jacobian elliptic functions. Heat and fluid flow characteristics are given for some cases in combinations of configurations and flow parameters.

Received: August 17, 2007

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: 2008
Volume: 46
Issue: 2