Poster Session

Some Advances in Study of Heat Balance Integral Method

Zhaoqing University
Peoples Rep of China
Co-Author(s):    Feng Ling
The heat balance integral method (HBIM) originally proposed by Goodman is an effective approach of approximate analytical solutions for the diffusion equations. HBIM has fascinated many researchers in the past a couple of decades since it can be applied with relatively ease to heat conduction problems with phase change. The current work addresses some advances in development of HBIM for a variety of phase change problems, including refined integral method, alternative refined integral method, combined integral method, convergence of the refined solution, the general method for choice of the approximating function, and the improvement of the accuracy. Some challenges related to the application of the developed approximate methods were also presented.