Simulation of Steady State Heat Conduction Using an Hybrid Floating Walk and Markov Chain Technique

Abstract

Markov chain technique had been developed for numerical simulation of steady state heat conduction. However the technique could only be used to handle domain with regular boundaries. An hybrid of floating walk and Markov chain techniques has therefore been developed. The technique was used to simulate temperature distribution in rectangular and two arbitrary shaped domains with mixed boundary conditions. The results obtained were compared with that obtained using finite difference and as well as using floating walk technique. Results were statistically analysed using ANOVA ( α =0.05) and the computer execution for all the three cases considered compared. The results from the developed hybrid technique were not significantly different from those from finite difference and floating walk techniques. The hybrid technique execution time was longer than that of finite difference technique but shorter than the floating walk technique. The study established the suitably of the hybrid floating walk markov chain technique for analysis of steady state heat conduction of arbitrary shaped domain.