Monte Carlo Method of Shrinking Direction on Rectangular Slab of Fixed Boundary Condition

Abstract

The study of heat transfer is crucial for its proper implementation in engineering design process. The Shrinking Boundary Monte Carlo Method was applied to evaluate temperature distribution in a Spiral, vertically up and vertically down running direction. The outcome was equated to normal Monte Carlo Method. The results revealed that increasing the size of the rectangular slab will increase the running time to compute temperature distribution. In a given direction of running, it has different temperature distribution for the different sizes of the slab. The computational run time for a rectangular slab in a portrait shape is greater than rectangular slab in a landscape pattern. The study proved that the average of the run time for various direction of movement indicates that spiral is shorter. It is the best ways of computing temperature dispersal in a rectangular slab of fixed boundary condition. The utilization of the shrinking boundary to analyse heat transfer was successful.