An Efficient Acceleration of Solving Heat and Mass Transfer Equations with the Second Kind Boundary Conditions in Capillary Porous Radially Composite Cylinder Using Programmable Graphics Hardware

Fan Wu,Hira Narang,Abdul Rafae Mohammed

doi:10.5539/cis.v13n2p75

Abstract

With the recent developments in computing technology, increased efforts have gone into the simulation of various scientific methods and phenomenon in engineering fields. One such case is the simulation of heat and mass transfer equations which is becoming more and more important in analyzing various scenarios in engineering applications. Analysing the heat and mass transfer phenomenon under various environmental conditions require us to simulate it. However, this process of numerical solution of heat and mass transfer equations is very time consuming. Therefore, this paper aims at utilizing one of the acceleration techniques developed in the graphics community that exploits a graphics processing unit (GPU) which is applied to the numerical solutions of heat and mass transfer equations. The nVidia Compute Unified Device Architecture (CUDA) programming model can be a good method of applying parallel computing to program the graphical processing unit. This paper shows a good improvement in the performance, while solving the heat and mass transfer equations for a capillary porous radially composite cylinder with the second kind of boundary conditions, numerically running on GPU. This heat and mass transfer simulation is implemented using CUDA platform on nVidia Quadro FX 4800 graphics card. Our experimental results depict the drastic performance improvement when GPU is used to perform heat and mass transfer simulation. GPU can significantly accelerate the performance with a maximum observed speedup of more than 8 fold times. Therefore, the GPU is a good approach to accelerate the heat and mass transfer simulation.

Highlights

During the last 50 years, numerous researchers and specialists working in Heat and Mass Transfer studies have spent huge amount of efforts in discovering insights both experimentally and numerically
We considered simulating heat and mass transfer differential conditions in a capillary porous radially composite cylinder with boundary conditions of second kind utilizing numerical techniques
Our principle reason here was to get numerical answers for Temperature T, and concentration C spread over the different points in a capillary porous composite solid cylinder as heat and mass are transferred from one end of the capillary porous radially composite cylinder to the

Summary

Introduction

During the last 50 years, numerous researchers and specialists working in Heat and Mass Transfer studies have spent huge amount of efforts in discovering insights both experimentally and numerically. To absolutely investigate physical phenomena of heat and mass transfer, reproducing and analyzing heat and mass transfer scenarios, such as, heat conduction, convection, and radiation are essential. During the ascent of computing technology, computers were used to find solutions to sequential problems but later when computers with high computational capabilities were introduced, people started using them for heat and mass transfer problems. These high-end computers consumed huge amount of time to simulate the intensive and complex processes of heat and mass transfer. We need to accelerate this process of simulation to be able to effectively analyze and understand the complex process of heat and mass transfer

Objectives

Results

Conclusion