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research-article

Numerical Estimation of Thermal Radiation Effects on Marangoni Convection of Dusty Fluid

[+] Author and Article Information
Sadia Siddiqa

Department of Mathematics, COMSATS Institute of Information Technology, Kamra Road, Attock, Pakistan
saadiasiddiqa@gmail.com

Naheed Begum

Institute of Applied Mathematics (LSIII), TU Dortmund, Vogelpothsweg 87, Dortmund D-44227, Germany
naheed.awan6@gmail.com

Md Anwar Hossain

Fellow of Bangladesh Academy of Science, Professor (Rtd), University of Dhaka, Dhaka, Bangladesh
anwar.cfd@gmail.com

A. A. A Al-Rashad

Dept. of Automotive and Marine Engineering Technology, College of Technological Studies, The Public Authority for Applied Education and Training, Kuwait
aaa.alrashed@yahoo.com

1Corresponding author.

ASME doi:10.1115/1.4037209 History: Received December 11, 2016; Revised May 16, 2017

Abstract

In this paper numerical solutions of thermally radiating Marangoni convection of two-phase dusty fluid moving along a vertical wavy surface are established. The results are given with the understanding that the dust particles are of uniform size and dispersed in optically thick gray fluid. The numerical results are obtained by integrating the dimensionless, transformed parabolic equations, through straightforward implicit finite difference scheme. In order to analyze the influence of various controlling parameters, results are displayed in the form of rate of heat transfer, skin friction coefficient, velocity and temperature profiles, streamlines and isotherms. It is observed that the variation of thermal radiation parameter can significantly change the corresponding particle pattern and extensively promotes the heat transfer rate.

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