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International Journal of Nonlinear Sciences and Numerical Simulation

Editor-in-Chief: Birnir, Björn

Editorial Board: Armbruster, Dieter / Chen, Xi / Bessaih, Hakima / Chou, Tom / Grauer, Rainer / Marzocchella, Antonio / Rangarajan, Govindan / Trivisa, Konstantina / Weikard, Rudi

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Volume 17, Issue 5


Dynamics of Two-Phase Dusty Fluid Flow Along a Wavy Surface

Sadia Siddiqa / M. N. Abrar / M. A. Hossain / M. Awais
  • Corresponding author
  • Department of Mathematics, COMSATS Institute of Information Technology, Kamra Road, Attock, Pakistan
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Published Online: 2016-07-19 | DOI: https://doi.org/10.1515/ijnsns-2015-0044


This article provides the computational results of laminar, boundary layer flow of a dilute gas-particle mixture over a semi-infinite vertical wavy surface. The governing parabolic partial differential equations are switched into another frame of reference by using primitive variable formulations (PVF). Two-point finite difference scheme is applied to acquire the unknown quantities of the carrier and the particle phase. The results are obtained for the cases: (i) water–metal mixture and (ii) air–metal mixture and are displayed in the form of wall shear stress, wall heat transfer, velocity profile, temperature profile, streamlines and isotherms for different emerging physical parameters. The solutions are compared, as well, with the available data in the literature. Quantitative comparison shows good compatibility between the present and the previous results. For the dusty fluid model it is found that the rate of heat transfer reduces considerably when the amplitude of the sinusoidal waveform increases from 0 to 0.5.

Keywords: natural convection; vertical wavy surface; two-phase; dusty fluid

PACS: 44.35.+c; 47.11.Bc; 47.15.Cb


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About the article

Received: 2015-04-13

Accepted: 2016-06-06

Published Online: 2016-07-19

Published in Print: 2016-08-01

Citation Information: International Journal of Nonlinear Sciences and Numerical Simulation, Volume 17, Issue 5, Pages 185–193, ISSN (Online) 2191-0294, ISSN (Print) 1565-1339, DOI: https://doi.org/10.1515/ijnsns-2015-0044.

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