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Unsteady mixed convection stagnation-point flow over a plate moving along the direction of flow impingement

Siti Hidayah Muhad Saleh (Department of Mathematics, Universiti Putra Malaysia, Serdang, Malaysia)
Norihan Md. Arifin (Department of Mathematics, Universiti Putra Malaysia, Serdang, Malaysia)
Roslinda Nazar (School of Mathematical Sciences, Universiti Kebangsaan Malaysia, Bangi, Malaysia)
Ioan Pop (Department of Applied Mathematics, Babeş-Bolyai University, Cluj-Napoca, Romania)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 3 January 2017

130

Abstract

Purpose

The purpose of this paper is to present the results of an analysis performed to study unsteady mixed convection at the stagnation point flow over a plate moving along the direction of flow impingement. The similarity transformations are used to transform the governing nonlinear partial differential equation to a system of an ordinary differential equation.

Design/methodology/approach

The transformed equations are then solved numerically by a shooting technique together with bvp4c function.

Findings

The numerical results are compared with the corresponding results from previous researchers. The effects of the unsteadiness Parameter A, Prandtl number Pr, mixed convection parameter λ for plane (m = 0) and axisymmetric (m = 1) flow on the shear stress or the skin friction and heat transfer coefficients, as well as the velocity and temperature profiles, are presented and discussed.

Originality/value

Dual solutions for the opposing flow and multiple solutions for the assisting flow are found.

Keywords

Acknowledgements

The authors gratefully acknowledge the financial supports received in the form of research grants funding from the Universiti Putra Malaysia and Universiti Kebangsaan Malaysia. The authors also wish to express their sincere thanks to the very competent reviewers for the good comments and suggestions.

Citation

Muhad Saleh, S.H., Md. Arifin, N., Nazar, R. and Pop, I. (2017), "Unsteady mixed convection stagnation-point flow over a plate moving along the direction of flow impingement", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 27 No. 1, pp. 120-141. https://doi.org/10.1108/HFF-09-2015-0357

Publisher

:

Emerald Publishing Limited

Copyright © 2017, Emerald Publishing Limited

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