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Influence of partial slip flow and thermal jump on mixed convection from an exponentially stretching surface

Prabhugouda Mallanagouda Patil (Department of Mathematics, Karnatak University, Dharwad, India)
Geeta Hadimani (Department of Mathematics, Karnatak University, Dharwad, India)
Shashikant A. (Department of Mathematics, Karnatak University, Dharwad, India)
P.S. Kulkarni (Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India)
Mukesh Kumar (School of Physics and Institute for Collider Particle Physics, University of the Witwatersrand, Johannesburg, South Africa)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 11 October 2018

Issue publication date: 19 October 2018

61

Abstract

Purpose

This paper aims to provide a detailed study on the influence of slip flow and thermal jump over mixed convection flow along an exponentially stretching surface. Also, impacts of suction/blowing, volumetric heat source/sink and velocity ratio parameter will be studied in this analysis.

Design/methodology/approach

The modeled governing equations for the assumed problem are dimensional nonlinear partial differential equations in nature. To reduce these equations, non-similar transformations are used to get the dimensionless nonlinear partial differential equations. Then, quasi-linearization technique is used to linearize these non-dimensional nonlinear partial differential equations. Finally, an implicit finite difference scheme is used to discretize the resulting equations.

Findings

The physical explanations are provided for the variations of various non-dimensional governing parameters over the velocity and temperature profiles. Also, the effects of these dimensionless parameters on skin friction coefficient and heat transfer rate are scrutinized in a manner which highlights their physical interpretation. The detailed discussion exhibits the fact that the streamwise co-ordinate velocity ratio parameter, partial slip parameter and the thermal jump parameter have significant influence over the flow and thermal fields.

Originality/value

This work has not been reported in the literature to the authors’ best of knowledge.

Keywords

Acknowledgements

P.M. Patil and Shashikant thank the University Grants Commission (UGC), New Delhi, 110 002, India, for the financial assistance under the grant: F. No. 43-413/2014 (SR) dated: 30-10-2015.

Citation

Patil, P.M., Hadimani, G., A., S., Kulkarni, P.S. and Kumar, M. (2018), "Influence of partial slip flow and thermal jump on mixed convection from an exponentially stretching surface", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 28 No. 10, pp. 2324-2341. https://doi.org/10.1108/HFF-10-2017-0396

Publisher

:

Emerald Publishing Limited

Copyright © 2018, Emerald Publishing Limited

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