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Numerical investigation of buoyancy effects on hydromagnetic unsteady flow through a porous channel with suction/injection

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Abstract

The paper focus on first and second laws analysis for flow and heat transfer inside a vertical channel made of two uniformly porous parallel plates with suction/injection under the combined action of buoyancy force, transverse magnetic field and constant pressure gradient. Both vertical walls are kept isothermal at the same temperatures and the flow of the conducting fluid is assumed to be unsteady with variable viscosity. The nonlinear governing equations in Cartesian coordinate are obtained and solved numerically using semi-implicit finite difference techniques to develop expressions for velocity and temperature profiles. The entropy generation number, irreversibility distribution ratio and Bejan number are presented graphically and discussed quantitatively for various values of the embedded parameters.

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Authors and Affiliations

  1. Institute for Advanced Research in Mathematical Modeling and Computations, Cape Peninsula University of Technology, P. O. Box 1906, Bellville, 7535, South Africa

    Oluwole Daniel Makinde

  2. Center for Research in Computational and Applied Mechanics, University of Cape Town, Rondebosch, 7701, South Africa

    Tirivanhu Chinyoka

Authors
  1. Oluwole Daniel Makinde
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  2. Tirivanhu Chinyoka
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Correspondence to Tirivanhu Chinyoka.

Additional information

Recommended by Associate Editor Yang Na

Tirivanhu Chinyoka obtained a BSc (Hons) and MSc. degrees in Mathematics from the University of Zimbabwe and a Ph.D. in Applied Mathematics from Virginia Tech (USA). Dr Chinyoka’s research interests are in computational analysis of temperature dependent flow of Newtonian and non-Newtonian fluids. He currently lectures at the University of Cape Town and is also currently the Vice President of the South African Association for Theoretical and Applied Mechanics (SAAM).

Oluwole Daniel Makinde is a Senior Professor & Director of Postgraduate Studies and Director of Institute for Advance Research in Mathematical Modelling and Computations, Cape-Peninsula Univ. of Technology, Bellville, RSA. He obtained his Ph.D. in Applied Mathematics from University of Bristol, UK. He is the winner of the prestigious 2011 African Union Kwame Nkrumah Continental Scientific Award from African Heads of States for his outstanding contribution to Basic Sciences, Technology and Innovation, Winner of South African National Science & Technology Forum and National Research Foundation 2009–2010 TW Kambule Senior Black Researcher Award for his outstanding contribution to Science, Engineering, Technology and Innovation. He has also won several distinctions, scholarships, fellowships and prizes and awards. Professor Makinde is the Secretary General of African Mathematical Union, Advisory board member of Pan African Centre of Mathematics (PACM) based in Dar es Salaam, Tanzania, Scientific committee member of Centre for Applied Research in Mathematical Sciences (CARMS) at Strathmore University in Kenya and an associate member of National Institute of Theoretical Physics (NITheP) in South Africa. He attended several conferences, seminars, workshops, etc., and presented keynote research papers. He has over 30 years of teaching and research experience, taught several courses and published 4 books and monographs and over 200 research papers. He has been editor/reviewer for numerous international journals. He supervised several Ph.D. and Master students in the field of Applied Mathematical Modelling and Computations. He has been awarded with several research grants. He has been External Examiner examining Ph.D. theses to several Universities and External Assessor for many Universities assessing the research papers for the suitability of promotion of several academic staff.

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Makinde, O.D., Chinyoka, T. Numerical investigation of buoyancy effects on hydromagnetic unsteady flow through a porous channel with suction/injection. J Mech Sci Technol 27, 1557–1568 (2013). https://doi.org/10.1007/s12206-013-0221-9

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  • DOI: https://doi.org/10.1007/s12206-013-0221-9

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