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MHD Flow and Heat Transfer of Immiscible Micropolar and Newtonian Fluids Through a Pipe: A Numerical Approach

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Numerical Heat Transfer and Fluid Flow

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

This study deals with the MHD steady flow and heat transfer of micropolar and Newtonian fluids, flowing immiscibly through a circular pipe. The pipe is assumed to be filled with uniform porous media. The micropolar and Newtonian fluids occupy core and peripheral regions, respectively. The equations governing the flow are coupled and non-linear. The solutions for velocity, microrotation and temperature are acquired numerically employing finite difference method. At fluid–fluid interface, continuity of velocities, shear stresses, temperatures and heat fluxes are considered. The results for velocity, microrotation and temperature are displayed graphically.

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Acknowledgements

The authors are grateful to National Board for Higher Mathematics (NBHM), Department of Atomic Energy, Government of India, for the financial support through the research project Ref. No. 2/48(23)/2014/NBHM-R&D II/1083 dated 28–01–2015.

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Authors and Affiliations

  1. Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur, 440010, Maharashtra, India

    Ankush Raje & M. Devakar

Authors
  1. Ankush Raje
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  2. M. Devakar
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Correspondence to Ankush Raje .

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Editors and Affiliations

  1. National Institute of Technology Warangal, Warangal, Telangana, India

    D. Srinivasacharya

  2. Indian Institute of Technology Madras, Chennai, Tamil Nadu, India

    K. Srinivas Reddy

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Raje, A., Devakar, M. (2019). MHD Flow and Heat Transfer of Immiscible Micropolar and Newtonian Fluids Through a Pipe: A Numerical Approach. In: Srinivasacharya, D., Reddy, K. (eds) Numerical Heat Transfer and Fluid Flow. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-1903-7_8

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  • DOI: https://doi.org/10.1007/978-981-13-1903-7_8

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-1902-0

  • Online ISBN: 978-981-13-1903-7

  • eBook Packages: EngineeringEngineering (R0)

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