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Non-Newtonian Fluid Flow Past a Porous Sphere Using Darcy’s Law

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Abstract

The present work describes the low Reynolds number flow of an incompressible micropolar fluid past and through a porous sphere placed in a uniform flow. Stokes equation is used for the flow outside the porous sphere and Darcy’s law is used in the porous region. The boundary conditions used are the continuity of the normal velocity components, continuity of pressures, Beavers–Joseph slip boundary condition for tangential velocities and zero microrotation at the surface of the porous sphere. The drag force exerted on the porous sphere is determined and its variation versus permeability parameter is studied numerically. The limiting cases of micropolar fluid flow past a solid sphere in an unbounded medium and viscous fluid flow past a porous sphere are obtained from the present analysis.

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Acknowledgements

This work was supported by the Chhattisgarh Council of Science and Technology, Raipur (C.G), India.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Raipur, 492010, Chhattisgarh, India

    M. Krishna Prasad

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  1. M. Krishna Prasad
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Correspondence to M. Krishna Prasad .

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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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Krishna Prasad, M. (2019). Non-Newtonian Fluid Flow Past a Porous Sphere Using Darcy’s Law. 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_24

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  • DOI: https://doi.org/10.1007/978-981-13-1903-7_24

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-1902-0

  • Online ISBN: 978-981-13-1903-7

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