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Rotary Oscillations of a Permeable Sphere in an Incompressible Couple Stress Fluid

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Advances in Fluid Dynamics

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

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Abstract

In this paper, an attempt is made to study the flow generated by rotary oscillations of a permeable sphere in an infinite expanse of an incompressible couple stress fluid. The flow generated is solved under Stokesian assumption for velocity field in the form of modified Bessel functions. The couple acting on the sphere due to external flow as well as internal flow is calculated. The couple has contributions to both couple stress tensor and stress tensor. Contour for the flow at different couple stress parameters is drawn to analyze the flow. It is noted that, due to couple stresses, the particles near the surface of the sphere are thrown away with velocity more than the velocity of the surface of the sphere. Comparative study of type B and type A conditions is presented through pictorial representations.

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Acknowledgements

The author P. Aparna acknowledges UGC-SERO, Hyderabad, for financial support in carrying out this work. No. F MRP-6736/16 (SERO/UGC).

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Authors and Affiliations

  1. VNRVJIET, Hyderabad, 500090, India

    P. Aparna & N. Pothanna

  2. NIT Warangal, Warangal, 506002, India

    J. V. R. Murthy

Authors
  1. P. Aparna
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  2. N. Pothanna
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  3. J. V. R. Murthy
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Corresponding author

Correspondence to P. Aparna .

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Editors and Affiliations

  1. Vellore Institute of Technology, Vellore, Tamil Nadu, India

    B. Rushi Kumar

  2. Vellore Institute of Technology, Vellore, Tamil Nadu, India

    R. Sivaraj

  3. University of Botswana, Gaborone, Botswana

    J. Prakash

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Aparna, P., Pothanna, N., Murthy, J.V.R. (2021). Rotary Oscillations of a Permeable Sphere in an Incompressible Couple Stress Fluid. In: Rushi Kumar, B., Sivaraj, R., Prakash, J. (eds) Advances in Fluid Dynamics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-4308-1_10

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  • DOI: https://doi.org/10.1007/978-981-15-4308-1_10

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-4307-4

  • Online ISBN: 978-981-15-4308-1

  • eBook Packages: EngineeringEngineering (R0)

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