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Hydrodynamic permeability of a membrane built up by spheroidal particles covered by porous layer

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Abstract

This paper concerns the motion of a viscous steady incompressible fluid through a membrane, where the membrane is built up by impermeable spheroidal particles covered by a porous layer. In this work, we discuss the hydrodynamic permeability of a membrane built up by spheroidal particles. Cell model technique has been used to find the hydrodynamic permeability of the membrane. The emphasis is placed on the hydrodynamic permeability of the membrane and its controlling parameters like the permeability of the porous medium, particle volume fraction, deformation parameters, stress jump coefficient. The dependency of the hydrodynamic permeability of the membrane on the above controlling parameters is discussed graphically. Some previous results for hydrodynamic permeability and drag force are verified.

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Acknowledgements

The first author is thankful to SERB, New Delhi, for supporting this research work under the research grant SR/ FTP/ MS-47/ 2012.

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Authors and Affiliations

  1. Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Allahabad, 211004, India

    Pramod Kumar Yadav

  2. Department of Mathematics, Birla Institute of Technology and Science, Pilani, Rajasthan, 333031, India

    Ashish Tiwari

  3. Department of Mathematics, National Institute of Technology Patna, Patna, 800005, India

    Priyanka Singh

Authors
  1. Pramod Kumar Yadav
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  2. Ashish Tiwari
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  3. Priyanka Singh
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Correspondence to Pramod Kumar Yadav.

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Funding:

This study is funded by Science and Engineering Research Board, Government of India. (SR/FTP/MS-47/2012).

Conflict of Interest:

Dr. Pramod Kumar Yadav has received a research grant from Science and Engineering Research Board, Govt. of India. Dr. Ashish Tiwari and Ms. Priyanka Singh declare that they have no conflict of interest.

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Yadav, P.K., Tiwari, A. & Singh, P. Hydrodynamic permeability of a membrane built up by spheroidal particles covered by porous layer. Acta Mech 229, 1869–1892 (2018). https://doi.org/10.1007/s00707-017-2054-6

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  • DOI: https://doi.org/10.1007/s00707-017-2054-6

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