Acta Mechanica

, Volume 229, Issue 4, pp 1869–1892 | Cite as

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

  • Pramod Kumar Yadav
  • Ashish Tiwari
  • Priyanka Singh
Original Paper


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

Compliance with Ethical Standards:


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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Copyright information

© Springer-Verlag GmbH Austria 2017

Authors and Affiliations

  • Pramod Kumar Yadav
    • 1
  • Ashish Tiwari
    • 2
  • Priyanka Singh
    • 3
  1. 1.Department of MathematicsMotilal Nehru National Institute of Technology AllahabadAllahabadIndia
  2. 2.Department of MathematicsBirla Institute of Technology and SciencePilaniIndia
  3. 3.Department of MathematicsNational Institute of Technology PatnaPatnaIndia

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