National Academy Science Letters

, Volume 41, Issue 1, pp 53–57 | Cite as

Stokes Flow Through Assemblage of Non-homogeneous Porous Cylindrical Particles Using Cell Model Technique

  • Ashish Tiwari
  • Pramod Kumar Yadav
  • Priyanka Singh
Short Communication


The present paper concerns flow through assemblage of non-homogeneous porous cylindrical particles using cell model technique. All four cell model formulations used on hypothetical surface (Happel, Kuwabara, Kvashnin and Mehta-Morse/Cunningham.) and a comparison has been made among them for non-homogeneous porous region. Previously established results have been deduced as special case of our model. Effect of various parameters on hydrodynamic permeability of membrane has been graphically analyzed.


Stokes equation Darcy equation Hydrodynamic permeability Viscosity 



First author acknowledge its sincere thanks to DST New Delhi for providing support to his institute under FIST grant and supporting this research work under the research grant SR/FTP/MS-038/2011and second 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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Copyright information

© The National Academy of Sciences, India 2017

Authors and Affiliations

  1. 1.Department of MathematicsBITS PilaniPilaniIndia
  2. 2.Department of MathematicsMotilal Nehru National Institute of Technology AllahabadAllahabadIndia
  3. 3.Department of MathematicsNational Institute of Technology PatnaPatnaIndia

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