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Pramana

, 88:52 | Cite as

Physical hydrodynamic propulsion model study on creeping viscous flow through a ciliated porous tube

  • NOREEN SHER AKBAR
  • ADIL WAHID BUTTEmail author
  • DHARMENDRA TRIPATHI
  • O ANWAR BÉG
Article

Abstract

The present investigation focusses on a mathematical study of creeping viscous flow induced by metachronal wave propagation in a horizontal ciliated tube containing porous media. Creeping flow limitations are imposed, i.e. inertial forces are small compared to viscous forces and therefore a very low Reynolds number (Re ≪ 1) is taken into account. The wavelength of metachronal wave is also considered to be very large for cilia movement. The physical problem is linearized and exact solutions are developed for the differential equation problem. Mathematica software is used to compute and illustrate numerical results. The influence of slip parameter and Darcy number on velocity profile, pressure gradient and trapping of bolus are discussed with the aid of graphs. It is found that with increasing magnitude of the slip parameter, the trapped bolus inside the streamlines increases in size. The study is relevant to biological propulsion of medical micromachines in drug delivery.

Keywords

Viscous fluid ciliated tube porous medium Darcy number permeability low Reynolds number hydrodynamic slip biomimetic propulsion. 

PACS No.

47.10.A 

Notes

Acknowledgement

Authors are thankful to the reviewer for useful suggestions to improve the manuscript.

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Copyright information

© Indian Academy of Sciences 2017

Authors and Affiliations

  • NOREEN SHER AKBAR
    • 1
  • ADIL WAHID BUTT
    • 2
    Email author
  • DHARMENDRA TRIPATHI
    • 3
  • O ANWAR BÉG
    • 4
  1. 1.DBS&H, CEMENational University of Sciences and TechnologyIslamabadPakistan
  2. 2.DBS&H, MCENational University of Sciences and TechnologyIslamabadPakistan
  3. 3.Department of Mechanical EngineeringManipal UniversityJaipurIndia
  4. 4.GORT – Aerospace, Marine and Medical Engineering SciencesEnglandUK

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