Study on Stokes Flow of Micro-Polar Fluids by Peristaltic Pumping Through a Tube With Slip Boundary Condition

Dharmendra Tripathi; M. K. Chaube; P. K. Gupta

doi:10.3879/j.issn.1000-0887.2011.12.008

Volume 32 Issue 12

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Dharmendra Tripathi, M. K. Chaube, P. K. Gupta. Study on Stokes Flow of Micro-Polar Fluids by Peristaltic Pumping Through a Tube With Slip Boundary Condition[J]. Applied Mathematics and Mechanics, 2011, 32(12): 1481-1493. doi: 10.3879/j.issn.1000-0887.2011.12.008

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Study on Stokes Flow of Micro-Polar Fluids by Peristaltic Pumping Through a Tube With Slip Boundary Condition

doi: 10.3879/j.issn.1000-0887.2011.12.008

Department of Mathematics, BITS-Pilani, Hyderabad Campus, Hyderabad-500078, India;
Department of Mathematics, RKGIT, Ghaziabad-201001, India;
Department of Applied Mathematics, IT-BHU, Varanasi-221005, India

Received Date: 2011-01-30
Rev Recd Date: 2011-07-18
Publish Date: 2011-12-15

Abstract

Abstract

The Stokes flow of micro-polar fluids by peristaltic pumping through the cylindrical tube under the effect of slip boundary condition was studied. The motion of wall was governed by the sinusoidal wave equation. Analytical and numerical solutions for axial velocity, micro-polar vector, stream function, pressure gradient, friction force and mechanical efficiency were obtained by using the lubrication theory. The impacts of emerging parameters such as coupling number, micro-polar parameter and slip parameter on pumping characteristic, friction force and trapping phenomena were depicted graphically. Numerical computation infers that more pressure requires for peristaltic pumping when coupling number is large while opposite behavior is found for micro-polar parameter and the slip parameter. The size of trapped bolus reduces with coupling number and micro-polar parameter whereas it blows up with slip parameter.
- Stokes flow,
- micro-polar fluid,
- slip boundary condition,
- peristaltic pumping,
- mechanical efficiency,
- trapping

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References(30)

References

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