Peristaltic pumping of Ellis fluid through a flexible tube with complete slip effects

  • R. Saravana Madanapalle Institute of Technology and Science
  • S. Sreenadh Department of Mathematics, Sri Venkateswara University, Tirupati
  • P. Rajesh Kumar Research Scholar, Department of Mathematics, Rayalaseema University, Kurnool 518 002, India
  • V. Ramesh Babu Department of Mathematics, National Sanskrit University, Tirupati 517 507, India
Keywords: Ellis fluid, complete slip, peristalsis, shear thickening behaviour, shear thinning behavior

Abstract

The paper investigates the role of complete velocity slip on the axisymmetric peristaltic transport of Ellis fluid through a uniform flexible tube considering the long wavelength and tiny Reynolds number assumptions. The equations governing the axisymmetric flow are solved and provided the analytical expressions for axial velocity, stream function, pressure difference for shear thickening and shear thinning fluids and the effect of emerging parameters on the pressure rise with time averaged flux and stream line patterns have been discussed graphically. The trapping phenomenon results showed that the size of trapping bolus enhances with increasing values of first and second slip parameters.

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Abstract
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Published
2020-12-22
How to Cite
Saravana, R., Sreenadh, S., Kumar, P. R., & Babu, V. R. (2020). Peristaltic pumping of Ellis fluid through a flexible tube with complete slip effects. Journal of Naval Architecture and Marine Engineering, 17(2), 79-88. https://doi.org/10.3329/jname.v17i2.49559
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Articles