Journal of
Mechanical Engineering Research

  • Abbreviation: J. Mech. Eng. Res.
  • Language: English
  • ISSN: 2141-2383
  • DOI: 10.5897/JMER
  • Start Year: 2009
  • Published Articles: 113

Full Length Research Paper

Peristaltic transport of a second-grade dusty fluid in a tube

H. Tariq
  • H. Tariq
  • Department of Mathematics and Statistics, International Islamic University Islamabad, 44000, Pakistan.
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A. A. Khan
  • A. A. Khan
  • Department of Mathematics, National University of Modern Languages Islamabad, Pakistan.
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  •  Received: 06 November 2019
  •  Accepted: 05 August 2020
  •  Published: 31 October 2020

Abstract

These article intents to analyze the behavior of second-grade dusty fluid flowing through a flexible tube whose walls are induced by the peristaltic movement. Coupled equations for the fluid and solid particles have been modelled by considering streamline conversions. Regular perturbation technique has been implemented to get the solutions and the outcomes are demonstrated through graphs. The impact of diverse parameters on the contour presentations and on the velocity of the solid grains and fluid has been illustrated. The velocity for both fluid and solid grains is increased with the enhancement in wave number and Reynolds number. In retrograde region, pumping rate increases with the increase in α and it decreases for increased values of δ. 

Key words: Peristaltic flow, second-grade dusty fluid, tube, axisymmetric flow.