Study of peristaltic transport of a dusty second-grade fluid in a curved configuration

Tariq, H.; Khan, A. A.; Shah, S.

doi:10.24200/sci.2023.59041.6035

Study of peristaltic transport of a dusty second-grade fluid in a curved configuration

Document Type : Article

Authors

¹ Department of Mathematics, National University of Modern Languages, Islamabad, Pakistan

² Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

³ Department of Mathematics, Government Degree College, Asghar Mall, Rawalpindi, Pakistan

10.24200/sci.2023.59041.6035

Abstract

This study attempts to analyze the effect of diverse parameters of the peristaltic flow of second grade dusty fluid through a curved configuration. Stream function conversions are used to model the separate system of equations for the dust particles and fluid. The Perturbation technique is used to get the analytical solutions and the results are verified through graphs. It is noticeable that the trapped bolus, compresses both the dust particles and fluid with an increase in `the second grade parameter'. Moreover, a surge in `the Reynolds number' Re effects the bolus trapped in the lower portion of the channel for fluid. Decrement in the velocity is observed with a rise in `the wave number' \delta and `the second grade parameter' \alpha_1.

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