A study of fractional Oldroyd-B fluid flow in a ciliated tube

Articles in Press

Document Type : Article

Authors

1 Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan

2 Department of Mathematical Sciences, Federal Urdu University of Arts, Sciences & Technology, Near Bahria Enclave, Sector C-2, Islamabad 44000, Pakistan

3 Mechanical Engineering Department, Universite de Sherbrooke, Sherbrooke (QC), J1K2R1 Canada

Abstract

This study presents a mathematical model for the fractional Oldroyd-B fluid flow through a ciliated tube. The proposed model simulates the movement of mucus (fractional Oldroyd-B fluid) within the respiratory tract, where symplectic and antiplectic metachronal wave patterns are generated by ciliary motion. The model, though intricate, is simplified using the lubrication approach, and the resulting partial differential Equations (pdes) are solved using the fractional Adomian Decomposition Method (ADM). For the analysis of fluid flow, mathematical expressions for the pressure gradient, pressure rise, frictional force, and streamlines are derived, plotted, and discussed. The graphical results demonstrate that the symplectic wave pattern is more effective than the antiplectic wave pattern in transporting mucus through the respiratory tract.

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Scientia Iranica

Articles in Press, Accepted Manuscript
Available Online from 15 February 2025

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History

  • Receive Date: 02 December 2023
  • Revise Date: 06 October 2024
  • Accept Date: 15 February 2025

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