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ARTICLE

Mechanism of Thermally Radiative Prandtl Nanofluids and Double-Diffusive Convection in Tapered Channel on Peristaltic Flow with Viscous Dissipation and Induced Magnetic Field

by Yasir Khan¹, Safia Akram^2,*, Maria Athar³, Khalid Saeed⁴, Alia Razia², A. Alameer¹

1 Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin, 31991, Saudi Arabia
2 MCS, National University of Sciences and Technology, Islamabad, Pakistan
3 SEECS, National University of Sciences and Technology, Islamabad, Pakistan
4 College of Aeronautical Engineering, National University of Sciences and Technology, Islamabad, Pakistan

* Corresponding Authors: Safia Akram. Email: ,

(This article belongs to the Special Issue: Numerical Modeling and Simulations on Non-Newtonian Flow Problems)

Computer Modeling in Engineering & Sciences 2024, 138(2), 1501-1520. https://doi.org/10.32604/cmes.2023.029878

Received 12 March 2023; Accepted 07 July 2023; Issue published 17 November 2023

Abstract

The application of mathematical modeling to biological fluids is of utmost importance, as it has diverse applications in medicine. The peristaltic mechanism plays a crucial role in understanding numerous biological flows. In this paper, we present a theoretical investigation of the double diffusion convection in the peristaltic transport of a Prandtl nanofluid through an asymmetric tapered channel under the combined action of thermal radiation and an induced magnetic field. The equations for the current flow scenario are developed, incorporating relevant assumptions, and considering the effect of viscous dissipation. The impact of thermal radiation and double diffusion on public health is of particular interest. For instance, infrared radiation techniques have been used to treat various skin-related diseases and can also be employed as a measure of thermotherapy for some bones to enhance blood circulation, with radiation increasing blood flow by approximately 80%. To solve the governing equations, we employ a numerical method with the aid of symbolic software such as Mathematica and MATLAB. The velocity, magnetic force function, pressure rise, temperature, solute (species) concentration, and nanoparticle volume fraction profiles are analytically derived and graphically displayed. The results outcomes are compared with the findings of limiting situations for verification.

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Keywords

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