Thermal and physical impact of viscoplastic nanoparticles in a complex divergent channel due to peristalsis phenomenon: Heat generation and multiple slip effects

Walid Aich; Khurram Javid; El Sayed Mohamed Tag-ElDin; Kaouther Ghachem; Irfan Ullah; Muhammad Asad Iqbal; Sami Ullah Khan; Lioua Kolsi

doi:10.1016/j.heliyon.2023.e17644

Thermal and physical impact of viscoplastic nanoparticles in a complex divergent channel due to peristalsis phenomenon: Heat generation and multiple slip effects

Heliyon. 2023 Jul 5;9(7):e17644. doi: 10.1016/j.heliyon.2023.e17644. eCollection 2023 Jul.

Authors

Walid Aich¹, Khurram Javid², El Sayed Mohamed Tag-ElDin³, Kaouther Ghachem⁴, Irfan Ullah², Muhammad Asad Iqbal⁵, Sami Ullah Khan⁶, Lioua Kolsi¹

Affiliations

¹ Department of Mechanical Engineering , College of Engineering, University of Ha'il, Ha'il City, Saudi Arabia.
² Department of Mathematics, Northern University, Wattar-Walli Road, Nowshera, 24110, KPK, Pakistan.
³ Faculty of Engineering and Technology, Future University in Egypt, New Cairo 11835, Egypt.
⁴ Department of Industrial Engineering and Systems, College of Engineering, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia.
⁵ Department of Mathematics, University of Poonch, Rawalakot, AJK, Pakistan.
⁶ Department of Mathematics, Namal University, Mianwali 42250, Pakistan.

Abstract

In the advance studies, researchers have performed productive research contributions in the field of nanofluid mechanics under various biological assumptions. These contributions are fruitful to understand the applications of nanofluids in the various fields such as hybrid-powered engine, heart-diagnose, to prevent numerous diseases, heat exchanger, pharmaceutical processes, etc. The current analysis explores the combined effects of heat generation and chemical reaction on the peristaltic flow of viscoplastic nanofluid through a non-uniform (divergent) channel. The physical effects of second-order velocity slip, thermal slip and mass slip parameters on the rheological characteristics are also considered. To describe non-Newtonian effects, the Casson fluid is deployed. The greater wavelength assumption and low Reynolds number theory are used to attain the rheological equations. Numerical solutions of these governing equations associated with suitable boundary conditions are obtained via Mathematica symbolic software. The velocity magnitude of Casson fluid is higher than associated with Newtonian fluid. Radiation parameter has a vigorous impact in the reduction (enhancement) of temperature (mass concentration) profile. The porous parameter has a remarkable impact in reduction of temperature and velocity profile. Thermal enhancement is perceived by intensifying the chemical reaction parameter, and opposite inclination is noticed in mass concentration. Temperature has been demonstrated to be increased by increasing the Darcy number. The magnitudes of both axial velocity and temperature distribution are smaller in the presence of second-order velocity slip parameters effect as compared with no-slip condition. The magnitudes of axial velocity and mass (or, nanoparticle) concentration are augmented by accumulating the Prandtl number. A rise in Brownian parameter is noticed to depress the mass concentration. The present study has been used in bio-mechanical processes, nanomaterial devices, heat transfer enhancement, radiators, and electronics cooling systems.

Keywords: Complex peristaltic waves; Darcy's number; Second-order velocity slip; Thermal and concentration slips; Viscoplastic nanofluid fluid.