Temperature-dependent heat generation and variable viscosity features for viscoelastic fluid with homogeneous and heterogeneous chemical reactions

Document Type : Research Article

Authors

1 Department of Mathematics, University of Wah, Wah Cantt, Pakistan.

2 Department of Mechanical Engineering, College of Engineering, Imam Mohammad Ibn Saud Islamic University (IMSIU), Saudi Arabia.

3 Department of Chemical Engineering, College of Engineering, Imam Mohammad Ibn Saud Islamic University (IMSIU), Saudi Arabia.

4 Department of Mathematics, Namal University, Mianwali, Pakistan.

5 Department of Mechanical Engineering, College of Engineering, University of Ha’il, Ha’il, Saudi Arabia.

6 Laboratory of Metrology and Energy Systems, Department of Energy Engineering, University of Monastir, Tunisia.

10.24200/sci.2023.61173.7179

Abstract

This investigation presents the heat and mass transfer phenomenon for the chemically reactive flow of second-grade fluid subject to homogeneous and Heterogeneous (HH) chemical reactions. The viscosity of the fluid is assumed to be temperature-dependent instead of constant. The motivation for considering the viscosity as a function of temperature is justified by applications in metallurgical processes, crude oil extraction, geothermal systems, and machinery lubrication. Additionally, viscous dissipation and temperature-dependent heat generation and absorption effects are also introduced to improve the thermal transport phenomenon. The interaction of different new variables facilitates the problem into dimensionless form. The numerical results are predicted by implementing the Runge-Kutta (RK4) method. The physical meaning behind the parameters has been reported. The tabular quantitative analysis is performed for different physical quantities.

Keywords

Main Subjects


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Volume 32, Issue 14
Transactions on Mechanical Engineering
July and August 2025 Article ID:7179
  • Receive Date: 26 September 2022
  • Revise Date: 12 July 2023
  • Accept Date: 15 October 2023