Joint Effect of Velocity Slip and Joule Heating MHD Casson-Williamson Nanofluid Passes Through the Stretching Porous Medium

Authors

  • Yuvaraju Namala Department of Mathematics, Sreenidhi Institute of Science and Technology, Hyderabad, Telangana, India
  • Dyapa Hymavathi Department of Mathematics, University College of Science, Mahatma Gandhi University, Nalgonda, Telangana, India
  • Ramesh Kune Department of Mathematics, Sreenidhi Institute of Science and Technology, Hyderabad, Telangana, India
  • Borra Shashidar Reddy Department of Mathematics, Sreenidhi Institute of Science and Technology, Hyderabad, Telangana, India

DOI:

https://doi.org/10.37934/arfmts.123.1.156171

Keywords:

Casson nanofluid, Williamson nanofluid, MHD, porous medium, velocity slip and joule heating

Abstract

The objective of this study is to examine the heat and mass transport characteristics of a non-Newtonian Casson-Williamson nanofluid flow over a porous stretching sheet. The viscoelastic characteristic of a fluid is obtained by combining Casson and Williamson fluids. It is anticipated that the porous media through which the non-Newtonian fluid flows will adhere to Darcy's law. The effects of magnetic and electric fields are taken into account. The mathematical modeling of this physical problem involves a set of nonlinear partial differential equations that are mass, energy and momentum, together with corresponding boundary conditions, these PDEs are transformed into dimensionless ODE by appropriate similarity transformations and solved by R-K method. The numerical analysis is subsequently presented in a visual format to illustrate the influence of different controlling parameters on velocity, temperature, and concentration. Moreover, the analysis gives higher values of magnetic, viscous dissipation and joule heating parameters leads the temperature and Nusselt number. Conversely an increasing in mixed convection parameter result in a depreciation in the temperature. The skin-friction coefficient exhibited an upward trend with an increase in the porosity parameter. The rate of heat transfer demonstrated a rise under the Joule heating conditions. These findings are compared to other recorded results for a specific situation, then displayed graphically and analyzed in terms of engineering and industrial implications. Novelty this paper is by adding joule heating to nanofluid control over heat dissipation, thermal stability, or enhanced efficiency in heat exchange applications.

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Author Biographies

Yuvaraju Namala, Department of Mathematics, Sreenidhi Institute of Science and Technology, Hyderabad, Telangana, India

yuvarajun@sreenidhi.edu.in

Dyapa Hymavathi, Department of Mathematics, University College of Science, Mahatma Gandhi University, Nalgonda, Telangana, India

dyapahyma@gmail.com

Ramesh Kune, Department of Mathematics, Sreenidhi Institute of Science and Technology, Hyderabad, Telangana, India

formularamesh@gmail.com

Borra Shashidar Reddy, Department of Mathematics, Sreenidhi Institute of Science and Technology, Hyderabad, Telangana, India

bsreddy_shashi@yahoo.com

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Published

2024-10-30

How to Cite

Namala, Y. ., Hymavathi, D. ., Kune, R. ., & Reddy, B. S. . (2024). Joint Effect of Velocity Slip and Joule Heating MHD Casson-Williamson Nanofluid Passes Through the Stretching Porous Medium. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 123(1), 156–171. https://doi.org/10.37934/arfmts.123.1.156171

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