Thermal analysis in transformer oil-based MHD two-phase flow of Prandtl fluid through inclined channel

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Institute of Arts and Sciences, Government College University Faisalabad Chiniot Campus, 35400, Pakistan.

2 Department of Mathematical Sciences (FBS) BUITEMS, Quetta 87300, Pakistan.

3 School of Science, Walailak University, Nakhon Si Thammarat 80160, Thailand.

Abstract

This research is conducted to investigate the thermal analysis of the magneto two-phase flow of Prandtl fluid with the suspension of silver and hafnium nanoparticles through inclined walls of the channel. The momentum equations are modified under the addition of body forces to consider the impact of magnetic and gravitational forces. The heat equation is also updated with the addition of the heat flux term to capture the thermal radiation effects. The two-phase model is developed in terms of continuity, momentum, and heat equations of fluid and particle phases and uses dimensionless variables to simplify the system of equations. The dimensionless form of equations is solved by using the regular perturbation method in which the second Prandtl fluid parameter. (B) is taken as a perturbation parameter and produces the analytical solution in MATHEMATICA program. The graphical results revealed many physical aspects under the physical parameters in which the first and second Prandtl fluid parameters diminish the fluid and particle phase velocity distribution. The suspension of hafnium particles in the base fluid provides more heat to the system as compared to silver nanoparticles. The particle phase velocity distribution is much greater than the fluid phase against all parameters of the study. The magnetic force has an inverse relation with the velocity and thermal profiles of both phases. The current study will help to optimize the industrial thermal management process and to design efficient cooling systems in electronic devices, and in polymer and food processing.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 09 August 2025

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History

  • Receive Date: 03 January 2025
  • Revise Date: 05 July 2025
  • Accept Date: 08 August 2025

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