Thermal transport analysis in hydromagnetic fluid-particle suspension model under the effect of slip boundary conditions and electric field: Applications in solar power plant

Document Type : Article


1 Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia

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

3 Department of Mathematics and Statistics, International Islamic University Islamabad, 44000 Pakistan

4 Department of Mathematics College of Science, Jazan University, Jazan, Saudi Arabia


The objective of this study is to investigate the effects of heat transfer analysis on Casson fluid flow with the suspension of solid particles through divergent channels under the influence of magnetic force and slip boundary conditions. The governing equations of non-Newtonian fluid (i.e. Casson fluid) are solved and presented as the closed-form solution of the problem. The graphical behavior is constructed in MATHEMATICA software and discusses the effects of emerging parameters of the current study on fluid and particle velocities distribution, stream function, temperature profile, and heat transfer rate. The temperature distribution increases against the thermal slip parameter and decreases via the velocity slip parameter. The heat transfer rate is a decreasing function of the non-Newtonian parameter, velocity slip parameter, Hartman number, and coefficient of particle fraction while this behavior no longer exists against the thermal slip parameter, Brinkman number, the Helmholtz–Smoluchowski velocity, and electroosmotic parameter. The results of our study can be reduced to the Newtonian fluid by taking . The current fluid-particle suspension Casson model helps understand the thermal properties of such a model under the action of the electric and magnetic field with slip boundary conditions. Further, the suspension of dense particles can be useful in solar power plants to restore more energy.


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