Mixed Convection in a Casson Fluid Flow towards a Heated Shrinking Surface

  • Haider Ali Department of Mathematics, Institute of Southern Punjab, Multan, Pakistan
  • Ghulam Shabir Department of Mathematics, University of Agriculture, Faisalabad, Pakistan
  • Zubair Ahmad Department of Mathematics, University of Agriculture, Faisalabad, Pakistan
  • Yasir Qayyum Department of Mathematics, Institute of Southern Punjab, Multan, Pakistan
  • Ather Qayyum Department of Mathematics, Institute of Southern Punjab, Multan, Pakistan
Keywords: stagnation flow, heat transfer, Casson fluid, shrinking sheet


In this paper, an extensive analysis of mixed convection effects on steady two-dimensional stagnation point flow of a Casson fluid over a heated horizontal sheet has been numerically investigated. The governing Navier-Stokes equations of the present problem are transformed into nonlinear ordinary differential equations by applying a similarity transformation. A numerical solution of the problem has been obtained by employing the linearization technique along with the finite difference discretization. The impact of the Casson fluid parameter, the thermo-radiative parameter, the mixed convection parameter, the slip parameter, and the Prandtl number on the fluid motion and temperature is studied through graphical data. The convection parameter, the slip parameter and the Casson fluid parameter tends to accelerate the flow. The temperature distribution is however reduced by the convection parameter, slip parameter, thermal radiation and the Prandtl number.

This work is based on [25] in which micropolar fluid flow over a heated surface was investigated by using the homotopy analysis method. We have extended the problem by considering the combined impact of mixed convection and thermal radiation on the Casson fluid flow towards a heated shrinking sheet, by using a numerical method.


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How to Cite
Ali, H., Shabir, G., Ahmad, Z., Qayyum, Y., & Qayyum, A. (2023). Mixed Convection in a Casson Fluid Flow towards a Heated Shrinking Surface. Earthline Journal of Mathematical Sciences, 13(2), 413-429. https://doi.org/10.34198/ejms.13223.413429