Malaysian Journal of Mathematical Sciences, December 2020, Vol. 14(S)
Special Issue: 2nd International Conference on Applied & Industrial Mathematics and Statistics 2019 (ICoAIMS 2019)

Modified Magnetic Field Flow of Casson Fluid and Solid Particles with Non-Linear Thermal Radiation Effect

Arifin, N. S., Zokri, S. M., Ariffin, N. A. S., Kasim, A. R. M., and Salleh, M. Z.

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Received date: 15 January 2020
Accepted date: 12 November 2020

Two-phase flow problem has attracted considerable attention of many researchers due to its potential in investigating the flow characteristics of binary mixture of fluid and solid particles. In line with this, a mathematical model of convective flow of Casson fluid embedded with solid particles (dust) is formulated in order to study the interaction between the fluid phase and dust phase under the influences of non-linear thermal radiation and convective boundary condition (CBC) which is moving over a vertical stretching sheet. Through the use of similarity transformations, governing equations of fluid and dust phases are reduced into ordinary differential equations, which are then solved numerically by employing the Runge-Kutta Fehlberg (RKF45) method. The effects of radiation parameter and temperature ratio on velocity and temperature profiles, together with skin friction coecient and Nusselt number are presented graphically as well as in tabular form. Findings reveal that, both effects improve the motion and temperature of fluid and dust phases, respectively.

Keywords: Fluid particle interaction, non-Newtonian, numerical solution, two-phase flow



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