MHD CASSON NANOFLUID FLOW WITH VISCOUS DISSIPATION, CHEMICAL REACTION AND THERMAL RADIATION SUBJECTED TO CONVECTIVE BOUNDARY CONDITIONS

Soluade Joseph Aroloye; Olugbenga John Fenuga; Israel Olutunji Abiala; Ayobamidele Sunday Odesola; Ayobamidele Sunday Odesola

Soluade Joseph Aroloye Department of Mathematics, University of Lagos, Akoka, Lagos State, Nigeria.
Olugbenga John Fenuga Department of Mathematics, University of Lagos, Akoka, Lagos State, Nigeria.
Israel Olutunji Abiala DEPARTMENT OF MATHEMATICS, UNIVERSITY OF LAGOS, AKOKA, LAGOS STATE, NIGERIA
Ayobamidele Sunday Odesola Department of Computer and Mathematics, College of Basic and Applied Sci- ence, Mountain Top University, Ogun State, Nigeria.
Ayobamidele Sunday Odesola Department of Computer and Mathematics, College of Basic and Applied Sci- ence, Mountain Top University, Ogun State, Nigeria.

Keywords: Magenetohydrodyamics nanoparticles, Casson fluid, thermal radiations, thermal and concentration convective conditions, chemical reaction

Abstract

Casson nanofluid flow in the presence of nanoparticles, viscous dissipation, chemical reactions and thermal radiations under the influence of convective boundary conditions is numerically investigated. Convective conditions of temperature and nanoparticle concentration are employed in the formulation of the problem. The highly governing partial dierential equations models the problem are reduced to ordinary dierential equations via similarity variables. Numerical solutions via shooting method with six order Runge Kutta scheme used to solve the velocity, temperature and nanoparticle concentration models. The numerical simulation is carried out with the aid of Maple software. The results and influence of embedded flow parameters are presented through graphs and tables. The obtained results are compared with similar existing results in literature and there is excellent agreement. We found that temperature and nanoparticle concentration fields decrease when the values of Casson parameter increases. It is found that the temperature and concentrations fields enhanced as Biots numbers increase due to thermal and concentration convective conditions. The results further revealed that both the thermal and nanoparticle concentration boundary layer thicknesses are higher for the larger values of thermophoresis parameter. It is also observed that temperature and concentrations profiles reduces for large value of Brownian motion parameters. The results further reveal that both the fluid temperature and concentration increases as chemical reaction increases.

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