Flow of Casson nanofluid with viscous dissipation and convective conditions: A mathematical model

T. Hussain¹, S. A. Shehzad², A. Alsaedi³, T. Hayat^{3, 4}, M. Ramzan¹

(1. Department of Mathematics, Faculty of Computing, Mohammad Ali Jinnah University,
Islamabad Campus 44000, Pakistan;
2. Department of Mathematics, Comsats Institute of Information Technology, Sahiwal 57000, Pakistan;
3. Department of Mathematics, Faculty of Science, King Abdulaziz University,
P. O. Box 80257, Jeddah 21589, Saudi Arabia;
4. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan)

Abstract:The magnetohydrodynamic (MHD) boundary layer flow of Casson fluid in the presence of nanoparticles is investigated. Convective conditions of temperature and nanoparticle concentration are employed in the formulation. The flow is generated due to exponentially stretching surface. The governing boundary layer equations are reduced into the ordinary differential equations. Series solutions are presented to analyze the velocity, temperature and nanoparticle concentration fields. Temperature and nanoparticle concentration fields decrease when the values of Casson parameter enhance. It is found that the Biot numbers arising due to thermal and concentration convective conditions yield an enhancement in the temperature and concentration fields. Further, we observed that both the thermal and nanoparticle concentration boundary layer thicknesses are higher for the larger values of thermophoresis parameter. The effects of Brownian motion parameter on the temperature and nanoparticle concentration are reverse.

Key words:nanoparticles; casson fluid; concentration convective condition