Abstract
Abstract This study gives unsteady radiative magneto hydrodynamic Carreau-Casson fluids in suspension of graphene particle with Cattaneo-Christov model. A simulation is performed by mixing of graphene nanoparticles into the base water. The arising set of governing partial differential equations (PDEs) are transformed into set of ordinary differential equations (ODEs) using similarity transformations and then solved numerically using shooting technique with Runge-Kutta (RK) method. The computational results for non-dimensional temperature and velocity profiles are presented through graphs and tables. We also presented the numerical values of physical quantities (friction factor and local numbers) for various physical parameters. We compared the present results with existing literature under some limited case. At the end of this analysis we concluded that, the temperature profiles are higher in Casson fluid when compared to Carreau fluid. Similarly, the friction between the particles is more in Casson fluid compare to Carreau fluid, and heat transfer rate is high in Carreau fluid compared to Casson fluid. This help us to conclude that the cooling treatment by using Casson fluid is useful compared to Carreau fluid over unsteady sheet.
Highlights
The analysis of unsteady ow and the heat transfer of conducting uid is another one central part of our research, practical applications of this unsteady ow are noticed in cooling systems in refrigerator, electronic devices in computers, air conditioners and air heat exchangers
A simulation is performed by mixing of graphene nanoparticles into the base water
The friction between the particles is more in Casson uid compare to Carreau uid, and heat transfer rate is high in Carreau uid compared to Casson uid
Summary
The analysis of unsteady ow and the heat transfer of conducting uid is another one central part of our research, practical applications of this unsteady ow are noticed in cooling systems in refrigerator, electronic devices in computers, air conditioners and air heat exchangers. Prasad et al [2] studied an unsteady ow of a dusty incompressible uid between two parallel plates under an impulsive pressure gradient. Mitra et al [7] studied an unsteady laminar ow of an electrically conducting, viscous and incompressible dusty uid between two largely extended non-conducting parallel plates under magnetic eld. Unsteady boundary layer stagnation point uid ow and transfer of heat on the way to a stretching sheet by taking in an account of partial slip conditions is investigated by Bhattacharyya et al [9]. Work due to deformation and the heat transfer in the laminar boundary layer of a viscous uid on a linearly stretching sheet, continuous surface with variable wall temperature subject to suction or
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