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Convection in a Vertical Channel Filled with a Casson Nanofluid


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1 Department of Mathematics, S.V. University, Tirupati– 517 502, A.P., India
     

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The laminar fully developed mixed convection flow of a Casson nanofluid in a vertical channel bounded by parallel plates with asymmetrical thermal and nanoparticle concentration conditions at the walls is investigated. The nanofluid model used here includes the effects of Brownian diffusion and thermophoresis. The expressions for the velocity, temperature and nanoparticle concentration profiles are obtained. Nusselt and Sherwood numbers at the left wall of the channel are determined and discussed in detail. When the Casson parameter tend to zero, the results deduced agree with the corresponding ones of Grosan and Pop [23]. It is observed that the velocity decreases at the both walls (hot and cold walls) due to increasing Casson parameter. Further a numerical solution is also obtained and is compared with the analytical solution.

Keywords

Vertical Channel, Convection Flow, Casson Nanofluid.
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  • Convection in a Vertical Channel Filled with a Casson Nanofluid

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Authors

K. Sushma
Department of Mathematics, S.V. University, Tirupati– 517 502, A.P., India
S. Sreenadh
Department of Mathematics, S.V. University, Tirupati– 517 502, A.P., India

Abstract


The laminar fully developed mixed convection flow of a Casson nanofluid in a vertical channel bounded by parallel plates with asymmetrical thermal and nanoparticle concentration conditions at the walls is investigated. The nanofluid model used here includes the effects of Brownian diffusion and thermophoresis. The expressions for the velocity, temperature and nanoparticle concentration profiles are obtained. Nusselt and Sherwood numbers at the left wall of the channel are determined and discussed in detail. When the Casson parameter tend to zero, the results deduced agree with the corresponding ones of Grosan and Pop [23]. It is observed that the velocity decreases at the both walls (hot and cold walls) due to increasing Casson parameter. Further a numerical solution is also obtained and is compared with the analytical solution.

Keywords


Vertical Channel, Convection Flow, Casson Nanofluid.

References