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MHD natural convection nanofluid flows in a wavy trapezoidal porous enclosure with differentially heated side walls

Authors:

E S Reddy ,

National Institute of Technology, Calicut, Kerala, India., IN
About E S
Department of Mathematics
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S Panda

National Institute of Technology, Calicut, Kerala, India., IN
About S
Department of Mathematics
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Abstract

The flow analysis of the Al2O3-water nanofluid in a porous trapezoidal enclosure is deliberated in this research work. The enclosure is bounded by four differentially heated walls with the bottom wall is considered as wavy. The viscous and Joule dissipation effects are taken into account. The governing equations of the flow are non-dimensionalised, and the Galerkin finite element method is employed to solve the resulting unsteady initial and boundary value problem using Taylor-Hood elements to avoid instabilities. The numerical scheme is validated with available literature work for a simplified case of a problem, and the results are found to be in good agreement. The influence of Darcy number and nanoparticle volume fraction on the dimensionless streamlines and isotherms are plotted and illustrated in detail. The rate of heat transfers near the bottom wall in a porous medium is analysed through simulated data. It is found that the heat transfer rate increases in the presence of a porous domain. Further, a sensitivity analysis has been performed using Response Surface Methodology (RSM) to identifying the pertinent parameters of the problem like Hartmann number, Darcy number, and nanoparticles whose variation have an important influence on the average Nusselt number. The analysis reveals that the Darcy number, the Hartmann number and the nanoparticle volume fraction are related to the average Nusselt number. Thus, the finding suggests that the porous medium has a significant role in enhancing the heat transfer in a flow of MHD nanofluid within a wavy trapezoidal enclosure.

How to Cite: Reddy, E.S. and Panda, S., 2020. MHD natural convection nanofluid flows in a wavy trapezoidal porous enclosure with differentially heated side walls. Journal of the National Science Foundation of Sri Lanka, 48(1).
Published on 28 Apr 2020.
Peer Reviewed

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