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Analysis of turbulent MHD Couette nanofluid flow and heat transfer using hybrid DTM–FDM
Institution:1. School of Mathematical Sciences, Peking University, Beijing 100871, China;2. BIC-ESAT, College of Engineering, Peking University, Beijing 100871, China;3. State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China;4. Institute of Ocean Research, Peking University, Beijing 100871, China;5. Department of Electrical Engineering, Bahria University, Islamabad Campus, Islamabad 44000, Pakistan;1. Department of Mathematics, Davangere University, Shivagangothri, Davangere 577 007, India;2. Department of Applied Mathematics, Tunghai University, Taichung 407224, Taiwan (ROC)
Abstract:Unsteady turbulent magnetohydrodynamic nanofluid hydrothermal treatment is studied. The zero-equation turbulence model is used to simulate turbulent flow. The modeling results obtained by applying the hybrid differential transformation method–finite difference method to solve this problem confirm its viability. An analytical procedure is used for finding the effects of the problem parameters. Results indicate that the average Nusselt number over the lower plate depends linearly on volume fraction of nanofluid, Hall parameter, turbulent Eckert number, and Reynolds number whereas it is inversely proportional on the Hartmann number and the turbulent parameter.
Keywords:Turbulent  Hall effect  Hybrid DTM–FDM  Nanofluid  Magnetohydrodynamic couette flow
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