Analysis of turbulent MHD Couette nanofluid flow and heat transfer using hybrid DTM

Mosayebidorcheh, S., Sheikholeslami, M., Hatami, M., & Ganji, D. D. (2016). Analysis of turbulent MHD Couette nanofluid flow and heat transfer using hybrid DTM–FDM. Particuology, 26, 95-101. https://doi.org/10.1016/j.partic.2016.01.002

Analysis of turbulent MHD Couette nanofluid flow and heat transfer using hybrid DTM–FDM

S. Mosayebidorcheh ^{a b *}, M. Sheikholeslami ^c, M. Hatami ^d, D.D. Ganji ^c *

a Young Researchers and Elite Club, Najafabad Branch, Islamic Azad University, Najafabad, Iran
b Department of Mechanical Engineering, Lenjan Branch, Islamic Azad University, Isfahan, Iran
c Department of Mechanical Engineering, Babol University of Technology, Babol, Iran
d Mechanical Engineering Department, Engineering and Technical College, Esfarayen University, Esfarayen, North Khorasan, Iran

10.1016/j.partic.2016.01.002

Volume 26, June 2016, Pages 95-101

Received 12 January 2016, Accepted 26 January 2016, Available online 23 February 2016, Version of Record 18 April 2016.

E-mail: sobhanmosayebi@yahoo.com; ddg_davood@yahoo.com

Highlights

• Unsteady MHD turbulent nanofluid flow and heat transfer between two parallel plates were studied.

• A hybrid DTM–FDM method was used to solve such problem.

• Parametric dependence of velocity and temperature profiles was examined.

• Effects of physical parameters on Nusselt number and skin friction coefficient were investigated.

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.

Graphical abstract

Keywords

Turbulent; Hall effect; Hybrid DTM–FDM; Nanofluid; Magnetohydrodynamic couette flow

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