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Research Papers

Magnetohydrodynamic CuO–Water Nanofluid in a Porous Complex-Shaped Enclosure

[+] Author and Article Information
M. Sheikholeslami

Department of Mechanical Engineering,
Babol Noshirvani University of Technology,
P.O. Box 484,
Babol 47148-71167, Iran
e-mail: mohsen.sheikholeslami@yahoo.com

Houman B. Rokni

Department of Mechanical
and Materials Engineering,
Tennessee Technological University,
Cookeville, TN 38505
e-mail: hababzade42@students.tntech.edu

1Corresponding authors.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received September 18, 2016; final manuscript received January 8, 2017; published online April 19, 2017. Assoc. Editor: Ali J. Chamkha.

J. Thermal Sci. Eng. Appl 9(4), 041007 (Apr 19, 2017) (6 pages) Paper No: TSEA-16-1269; doi: 10.1115/1.4035973 History: Received September 18, 2016; Revised January 08, 2017

Steady nanofluid convective flow in a porous cavity is investigated. Darcy and Koo–Kleinstreuer–Li (KKL) models are considered for porous media and nanofluid, respectively. The solutions of final equations are obtained by control volume-based finite element method (CVFEM). Effective parameters are CuO–water volume fraction, number of undulations, and Rayleigh and Hartmann numbers for porous medium. A correlation for Nuave is presented. Results depicted that heat transfer improvement reduces with the rise of buoyancy forces. Influence of adding nanoparticle augments with augment of Lorentz forces. Increasing Hartmann number leads to decrease in temperature gradient.

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Figures

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Fig. 1

(a) Geometry and the boundary conditions with (b) the mesh of geometry considered in this work

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Fig. 2

Comparison of the present solution with the previous work [35] for different Rayleigh numbers when Ra = 105, Pr = 0.7 and (b) comparison of the temperature on axial midline between the present results and numerical results obtained by Khanafer et al. [36] for Gr=104, ϕ=0.1 and Pr=6.2(Cu-Water)

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Fig. 3

Isotherms (left) and streamlines (right) contours for different values of number of undulations and Hartmann number for porous medium when ϕ=0.04,Ra=100

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Fig. 4

Isotherms (left) and streamlines (right) contours for different values of number of undulations and Hartmann number for porous medium when ϕ=0.04,Ra=250

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Fig. 5

Isotherms (left) and streamlines (right) contours for different values of number of undulations and Hartmann number for porous medium when ϕ=0.04,Ra=1000

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Fig. 6

Effects of the number of undulations, nanoparticle volume fraction, Rayleigh number, and Hartmann number for porous medium on average Nusselt number

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Fig. 7

Effects of the Hartmann number and Rayleigh number for porous medium on the ratio of heat transfer enhancement due to the addition of nanoparticles when N = 6

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