Unsteady MHD flow and heat transfer near stagnation point over a stretching/shrinking sheet in porous medium filled with a nanofluid

doi:10.1088/1674-1056/23/4/048203

中国物理B ›› 2014, Vol. 23 ›› Issue (4): 48203-048203.doi: 10.1088/1674-1056/23/4/048203

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Unsteady MHD flow and heat transfer near stagnation point over a stretching/shrinking sheet in porous medium filled with a nanofluid

Sadegh Khalili^a, Saeed Dinarvand^b, Reza Hosseini^b, Hossein Tamim^c, Ioan Pop^d

a Young Researchers and Elite Club, Saveh Branch, Islamic Azad University, Saveh, Iran;
b Mechanical Engineering Department, Amirkabir University of Technology, 424 Hafez Avenue, Tehran, Iran;
c Department of Mechanical Engineering, Saveh Branch, Islamic Azad University, Saveh, Iran;
d Department of Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania

收稿日期:2013-06-19 修回日期:2013-10-13 出版日期:2014-04-15 发布日期:2014-04-15

Unsteady MHD flow and heat transfer near stagnation point over a stretching/shrinking sheet in porous medium filled with a nanofluid

Sadegh Khalili^a, Saeed Dinarvand^b, Reza Hosseini^b, Hossein Tamim^c, Ioan Pop^d

a Young Researchers and Elite Club, Saveh Branch, Islamic Azad University, Saveh, Iran;
b Mechanical Engineering Department, Amirkabir University of Technology, 424 Hafez Avenue, Tehran, Iran;
c Department of Mechanical Engineering, Saveh Branch, Islamic Azad University, Saveh, Iran;
d Department of Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania

Received:2013-06-19 Revised:2013-10-13 Online:2014-04-15 Published:2014-04-15
Contact: Saeed Dinarvand E-mail:dinarvand@yahoo.com,dinarvand@aut.ac.ir
About author:82.70.-y; 47.10.Ad; 52.30.Cv; 02.60.Cb

摘要/Abstract

摘要： In this article, the unsteady magnetohydrodynamic (MHD) stagnation point flow and heat transfer of a nanofluid over a stretching/shrinking sheet is investigated numerically. The similarity solution is used to reduce the governing system of partial differential equations to a set of nonlinear ordinary differential equations which are then solved numerically using the fourth-order Runge-Kutta method with shooting technique. The ambient fluid velocity, stretching/shrinking velocity of sheet, and the wall temperature are assumed to vary linearly with the distance from the stagnation point. To investigate the influence of various pertinent parameters, graphical results for the local Nusselt number, the skin friction coefficient, velocity profile, and temperature profile are presented for different values of the governing parameters for three types of nanoparticles, namely copper, alumina, and titania in the water-based fluid. It is found that the dual solution exists for the decelerating flow. Numerical results show that the extent of the dual solution domain increases with the increases of velocity ratio, magnetic parameter, and permeability parameter whereas it remains constant as the value of solid volume fraction of nanoparticles changes. Also, it is found that permeability parameter has a greater effect on the flow and heat transfer of a nanofluid than the magnetic parameter.

关键词: nanofluid, Navier-Stokes equations, MHD, dual solutions, porous media

Abstract: In this article, the unsteady magnetohydrodynamic (MHD) stagnation point flow and heat transfer of a nanofluid over a stretching/shrinking sheet is investigated numerically. The similarity solution is used to reduce the governing system of partial differential equations to a set of nonlinear ordinary differential equations which are then solved numerically using the fourth-order Runge-Kutta method with shooting technique. The ambient fluid velocity, stretching/shrinking velocity of sheet, and the wall temperature are assumed to vary linearly with the distance from the stagnation point. To investigate the influence of various pertinent parameters, graphical results for the local Nusselt number, the skin friction coefficient, velocity profile, and temperature profile are presented for different values of the governing parameters for three types of nanoparticles, namely copper, alumina, and titania in the water-based fluid. It is found that the dual solution exists for the decelerating flow. Numerical results show that the extent of the dual solution domain increases with the increases of velocity ratio, magnetic parameter, and permeability parameter whereas it remains constant as the value of solid volume fraction of nanoparticles changes. Also, it is found that permeability parameter has a greater effect on the flow and heat transfer of a nanofluid than the magnetic parameter.

Key words: nanofluid, Navier-Stokes equations, MHD, dual solutions, porous media

中图分类号: (Disperse systems; complex fluids)

82.70.-y

47.10.ad (Navier-Stokes equations) 52.30.Cv (Magnetohydrodynamics (including electron magnetohydrodynamics)) 02.60.Cb (Numerical simulation; solution of equations)

Sadegh Khalili, Saeed Dinarvand, Reza Hosseini, Hossein Tamim, Ioan Pop. Unsteady MHD flow and heat transfer near stagnation point over a stretching/shrinking sheet in porous medium filled with a nanofluid[J]. 中国物理B, 2014, 23(4): 48203-048203.

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Unsteady MHD flow and heat transfer near stagnation point over a stretching/shrinking sheet in porous medium filled with a nanofluid

Unsteady MHD flow and heat transfer near stagnation point over a stretching/shrinking sheet in porous medium filled with a nanofluid

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