Hydromagnetic flow of a Cu–water nanofluid past a moving wedge with viscous dissipation

doi:10.1088/1674-1056/23/4/044402

中国物理B ›› 2014, Vol. 23 ›› Issue (4): 44402-044402.doi: 10.1088/1674-1056/23/4/044402

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Hydromagnetic flow of a Cu–water nanofluid past a moving wedge with viscous dissipation

A. M. Salem^{a b}, Galal Ismail^c, Rania Fathy^c

a Department of Mathematics, Faculty of Science and Arts, Qassim University, Al-Muznib, Saudi Arabia;
b Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Egypt;
c Department of Mathematics, Faculty of Science, Zagazig University, Egypt

收稿日期:2013-06-03 修回日期:2013-07-18 出版日期:2014-04-15 发布日期:2014-04-15

Hydromagnetic flow of a Cu–water nanofluid past a moving wedge with viscous dissipation

A. M. Salem^{a b}, Galal Ismail^c, Rania Fathy^c

a Department of Mathematics, Faculty of Science and Arts, Qassim University, Al-Muznib, Saudi Arabia;
b Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Egypt;
c Department of Mathematics, Faculty of Science, Zagazig University, Egypt

Received:2013-06-03 Revised:2013-07-18 Online:2014-04-15 Published:2014-04-15
Contact: A. M. Salem E-mail:azizsalem32@hotmail.com
About author:44.20.+b; 44.30.+v; 47.65.-d; 47.61.-k

摘要/Abstract

摘要： A numerical study is performed to investigate the flow and heat transfer at the surface of a permeable wedge immersed in a copper (Cu)-water-based nanofluid in the presence of magnetic field and viscous dissipation using a nanofluid model proposed by Tiwari and Das (Tiwari I K and Das M K 2007 Int. J. Heat Mass Transfer 50 2002). A similarity solution for the transformed governing equation is obtained, and those equations are solved by employing a numerical shooting technique with a fourth-order Runge-Kutta integration scheme. A comparison with previously published work is carried out and shows that they are in good agreement with each other. The effects of velocity ratio parameter <λ, solid volume fraction ø, magnetic field M, viscous dissipation E_c, and suction parameter F_w on the fluid flow and heat transfer characteristics are discussed. The unique and dual solutions for self-similar equations of the flow and heat transfer are analyzed numerically. Moreover, the range of the velocity ratio parameter for which the solution exists increases in the presence of magnetic field and suction parameter.

关键词: nanofluid, dual solution, magnetic field, viscous dissipation

Abstract: A numerical study is performed to investigate the flow and heat transfer at the surface of a permeable wedge immersed in a copper (Cu)-water-based nanofluid in the presence of magnetic field and viscous dissipation using a nanofluid model proposed by Tiwari and Das (Tiwari I K and Das M K 2007 Int. J. Heat Mass Transfer 50 2002). A similarity solution for the transformed governing equation is obtained, and those equations are solved by employing a numerical shooting technique with a fourth-order Runge-Kutta integration scheme. A comparison with previously published work is carried out and shows that they are in good agreement with each other. The effects of velocity ratio parameter <λ, solid volume fraction ø, magnetic field M, viscous dissipation E_c, and suction parameter F_w on the fluid flow and heat transfer characteristics are discussed. The unique and dual solutions for self-similar equations of the flow and heat transfer are analyzed numerically. Moreover, the range of the velocity ratio parameter for which the solution exists increases in the presence of magnetic field and suction parameter.

Key words: nanofluid, dual solution, magnetic field, viscous dissipation

中图分类号: (Boundary layer heat flow)

44.20.+b

44.30.+v (Heat flow in porous media) 47.65.-d (Magnetohydrodynamics and electrohydrodynamics) 47.61.-k (Micro- and nano- scale flow phenomena)

A. M. Salem, Galal Ismail, Rania Fathy. Hydromagnetic flow of a Cu–water nanofluid past a moving wedge with viscous dissipation[J]. 中国物理B, 2014, 23(4): 44402-044402.

A. M. Salem, Galal Ismail, Rania Fathy. Hydromagnetic flow of a Cu–water nanofluid past a moving wedge with viscous dissipation[J]. Chin. Phys. B, 2014, 23(4): 44402-044402.

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Hydromagnetic flow of a Cu–water nanofluid past a moving wedge with viscous dissipation

Hydromagnetic flow of a Cu–water nanofluid past a moving wedge with viscous dissipation

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