MHD flow of nanofluids over an exponentially stretching sheet in a porous medium with convective boundary conditions

doi:10.1088/1674-1056/23/5/054701

中国物理B ›› 2014, Vol. 23 ›› Issue (5): 54701-054701.doi: 10.1088/1674-1056/23/5/054701

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

MHD flow of nanofluids over an exponentially stretching sheet in a porous medium with convective boundary conditions

T. Hayat^{a b}, M. Imtiaz^a, A. Alsaedi^b, R. Mansoor^a

a Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;
b Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

收稿日期:2013-04-29 修回日期:2013-10-26 出版日期:2014-05-15 发布日期:2014-05-15

MHD flow of nanofluids over an exponentially stretching sheet in a porous medium with convective boundary conditions

T. Hayat^{a b}, M. Imtiaz^a, A. Alsaedi^b, R. Mansoor^a

a Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;
b Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Received:2013-04-29 Revised:2013-10-26 Online:2014-05-15 Published:2014-05-15
Contact: T. Hayat E-mail:pensy_t@yahoo.com
About author:47.15.-x; 47.65.-d

摘要/Abstract

摘要： This article concentrates on the steady magnetohydrodynamic (MHD) flow of viscous nanofluid. The flow is caused by a permeable exponentially stretching surface. An incompressible fluid fills the porous space. A comparative study is made for the nanoparticles namely Copper (Cu), Silver (Ag), Alumina (Al₂O₃) and Titanium Oxide (TiO₂). Water is treated as a base fluid. Convective type boundary conditions are employed in modeling the heat transfer process. The non-linear partial differential equations governing the flow are reduced to an ordinary differential equation by similarity transformations. The obtained equations are then solved for the development of series solutions. Convergence of the obtained series solutions is explicitly discussed. The effects of different parameters on the velocity and temperature profiles are shown and analyzed through graphs.

关键词: MHD nanofluid, exponentially stretching sheet, porous medium, convective boundary conditions

Abstract: This article concentrates on the steady magnetohydrodynamic (MHD) flow of viscous nanofluid. The flow is caused by a permeable exponentially stretching surface. An incompressible fluid fills the porous space. A comparative study is made for the nanoparticles namely Copper (Cu), Silver (Ag), Alumina (Al₂O₃) and Titanium Oxide (TiO₂). Water is treated as a base fluid. Convective type boundary conditions are employed in modeling the heat transfer process. The non-linear partial differential equations governing the flow are reduced to an ordinary differential equation by similarity transformations. The obtained equations are then solved for the development of series solutions. Convergence of the obtained series solutions is explicitly discussed. The effects of different parameters on the velocity and temperature profiles are shown and analyzed through graphs.

Key words: MHD nanofluid, exponentially stretching sheet, porous medium, convective boundary conditions

中图分类号: (Laminar flows)

47.15.-x

47.65.-d (Magnetohydrodynamics and electrohydrodynamics)

T. Hayat, M. Imtiaz, A. Alsaedi, R. Mansoor. MHD flow of nanofluids over an exponentially stretching sheet in a porous medium with convective boundary conditions[J]. 中国物理B, 2014, 23(5): 54701-054701.

T. Hayat, M. Imtiaz, A. Alsaedi, R. Mansoor. MHD flow of nanofluids over an exponentially stretching sheet in a porous medium with convective boundary conditions[J]. Chin. Phys. B, 2014, 23(5): 54701-054701.

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MHD flow of nanofluids over an exponentially stretching sheet in a porous medium with convective boundary conditions

MHD flow of nanofluids over an exponentially stretching sheet in a porous medium with convective boundary conditions

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