Effects of transpiration on unsteady MHD flow of an upper convected Maxwell (UCM) fluid passing through a stretching surface in the presence of a first order chemical reaction

doi:10.1088/1674-1056/22/12/124701

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (12): 124701-124701.doi: 10.1088/1674-1056/22/12/124701

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

Effects of transpiration on unsteady MHD flow of an upper convected Maxwell (UCM) fluid passing through a stretching surface in the presence of a first order chemical reaction

Swati Mukhopadhyay^a, M. Golam Arif^b, M. Wazed Ali Pk^c

a Department of Mathematics, The University of Burdwan, Burdwan-713104, W.B., India;
b Institute of Business Administration, University of Rajshahi, Rajshahi-6205, Bangladesh;
c Department of Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh

收稿日期:2013-01-28 修回日期:2013-04-11 出版日期:2013-10-25 发布日期:2013-10-25
基金资助:
One of the authors (S.M.) was financially supported by UGC New Delhi, India through the Special Assistance Programme DSA Phase-1.

Effects of transpiration on unsteady MHD flow of an upper convected Maxwell (UCM) fluid passing through a stretching surface in the presence of a first order chemical reaction

Swati Mukhopadhyay^a, M. Golam Arif^b, M. Wazed Ali Pk^c

a Department of Mathematics, The University of Burdwan, Burdwan-713104, W.B., India;
b Institute of Business Administration, University of Rajshahi, Rajshahi-6205, Bangladesh;
c Department of Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh

Received:2013-01-28 Revised:2013-04-11 Online:2013-10-25 Published:2013-10-25
Contact: Swati Mukhopadhyay E-mail:smmath08@gmail.com
Supported by:
One of the authors (S.M.) was financially supported by UGC New Delhi, India through the Special Assistance Programme DSA Phase-1.

摘要/Abstract

摘要： The aim of this article is to present the effects of transpiration on the unsteady two-dimensional boundary layer flow of non-Newtonian fluid passing through a stretching sheet in the presence of a first order constructive/destructive chemical reaction. The upper-convected Maxwell (UCM) model is used here to characterize the non-Newtonian behavior of the fluid. Using similarity solutions, the governing nonlinear partial differential equations are transformed into ordinary ones and are then solved numerically by the shooting method. The flow fields and mass transfer are significantly influenced by the governing parameters. The fluid velocity initially decreases as the unsteadiness parameter increases and the concentration decreases significantly due to the increase in the unsteadiness. The effect of increasing values of transpiration (suction) and the Maxwell parameter is to suppress the velocity field; however, the concentration is enhanced as transpiration (suction) and the Maxwell parameter increase. Also, it is found that the fluid velocity decreases as the magnetic parameter increases; however, the concentration increases in this case.

关键词: unsteady flow, MHD, upper convected Maxwell fluid, stretching surface transpiration, chemical reaction

Abstract: The aim of this article is to present the effects of transpiration on the unsteady two-dimensional boundary layer flow of non-Newtonian fluid passing through a stretching sheet in the presence of a first order constructive/destructive chemical reaction. The upper-convected Maxwell (UCM) model is used here to characterize the non-Newtonian behavior of the fluid. Using similarity solutions, the governing nonlinear partial differential equations are transformed into ordinary ones and are then solved numerically by the shooting method. The flow fields and mass transfer are significantly influenced by the governing parameters. The fluid velocity initially decreases as the unsteadiness parameter increases and the concentration decreases significantly due to the increase in the unsteadiness. The effect of increasing values of transpiration (suction) and the Maxwell parameter is to suppress the velocity field; however, the concentration is enhanced as transpiration (suction) and the Maxwell parameter increase. Also, it is found that the fluid velocity decreases as the magnetic parameter increases; however, the concentration increases in this case.

Key words: unsteady flow, MHD, upper convected Maxwell fluid, stretching surface transpiration, chemical reaction

中图分类号: (Laminar boundary layers)

47.15.Cb

47.70.Fw (Chemically reactive flows) 47.35.Tv (Magnetohydrodynamic waves)

Swati Mukhopadhyay, M. Golam Arif, M. Wazed Ali Pk. Effects of transpiration on unsteady MHD flow of an upper convected Maxwell (UCM) fluid passing through a stretching surface in the presence of a first order chemical reaction[J]. Chin. Phys. B, 2013, 22(12): 124701-124701.

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Effects of transpiration on unsteady MHD flow of an upper convected Maxwell (UCM) fluid passing through a stretching surface in the presence of a first order chemical reaction

Effects of transpiration on unsteady MHD flow of an upper convected Maxwell (UCM) fluid passing through a stretching surface in the presence of a first order chemical reaction

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