Boundary layer flow of an Oldroyd-B fluid in the region of a stagnation point over a stretching sheet

Canadian Journal of Physics - Tập 88 Số 9 - Trang 635-640 - 2010
M. Sajid1,2, Zaheer Abbas1,2, T. Javed1,2, Nasir Ali1,2
1Department of Mathematics, Faculty of Basic and Applied Sciences, International Islamic University, Islamabad 44000, Pakistan.
2Theoretical Plasma Physics Division, PINSTECH, P.O. Nilore, Islamabad 44000, Pakistan

Tóm tắt

In this paper, the mathematical model for the two-dimensional boundary layer flow of an Oldroyd-B fluid is presented. The developed equations are used to discuss the problem of two-dimensional flow in the region of a stagnation point over a stretching sheet. The obtained partial differential equations are reduced to an ordinary differential equation by a suitable transformation. The obtained equation is then solved using a finite difference method. The influence of the pertinent fluid parameters on the velocity is discussed through graphs. The behaviour of f ″(0) is also investigated with changes in parameter values. It is observed that an increase in the relaxation time constant causes a reduction in the boundary layer thickness. To the best of our knowledge, this type of solution for an Oldroyd-B fluid is presented for the first time in the literature.

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Thông tin xuất bản

Canadian Journal of Physics

Tập 88 Số 9

635-640

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