Slip Flow of a Maxwell Fluid Past a Stretching Sheet

Authors

  • Muhammad SAJID Division Theoretical Plasma Physics, PINSTECH, Nilore, Islamabad 44000
  • Zaheer ABBAS Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100
  • Nasir ALI Department of Mathematics and Statistics, International Islamic University, Islamabad 44000
  • Tariq JAVED Department of Mathematics and Statistics, International Islamic University, Islamabad 44000
  • Iftikhar AHMAD Department of Mathematics, Azad Kashmir University, Muzaffarabad 13100

Keywords:

Slip condition, Maxwell fluid, stretching flow, quasilinearization, numerical solution

Abstract

The slip flow rate of a non-Newtonian fluid (Maxwell model) past a stretching sheet is investigated in this paper. The slip condition for the Maxwell fluid is formulated and presented for the first time. The governing nonlinear partial differential equations and boundary conditions are transformed to nonlinear ordinary differential equations and boundary conditions using the well established similarity transformations for a stretching flow. For the numerical solution of the nonlinear problem we first linearize it using quasilinearization. Then the boundary value problem was transformed into 2 initial value problems by employing the method of superposition. The initial value problems were then integrated using a fourth order Runge-Kutta method. The influence of the slip parameter on the velocity components and skin friction coefficient is analyzed through graphical results. The results are valid for all the values of the slip parameter ranging from zero (no-slip) to infinity (full slip). It is also found that numerical results exist for the values less or equal to one of the dimensionless relaxation time parameter.

doi:10.14456/WJST.2014.63

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Published

2014-01-20

How to Cite

SAJID, M., ABBAS, Z., ALI, N., JAVED, T., & AHMAD, I. (2014). Slip Flow of a Maxwell Fluid Past a Stretching Sheet. Walailak Journal of Science and Technology (WJST), 11(12), 1093–1103. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/593