Department of Mechanical Engineering, K. N. Toosi University, P. O. Box 19395-1999, Tehran, Iran
Abstract
Accurate numerical solutions to some boundary layer equations are presented for boundary layer flows of incompressible Newtonian fluid over a semi-infinite plate. The differential quadrature method (DQM) is first used to reduce the governing nonlinear differential equations to a set of nonlinear algebraic equations. The Newton-Raphson method is then employed to solve the resulting system of nonlinear algebraic equations. The proposed formulation is applied here to solve some boundary layer problems including Blasius,Sakiadis, Falkner-Skan, magnetohydrodynamic (MHD) Falkner-Skan, Jeffery-Hamel, unsteady two-dimensional and three-dimensional MHD flows. A simple scheme is also presented for solving Blasius boundary layer equation. In this techniques, Blasius boundary value problem is first converted to a pair of nonlinear initial-value problems and then solved by a step-by-step DQM. The accuracy and efficiency of the proposed formulations are demonstrated by comparing the calculated results with those of other numerical and semi-analytical methods. Accurate numerical solutions are achieved using both formulations via a small number of grid points for all the cases considered
Eftekhari, S. A., & Jafari, A. A. (2013). Numerical solution of general boundary layer problems by the method of differential quadrature. Scientia Iranica, 20(4), 1278-1301.
MLA
S. A. Eftekhari; A. A. Jafari. "Numerical solution of general boundary layer problems by the method of differential quadrature". Scientia Iranica, 20, 4, 2013, 1278-1301.
HARVARD
Eftekhari, S. A., Jafari, A. A. (2013). 'Numerical solution of general boundary layer problems by the method of differential quadrature', Scientia Iranica, 20(4), pp. 1278-1301.
VANCOUVER
Eftekhari, S. A., Jafari, A. A. Numerical solution of general boundary layer problems by the method of differential quadrature. Scientia Iranica, 2013; 20(4): 1278-1301.
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