In this investigation, a semi-numerical method based on Bernstein polynomials for solving off-centered stagnation fl ow towards a rotating disc is introduced. This method expands the desired solutions in terms of a set of Bernstein polynomials over a closed interval and then makes use of the tau method to determine the expansion coef fi cients to construct approximate solutions. This method can satisfy boundary conditions at in fi nity. The properties of Bernstein polynomials are presented and are utilized to reduce the solution of governing nonlinear equations and their associated boundary conditions to the solution of algebraic equations. Graphical results are presented to investigate the in fl uence of the rotation ratio α on the radial velocity, azimuthal velocity and the induced velocities. A comparative study with the previous results of viscous fl uid fl ow in the literature is made.
کلید واژگان :Off-centered stagna- tion flow; Similarity transform; Bernstein polynomials; Function approxima- tion; Tau method
ارزش ریالی : 1200000 ریال
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