Single Value Decomposition For Stability Analysis of Nonlinear Poiseuille Flows

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Turkish Journal of Engineering and Environmental Sciences
Volume:23 Issue:6
Single Value Decomposition For Stability Analysis of Nonlinear Poiseuille Flows

Single Value Decomposition For Stability Analysis of Nonlinear Poiseuille Flows

Authors : Ahmet PINARBAŞI

Pages : 403-410

View : 14 | Download : 12

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In nonlinear analysis of fluid mechanics problems, small amplitude oscillations near the Hopf bifurcation point are well-described by the Ginzburg-Landau equation. The coefficients of the Ginzburg-Landau equation can be computed efficiently and conveniently by Singular Value Decomposition insert ignore into journalissuearticles values(SVD);. In this study, the Ginzburg-Landau equation is derived for plane Poiseuille flow problem of a Newtonian fluid and the SVD method is applied in order to show how to find the coefficients of the Ginzburg-Landau equation. The analysis indicates that SVD is easy to implement and straightforward; making it the method of choice for the numerical computations of the coefficients of amplitude equations.
Keywords : Poiseuille flow, Stability, Bifurcation theory, Singular Value Decomposition

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