The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON FLUID MECHANICS
Transactions ID Number: 53-594
Full Name: Andrei Kolyshkin
Position: Professor
Age: ON
Sex: Male
Address: 1 Meza street block 4 Department of Engineering Mathematics Riga Technical University Riga
Country: LATVIA
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E-mail address: akoliskins@rbs.lv
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Title of the Paper: Linear and weakly nonlinear Instability of slightly curved shallow mixing layers
Authors as they appear in the Paper: Irina Eglite, Andrei Kolyshkin
Email addresses of all the authors: irina.eglite@gmail.com, akoliskins@rbs.lv
Number of paper pages: 10
Abstract: The paper is devoted to linear and weakly nonlinear stability analysis of shallow mixing layers. The radius of curvature is assumed to be large. Linear stability problem is solved numerically using collocation method based on Chebyshev polynomials. It is shown that for stably curved mixing layers curvature has a stabilizing effect on the flow. Weakly nonlinear theory is used to derive an amplitude evolution equation for the most unstable mode. It is shown that the evolution equation in this case is the Ginzburg-Landau equation with complex coefficients. Explicit formulas for the calculation of the coefficients of the Ginzburg-Landau equation are derived. Numerical algorithm for the computation of the coefficients is described in detail.
Keywords: Linear stability, weakly nonlinear theory, method of multiple scales, Ginzburg-Landau equation, collocation method
EXTENSION of the file: .doc
Special (Invited) Session: Mathematical fluid dynamics
Organizer of the Session: Professor F.-K. Benra
How Did you learn about congress: Linear and weakly nonlinear stability of shallow flows
IP ADDRESS: 213.180.104.152
