Vorticity evolution in perturbed Poiseuille flow | Zendy

M.M. Jovanovic | Zendy

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Vorticity evolution in perturbed Poiseuille flow

Author(s) -

M.M. Jovanovic

Publication year - 2013

Publication title -

theoretical and applied mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.279

H-Index - 6

eISSN - 2406-0925

pISSN - 1450-5584

DOI - 10.2298/tam1301071j

Subject(s) - hagen–poiseuille equation , chebyshev polynomials , eigenfunction , vorticity , mathematical analysis , eigenvalues and eigenvectors , mathematics , reynolds number , boundary value problem , flow (mathematics) , boundary (topology) , physics , mechanics , geometry , vortex , turbulence , quantum mechanics

We consider numerical simulation of temporal hydrodynamic instability with finite amplitude perturbations in plane incompressible Poiseuille flow. Two dimensional Navier Stokes equations have been used and reduced to vorticity-stream function form. Trigonometric polynomials have been used in homogeneous direction and Chebyshev polynomials in inhomogeneous direction. The problem of boundary conditions for vorticity has been solved by using the method of influence matrices. The Orr-Sommerfeld equation has been solved by Chebyshev polynomials, and linear combination of the obtained eigenfunctions has been optimized with regard to the corresponding eigenvalue. We present here the results of simulation for the perturbations optimized in regard to the least stable eigenvalue for the Reynolds number Re=1000. [Projekat Ministarstva nauke Republike Srbije, br. OI 174001

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