Linear stability analysis of multilayer plane Poiseuille flow
نویسندگان
چکیده
منابع مشابه
Transient Start-up of Plane Poiseuille Flow
INTRODUCTION This article investigates various improvements to two existing finite volume (fv) algorithms, specifically constructed to solve transient viscoelastic flow problems. Here, we consider model problems to identify fundamental algorithmic advances. Two alternative fv-approaches are advocated and contrasted for their properties, a hybrid cell-vertex scheme and a cell-centred staggered-g...
متن کاملBurnett description for plane Poiseuille flow.
Two recent works have shown that at small Knudsen number (K) the pressure and temperature profiles in plane Poiseuille flow exhibit a different qualitative behavior from the profiles obtained by the Navier-Stokes equations. Tij and Santos [J. Stat. Phys. 76, 1399 (1994)] used the Bhatnagar-Gross-Kook model to show that the temperature profile is bimodal and the pressure profile is nonconstant. ...
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The linear stability of plane Poiseuille flow at low Reynolds number of a conducting Oldroyd fluid in the presence of a transverse magnetic field has been investigated numerically. Spectral tau method with expansions in Chebyshev polynomials is used to solve the Orr-Sommerfeld equation. It is found that viscoelastic parameters have destabilizing effect and magnetic field has a stabilizing effec...
متن کاملStability of Plane Poiseuille Flow to Periodic Disturbances of Finite Amplitude, II.
The stability of plane Poiseuille flow to periodic disturbances of finite amplitude was investigated by expanding each harmonic of the solution in terms of the Orr-Sommerfeld eigenfunctions with coefficients which are functions of time. The system of nonlinear ordinary differential equations for the coefficients was solved, and the number of harmonics N was extended from 3, of the previous inve...
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Plane Couette ow perturbed by a spanwise oriented ribbon, similar to a con guration investigated experimentally at CEA-Saclay, is investigated numerically using a spectral-element code. 2D steady states are computed for the perturbed con guration; these di er from the unperturbed ows mainly by a region of counter-circulation surrounding the ribbon. The 2D steady ow loses stability to 3D eigenmo...
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ژورنال
عنوان ژورنال: Physics of Fluids A: Fluid Dynamics
سال: 1990
ISSN: 0899-8213
DOI: 10.1063/1.857753