Stability of Poiseuille-type flows in an MHD model of an incompressible polymeric fluid
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15 صفحه اولLow Reynolds Number Stability of Mhd Plane Poiseuille Flow of an Oldroyd Fluid
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...
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We give an explicit construction of approximate eigenfunctions for linearized Euler operator in dimensions two and three with periodic boundary conditions, and an estimate from below for its spectral bound in terms of an appropriate Lyapunov exponent. As a consequence, we prove that in dimension 2 the spectral and growth bounds for the corresponding group are equal. Therefore, the linear hydrod...
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ژورنال
عنوان ژورنال: Sbornik: Mathematics
سال: 2020
ISSN: 1064-5616,1468-4802
DOI: 10.1070/sm9267