Low Reynolds number stability of MHD plane Poiseuille flow of an Oldroyd fluid (Q1578343)
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scientific article; zbMATH DE number 1496712
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Low Reynolds number stability of MHD plane Poiseuille flow of an Oldroyd fluid |
scientific article; zbMATH DE number 1496712 |
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Low Reynolds number stability of MHD plane Poiseuille flow of an Oldroyd fluid (English)
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27 August 2000
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Summary: We investigate numerically at low Reynolds number the linear stability of plane Poiseuille flow of conducting Oldroyd fluid in the presence of a transverse magnetic field. 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 the magnetic field has a stabilizing effect on the flow field. But no instabilities are found.
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spectral tau method
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low Reynolds number
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linear stability
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plane Poiseuille flow
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Oldroyd fluid
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transverse magnetic field
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Chebyshev polynomials
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Orr-Sommerfeld equation
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viscoelastic parameters
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