Effect of magnetic field on buoyancy driven flow between parallel plane vertical walls (Q2783594)
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scientific article; zbMATH DE number 1730588
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Effect of magnetic field on buoyancy driven flow between parallel plane vertical walls |
scientific article; zbMATH DE number 1730588 |
Statements
17 October 2002
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buoyancy driven flow
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magnetohydrodynamics
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similarity solutions
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incompressible electrically conducting fluid
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vertical parallel walls
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transverse magnetic field
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temperature
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stream function
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linear perturbation equations
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0.91393286
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0.87125456
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0.8677351
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0.8670115
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0.86580396
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Effect of magnetic field on buoyancy driven flow between parallel plane vertical walls (English)
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An incompressible electrically conducting fluid is confined between two vertical parallel walls \(y=\pm h\) on which the temperature \(T\) is maintained as a steady linear function of \(x\). The flow takes place under the influence of a transverse magnetic field. Similarity solutions are sought of the usual magnetohydrodynamic equations: typically, the temperature is assumed to be of the form \(T=xg(y,t)\), where \(g(y,t)\) has the perturbation form \(g(y,t)= G(y)+e^{st} \xi(y)\), where \(s\) is a parameter which may be complex. Similar expansions are assumed for stream function. This leads to a set of linear perturbation equations which are solved. The results are compared with numerical solutions.
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