Obtaining the exact solutions of the Navier-Stokes equations (Q761294)
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scientific article; zbMATH DE number 3885506
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Obtaining the exact solutions of the Navier-Stokes equations |
scientific article; zbMATH DE number 3885506 |
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Obtaining the exact solutions of the Navier-Stokes equations (English)
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1985
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The Navier-Stokes equations of two-dimensional steady, incompressible flow are studied using the unknown streamlines as one of the coordinates. The solution of the equations for in-plane motion is obtained, which corresponds to the well known solution of Couette flow, radial flow, spiral flow and the flow between two concentric cylinders. Possibilities of obtaining other solutions by this approach are also discussed.
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implicit overdetermined equation
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integration of compatibility conditions
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two-dimensional steady, incompressible flow
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Couette flow
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radial flow
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spiral flow
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flow between two concentric cylinders
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