Numerical and asymptotic solution of the equations of propagation of hydroelastic vibrations in a curved pipe (Q2714058)
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scientific article; zbMATH DE number 1603320
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical and asymptotic solution of the equations of propagation of hydroelastic vibrations in a curved pipe |
scientific article; zbMATH DE number 1603320 |
Statements
10 June 2001
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transient problem
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underground pipeline
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fluid flow in an elastic tube
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distortion of a pipeline profile
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Numerical and asymptotic solution of the equations of propagation of hydroelastic vibrations in a curved pipe (English)
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A mathematical model for propagation of hydroelastic waves in a pipe is developed using the equations of motion of a shell and a fluid. A method for deriving two-dimensional equations is proposed, and asymptotic formulas for solutions of these equations are obtained. A model problem is solved numerically, and the results are compared with data obtained by other authors. The results obtained make it possible to calculate the propagation of pressure waves for an arbitrary (within the framework of the assumptions made) shape of the axial line of the pipe and can be used in designing systems for diagnostics of pipeline performance.
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