Mathematical model for unsteady ciliary propulsion (Q1111434)
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scientific article; zbMATH DE number 4074747
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mathematical model for unsteady ciliary propulsion |
scientific article; zbMATH DE number 4074747 |
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Mathematical model for unsteady ciliary propulsion (English)
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1988
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A mathematical model is proposed for the time-dependent ciliary propulsion of a finite micro-organism. The overall effect of cilia is replaced by velocities prescribed as functions of time and polar angle \(\theta\) on a spherical control surface. Expressions for the fluid mechanical forces experienced by the organism, the velocity of free propulsion, are obtained. Situations where the initial conditions generate at large time either a steady flow or an oscillatory flow (superposed about steady state) are deduced as particular cases. The streamline patterns for particular cases are also given.
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time-dependent ciliary propulsion
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finite micro-organism
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0.92606103
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0.92479277
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0.8860505
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0.87153536
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0.8586817
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