The construction of optimum three-dimensional shapes within the framework of a model of local interaction (Q2761284)
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scientific article; zbMATH DE number 1683339
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The construction of optimum three-dimensional shapes within the framework of a model of local interaction |
scientific article; zbMATH DE number 1683339 |
Statements
18 December 2001
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penetration into medium
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optimal body form
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optimum three-dimensional shapes
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model of local interaction
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minimal drag
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non-uniqueness
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circular cone
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The construction of optimum three-dimensional shapes within the framework of a model of local interaction (English)
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For body motion with a constant velocity in a medium, the author constructs a spatial body with minimal drag under quite general assumptions on body thickness. It is shown that for prescribed area of the body base and its maximal length, the problem possesses an infinite set of solutions. Besides, all optimal bodies are combinations of a circular cone and planes tangential to it, and their drags are equal.
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