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Mach number

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MathematicsNumber Theory

of the gas cannot be neglected. Mach's number $M=v/a$ is the ratio of the velocity of the gas flow and the velocity of sound at the same point of the flow (or the ratio of the velocity of a body in the gas and the velocity of sound in this medium). The number was called thus to honour E. Mach.

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One of the basic criteria of aerodynamic similarity when the viscosity of the gas cannot be neglected. Mach's number $M=v/a$ is the ratio of the velocity of the gas flow and the velocity of sound at the same point of the flow (or the ratio of the velocity of a body in the gas and the velocity of sound in this medium). The number was called thus to honour E. Mach.

References

[a1]	L. Howarth (ed.) , Modern development in fluid dynamics. High speed flow , 1–2 , Oxford Univ. Press (1953)

How to Cite This Entry:
Mach number. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Mach_number&oldid=53757

This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article

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Number TheoryMathematics / Number Theorymethod: field_fallback - confidence: 0.58suggested

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Mach numberencyclopedia_of_mathematics

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Viscosityoutgoing citation Knudsen numberincoming citation Similarity theoryincoming citation Combustion theoryincoming citation

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discussesarticle:eom--mach-number--60ac7e5b50 -> concept:mach-numberconfidence: 1.00 - provenance: encyclopedia_of_mathematicsconfirmed

citesconcept:mach-number -> concept:viscosityconfidence: 1.00 - provenance: article link extractionreviewed

citesconcept:knudsen-number -> concept:mach-numberconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:similarity-theory -> concept:mach-numberconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:combustion-theory -> concept:mach-numberconfidence: 1.00 - provenance: article backlink extractionreviewed

subcategory_ofconcept:mach-number -> topic:number-theoryconfidence: 0.58 - provenance: field_fallback classificationsuggested

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