翻訳と辞書 Words near each other ・ Cauchois dialect ・ Cauchois pigeon ・ Cauchon ・ Cauchy (crater) ・ Cauchy boundary condition ・ Cauchy condensation test ・ Cauchy distribution ・ Cauchy elastic material ・ Cauchy formula for repeated integration ・ Cauchy horizon ・ Cauchy index ・ Cauchy matrix ・ Cauchy momentum equation ・ Cauchy Muamba ・ Cauchy net ・ Cauchy number ・ Cauchy principal value ・ Cauchy problem ・ Cauchy process ・ Cauchy product ・ Cauchy sequence ・ Cauchy space ・ Cauchy stress tensor ・ Cauchy surface ・ Cauchy theorem ・ Cauchy's convergence test ・ Cauchy's equation ・ Cauchy's functional equation ・ Cauchy's inequality ・ Cauchy's integral formula Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Cauchy number ： ウィキペディア英語版 Cauchy number The Cauchy number (Ca) is a dimensionless number in continuum mechanics used in the study of compressible flows. It is named after the French mathematician Augustin Louis Cauchy. When the compressibility is important the elastic forces must be considered along with inertial forces for dynamic similarity. Thus, the Cauchy Number is defined as the ratio between inertial and the compressibility force (elastic force) in a flow and can be expressed as :$\backslash mathrm\; =\; \backslash frac$, where : $\backslash rho$ = density of fluid, (SI units: kg/m3) : ''u'' = local flow velocity, (SI units: m/s) : ''K'' = bulk modulus of elasticity, (SI units: Pa) == Relation between Cauchy number and Mach number == For isentropic processes, the Cauchy number may be expressed in terms of Mach number. The isentropic bulk modulus $K\_s\; =\; \backslash gamma\; p$, where $\backslash gamma$ is the specific heat capacity ratio and ''p'' is the fluid pressure. If the fluid obeys the ideal gas law, we have :$K\_s\; =\; \backslash gamma\; p\; =\; \backslash gamma\; \backslash rho\; R\; T\; =\; \backslash ,\backslash rho\; a^2$, where : $a\; =\; \backslash sqrt$ = speed of sound, (SI units: m/s) : ''R'' = characteristic gas constant, (SI units: J/(kg K) ) : ''T'' = temperature, (SI units: K) Substituting ''K'' (''Ks'') in the equation for Ca yields :$\backslash mathrm\; =\; \backslash frac\; =\; \backslash mathrm^2$. Thus, the Cauchy number is square of the Mach number for isentropic flow of a perfect gas. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Cauchy number」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.