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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Prandtl condition ： ウィキペディア英語版 Prandtl condition The Prandtl condition was suggested by the German physicist Ludwig Prandtl to identify possible boundary layer separation points of incompressible flows. ==Prandtl condition-in Normal Shock== In the case of normal shock, flow is assumed to be in a steady state and thickness of shock is very small. It is further assumed that there is no friction or heat loss at the shock (because heat transfer is negligible because it occurs on a relatively small surface).It is customary in this field to denote x as the upstream and y as the downstream condition. Since the mass flow rate from the two sides of the shock are constant, the mass balance becomes, $\backslash rho\_.U\_=\backslash rho\_.U\_$ As there is no external force applied , momentum is conserved .Which give rises to the equation $P\_-P\_=\backslash rho\_.U\_^2-\backslash rho\_.U^2$ Because heat flow is negligible, the process can be treated as adiabatic. So the energy equation will be $C\_.T\_+\backslash frac=C\_.T\_+\backslash frac$ From the equation of state for perfect gas, P=ρRT As the temperature from both sides of the shock wave is discontinues, the speed of sound is different in these adjoining medium. So it is convenient to define the star mach number that will be independent of the specific mach number. From star condition, the speed of sound at the critical condition can also be a good reference velocity. Speed of sound at that temperature is , $c^$ * = \sqrt And additional Mach number which is independent of specific mach number is, $M^$ * = \frac =\frac Since energy remains constant across the shock, $\backslash frac+\backslash frac\; =\; \backslash frac+\backslash frac\; =\backslash frac$ dividing mass equation by momentum equation we will get $\backslash frac+U\_=\backslash frac+U\_$ From above equations , $\backslash frac\}"\; TITLE="\backslash frac-\backslash frac\; )+U\_\; =\; \backslash frac\}"\; TITLE="\backslash frac-\backslash frac\; )+U\_$ it will give rises to $U\_.U\_\; =\; 1$ ''Which is called the prandtl condition in normal shock'' 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「Prandtl condition」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.