翻訳と辞書 Words near each other ・ Conjugacy-closed subgroup ・ Conjugal family ・ Conjugal Lewdness ・ Conjugal love ・ Conjugal Love (novel) ・ Conjugal right ・ Conjugal rights ・ Conjugal Rites ・ Conjugal visit ・ Conjugate (algebra) ・ Conjugate acid ・ Conjugate beam method ・ Conjugate closure ・ Conjugate coding ・ Conjugate convective heat transfer ・ Conjugate depth ・ Conjugate diameters ・ Conjugate element (field theory) ・ Conjugate eye movement ・ Conjugate focal plane ・ Conjugate Fourier series ・ Conjugate gaze palsy ・ Conjugate gradient method ・ Conjugate index ・ Conjugate points ・ Conjugate prior ・ Conjugate residual method ・ Conjugate transpose ・ Conjugate vaccine ・ Conjugate variables 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 Conjugate depth ： ウィキペディア英語版 Conjugate depth In fluid dynamics, the conjugate depths refer to the depth (''y''1) upstream and the depth (''y''2) downstream of the hydraulic jump whose momentum fluxes are equal for a given discharge (volume flux) ''q''. The depth upstream of a hydraulic jump is always supercritical. It is important to note that the conjugate depth is different from the alternate depths for flow which are used in energy conservation calculations. ==Mathematical derivation== Beginning with an equal momentum flux ''M'' and discharge ''q'' upstream and downstream of the hydraulic jump: :$M=\backslash frac+\backslash frac=\backslash frac+\backslash frac.$ Rearranging terms gives: :$\backslash frac\backslash left(\backslash frac-\backslash frac\backslash right)=\backslash frac\backslash left(y\_z^2-y\_1^2\backslash right).$ Multiply to get a common denominator on the left-hand side and factor the right-hand side: :$\backslash frac\backslash left(\backslash frac\backslash right)=\backslash frac(y\_2-y\_1)(y\_2+y\_1).$ The (''y''2−''y''1) term cancels out: :$\backslash frac\backslash left(\backslash frac\backslash right)=\backslash frac(y\_2+y\_1)\backslash qquad\backslash textq\_1^2=y\_1^2\; v\_1^2=y\_2^2\; v\_2^2.$ Divide by ''y''12 :$\backslash frac\backslash left(\backslash frac\backslash right)=\backslash frac(y\_2+y\_1)\backslash qquad\backslash textF\; r\_1^2=\backslash frac.$ Thereafter multiply by ''y''2 and expand the right hand side: :$F\; r\_2^2=\backslash frac+\backslash frac.$ Substitute ''x'' for the constant ''y''2/''y''1: :$F\; r\_1^2=\backslash frac+\backslash frac\; \backslash Rightarrow\; 0=\backslash frac+\backslash frac-F\; r\_1^2.$ Solving the quadratic equation and multiplying it by $\backslash tfrac$ gives: :$x=\backslash frac\backslash pm\backslash sqrt\}=-\backslash frac\backslash sqrt.$ Substitute the constant ''y''2/''y''1 back in for ''x'' to get the conjugate depth equation : $\backslash frac=\backslash frac\backslash left(\backslash sqrt\; -\; 1\backslash right).$ 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「Conjugate depth」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.