OCR Text |
Show .:.'.:.~.~:.:.:.:.:.:.:.:..'.:.:.:.~.:.:.:.:..~.:.:.:.:.:.~.:.:.:.:.:..:.:.'.~.:.:.'.:.:..'.:.:T.'''~j.'.'.h.... ·e:~-~::·:::·::··:M ·-~·:···-'o-:~·~:· c·:-.l-- I· f·~J1· ·~e·-·d· :~-.·- ·.·.:.:..:.~.:. R···-· ·"'1· · ·~~·"· ·h: -·' ~:a"-···'p·~,~d · ~.-..'-"s :--::o:~"·'~: n~--::·~:'·::·:N ' --':u:--::m~· -:·-~ b:-'.-. -:e~·-1·r·'-.. .:.:..~.:..=.:..·.·..·.:..~.~..:.:..~.~..~.~..'.:..:.:..:..:..~..'.~..~..:. . ...- ... , ....................... .. _ ..... ,.OJ'.... ........... '" . . ,.... ..... .... . . ___ ..... 1.1' . • .~ ~ . . .. .aJ.......... ... .., • . ~ ........... .. ,., ... __ .............. __ • __ ._._. • Turbulence is Damped by the Work Expended to Transport Mass in a Radially Density-Stratified Fluid Against the Centrifugal Force • The Kinetic Energy of Radial Turbulent Motion: 1 pV(,,' )2 u ~ pVI.2 (dU)2 2 2 dr .. \, a R dU (Prandtl) · dr • Work Done by Turbulence by Moving a Fluid Particle Radially from Layer r to Layer r - I, r-.e 1 dp w2 2 f Fdr = - - - - VR 2 dr r r W2 dp Where F is the Force: - r- Or V xD. |