FLUID DYNAMICS II
FLUID DYNAMICS II ME 631
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This 2 page Class Notes was uploaded by Vidal Goyette on Friday October 23, 2015. The Class Notes belongs to ME 631 at University of Kentucky taught by Raymond Lebeau in Fall. Since its upload, it has received 22 views. For similar materials see /class/228234/me-631-university-of-kentucky in Mechanical Engineering at University of Kentucky.
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Date Created: 10/23/15
The five basic problems of which you will have To do four will cover A problem covering The basic sTeps for infiniTesimal perTurbaTion analysis basic sTaTe perTurbaTion formequaTions em analysis non dimensionalizaTion BC reducTion of equaTions marginal sTaTe Two problems on geophysical flows Possible Topics include The various geophysical waves including derivaTion of equaTions reducTion To single equaTion BC dispersion relaTion and phasegroup velociTy for graviTy Poincare inTernal Kelvin Lee Rossby waves Boussinesq equaTions Shallow waTer equaTions conservaTion of PV Thermal Wind Taylor Proudman Ekman Layer GeosTrophic balance Quasi GeosTrophy A shorT answer Type quesTion on insTabiliTy Topics like physical explanaTions circulaTionpressure for Taylor InsTabiliTy InsTabiliTy of Parallel flows O S equaTion Rayleigh equaTion Squire39s Rayleigh39s and FjorTofT39s Theorems T S waves general condiTions for insTabiliTy See example on nexT page A problem on TurbulenT flows shear boundary layer pipe mixing lengTh overlap law of wallwake eTc Put the appropriate letters in the following table choosing from the options listed below based on linear infinitesimal disturbance theory options may be used more than once PlanerPoiseuille Bmard Couette Two layer Kelvinr Helmho ltz Taylor Stabilizing force a viscous b stratification c shear d rotation e shear amp viscosity f buoyancy Destabilizing force a viscous b stratification c shear d rotation e shear amp viscosity f buoyancy Nondimensional parameters a Ra b Rs c Ta d Ri e Re f None always stable or unstable Critical values a always unstable b A c 4 d 520 e 1708 f 5780 g always stable Sfuff Thaf won39f be on The final Compressible BL Fini re wave effecfs Infini resimal waves separa re from geophysical waves Derivafion of The r o ra ring vor ficify and r o ra ring NS equa rions Mos r difficul r par rs of Taylor Ins rabili ry
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