Stability lecture 25

Stability lecture 25 - Hydrodynamic Stability Laboratory...

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Hydrodynamic Stability Laboratory Experiments on Stratified Shear Flows 1. Scotti & Corcos. 1972, JFM, Vol. 52 (3), pg. 499. Air Tunnel Generate a controlled instability. 0 45 80 81 5% TF ρ ∆= − ∆=− Broad range of frequencies of vibrating wire operating in Ri # range () () () min 0 0.07 0.76 0.07 0.76 30 Re 70 11 18 ft/sec Profiles for and or were approximately error functions J U Uz z Tz << =− 1
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Adjusted wind tunnel walls to keep J constant. 2
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Visually – K-H type modes found wave attenuation for , waves grew for . 0 0.22 J 0 0.22 J < Measured growth rates and phase speeds. Fairly good agreement for growth rates and phase speeds. About a 10% deviation from theory. 3
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The Taylor Gold Stein Equation () ( ) 22 2 2 0 WF N KW F +− = After integration was reduced to real and imaginary parts: 11 2 1 2 2 0 and 2 0 zz ri z ir z U C C Qdz N F dz CUCQ d z  −− =  −= ∫∫ Leads to Howards Semi-circle Theorem. From the imaginary part of T-G. 2 1 2 0 if 0 then integral 0 i r C U C Qdz C UQdz C Qdz −=≠ = = z z So expand out the real part of
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This note was uploaded on 06/07/2011 for the course EOC 6934 taught by Professor Staff during the Fall '08 term at University of Florida.

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Stability lecture 25 - Hydrodynamic Stability Laboratory...

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