Side-Wall Effect on the Long-Wave Instability in Kolmogorov Flow
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概要
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Linear stability of the Kolomogrov flow U(y), xvlaiclt shows the long-wave instability in trn-botrnded region, is investigated in restricted region { -<x< x< x, 0< y< L'r) trnder two kindsof botrndary conditions: a real viscous bottndary condition and a virtttal stress-free box+ndarycondition. It is shown nttnaerically and azaalytically that a finite-wave instability appears insteadof the long-wave instalcility owing to the confinernent. The nvrraaerical results strggest that thecritical Reynolds ntrunber Rc(Lj and the critical wavetatt?aaber a.(L) tend to those in trnbotrndedregion as R.(L) - R.(cx) c< L , o.(L) - a.(x)(: O) c< L "'. This poxver law is different fromthat for the finite-waventrtnber instability. The effect of the difference of the boundary conditionon the stability is also elucidated. It is shown ntttaaerically that it does not affect the criticalvalues except for srnall systenas (L< 5).
- 社団法人日本物理学会の論文
- 1998-05-15
著者
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MURAKAMI Youichi
Department of Physics, Tohoku University
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Murakami Youichi
Department Of Aerospace Engineering College Of Engineering Osaka Prefecture University
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Fukuta Hiroaki
Department of Mathematical Sciences, College of Engineering, University of Osaka Prefecture
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Fukuta Hiroaki
Department Of Mathematical Sciences College Of Engineering Osaka Prefecture University
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MURAKAMI Youichi
Department of Aerospace Engineering,College of Engineering,Osaka Prefecture University
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FUKUTA Hiroaki
Department of Mathematical Sciences,College of Engineering,Osaka Prefecture University
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