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2022-12-15T03:36:49Z
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Linear Stability Analysis for Channel Flow with Two Ribs Attached to One Wall
リブ付き平行平板間流れの線形安定性解析
リブ付き平行平板間流れの線形安定性解析
松原, 幸治
44938
中部, 主敬
44939
鈴木, 健二郎
44940
Unsteady Flow
Forced Convection
Transition
Numerical Analysis
Linear Stability
Low Reynolds Number
Linear stability analysis was performed for channel flow with two ribs attached to one wall. Effects of perturbations with an infinitely small amplitude on a fundamental steady flow in the channel were numerically investigated. The fundamental flow corresponds to one of the steady solutions of the Navier-Stokes equations. Time-asymptotic solutions of the perturbation equations reach the least stable mode of the channel flow. Growth or decay of the perturbations was supposed to occur everywhere in the flow with a constant amplification factor, since the logarithmic value of the maximum transverse perturbation velocity of the least stable mode changed linearly with time at all monitoring locations in the channel. In addition, a direct numerical calculation was performed using the two-dimensional Navier-Stokes equations to investigate the characteristics of nonlinear stability, the results of which showed a similar growth pattern to those derived from the perturbation equations. The flow instability with an increase of the Reynolds number was found to depend on the value of the source functioning term of the perturbation vorticity equation derived from the perturbation equations.
journal article
日本機械学会
1996-07
application/pdf
日本機械学会論文集. B編
599
62
2782
2789
日本機械学会論文集. B編
AN00187441
03875016
https://niigata-u.repo.nii.ac.jp/record/3722/files/9_0048.pdf
jpn
http://ci.nii.ac.jp/naid/110002395001
日本機械学会
本文データは学会の許諾に基づくCiNiiからの複製である