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Linear Instability Of Laterally Strained Constant Pressure Boundary Layer Flows

Electronic Theses of Indian Institute of Science

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Title Linear Instability Of Laterally Strained Constant Pressure Boundary Layer Flows
 
Creator Tyagi, P K
 
Subject Aerodynamics
Turbulence
Boundary Layers
Air Flow
Lateral Streamline Divergence
Lateral Streamline Convergence
Mean Flow
Linear Instability
Laminar Transition Process
Lateral Strain Rate Effect
Boundary Layer Flows
Laterally Strained Flows
Blasius Flow
 
Description The linear instability of laterally diverging/converging flows is an important aspect towards understanding the laminar-transition process in many viscous flows. In this work the linear instability of constant pressure laterally diverging/converging flow has been investigated.

The laminar velocity field for laterally diverging/converging flows, under the source/sink approximation, has been reduced to two-dimensional flows. This reduction is alternative to the Mangier transformation used earlier. For a constant pressure laterally strained flow, the laminar velocity is found to be governed by the Blasius equation for flow over a flat plate.

The non-parallel linear instability of constant pressure laterally strained flows has been examined. The instability equation is found to be same as that for the Blasius flow. This implies that the stability is same as that for the Blasius flow. A lateral divergence/convergence is shown to alter the Reynolds number from that in a two-dimensional flow. The instability of a laterally converging/diverging flow thus can be obtained from the available results for the Blasius flow by scaling the Reynolds numbers. This leads to the result that while a diverging flow is more unstable than the Blasius flow, a converging flow is more stable. Some additional relevant results are also presented.
 
Publisher Indian Institute of Science
 
Contributor Dey, J
 
Date 2007-03-26T03:47:11Z
2007-03-26T03:47:11Z
2007-03-26T03:47:11Z
2001-09
 
Type Electronic Thesis and Dissertation
 
Format 967714 bytes
application/pdf
 
Identifier http://etd.iisc.ernet.in/handle/2005/265
null
 
Language en
 
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