Publication: Transient Disturbance Growth in a Corrugated Channel

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Title	Transient Disturbance Growth in a Corrugated Channel
Authors/Editors*	J.Szumbarski and J.M.Floryan
Where published*	J.Fluid Mechanics
How published*	Journal
Year*	2006
Volume	568
Number
Pages	243-272
Publisher
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Abstract	Transient growth of small disturbances may lead to the initiation of the laminar-turbulent transition process. Such growth in a two-dimensional laminar flow in a channel with corrugated wall is analyzed. The corrugation has wavy form that is completely characterized by its wave number and amplitude. The maximum possible growth and the form of the initial disturbance that leads to such growth have been identified for each form of the corrugation. The form that leads to the largest growth for the given corrugation amplitude, i.e., the optimal corrugation, has been found. It is shown that the corrugation acts as an amplifier for disturbances that are approximately optimal in the smooth channel case but has little effect on the others. The interplay between the modal (asymptotic) instability and the transient growth, and the use of the variable corrugation for modulation of the growth are discussed.