Spatiotemporal growing wave fronts in spatially stable boundary layers
Spatiotemporal growing wave fronts in spatially stable boundary layers
In fluid dynamical systems, it is not known a priori whether disturbances grow either in space or in time or as spatiotemporal structures. For a zero pressure gradient boundary layer (also known as the Blasius boundary layer), it is customary to treat it as a spatial problem, and some limited comparison between prediction and laboratory experiments exist. In the present work, the two-dimensional receptivity problem of a Blasius boundary layer excited by a localized harmonic source is investigated under the general spatiotemporal framework, by using the Bromwich contour integral method. While this approach is seen to be equivalent to the spatial study for unstable systems, here we show for the first time how spatially stable systems show spatiotemporally growing wave fronts.
224504
Sengupta, T.
ba066719-1e27-4fc0-b6f7-f9c31c267631
Kameswara Rao, A.
e5663e1e-5bed-426d-83df-1a5d9329d8c4
Venkatasubbaiah, K.
5117414c-402d-478b-be89-850356edf419
8 June 2006
Sengupta, T.
ba066719-1e27-4fc0-b6f7-f9c31c267631
Kameswara Rao, A.
e5663e1e-5bed-426d-83df-1a5d9329d8c4
Venkatasubbaiah, K.
5117414c-402d-478b-be89-850356edf419
Sengupta, T., Kameswara Rao, A. and Venkatasubbaiah, K.
(2006)
Spatiotemporal growing wave fronts in spatially stable boundary layers.
Physical Review Letters, 96 (22), .
(doi:10.1103/PhysRevLett.96.224504).
Abstract
In fluid dynamical systems, it is not known a priori whether disturbances grow either in space or in time or as spatiotemporal structures. For a zero pressure gradient boundary layer (also known as the Blasius boundary layer), it is customary to treat it as a spatial problem, and some limited comparison between prediction and laboratory experiments exist. In the present work, the two-dimensional receptivity problem of a Blasius boundary layer excited by a localized harmonic source is investigated under the general spatiotemporal framework, by using the Bromwich contour integral method. While this approach is seen to be equivalent to the spatial study for unstable systems, here we show for the first time how spatially stable systems show spatiotemporally growing wave fronts.
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Published date: 8 June 2006
Organisations:
Aerodynamics & Flight Mechanics Group
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Local EPrints ID: 363622
URI: http://eprints.soton.ac.uk/id/eprint/363622
PURE UUID: 5ad0e8f1-f03a-410e-a4c5-98866578df07
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Date deposited: 27 Mar 2014 16:34
Last modified: 14 Mar 2024 16:26
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Author:
T. Sengupta
Author:
A. Kameswara Rao
Author:
K. Venkatasubbaiah
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