TY - JOUR
T1 - Three-dimensional spatial normal modes in compressible boundary layers
AU - Tumin, Anatoli
N1 - Funding Information:
This work was sponsored by the Air Force Office of Scientific Research, USAF under grant No. FA9550-05-101 monitored by Dr J. D. Schmisseur. The views and conclusions contained herein are those of the author and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the Air Force Office of Scientific Research or the US Goverment.
PY - 2007/9/10
Y1 - 2007/9/10
N2 - Three-dimensional spatially growing perturbations in a two-dimensional compressible boundary layer are considered within the scope of linearized Navier - Stokes equations. The Cauchy problem is solved under the assumption of a finite growth rate of the disturbances. It is shown that the solution can be presented as an expansion into a biorthogonal eigenfunction system. The result can be used in a decomposition of flow fields derived from computational studies when pressure, temperature, and all the velocity components, together with some of their derivatives, are available. The method can also be used if partial data are available when a priori information may be utilized in the decomposition algorithm.
AB - Three-dimensional spatially growing perturbations in a two-dimensional compressible boundary layer are considered within the scope of linearized Navier - Stokes equations. The Cauchy problem is solved under the assumption of a finite growth rate of the disturbances. It is shown that the solution can be presented as an expansion into a biorthogonal eigenfunction system. The result can be used in a decomposition of flow fields derived from computational studies when pressure, temperature, and all the velocity components, together with some of their derivatives, are available. The method can also be used if partial data are available when a priori information may be utilized in the decomposition algorithm.
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U2 - 10.1017/S002211200700691X
DO - 10.1017/S002211200700691X
M3 - Article
AN - SCOPUS:37749027750
SN - 0022-1120
VL - 586
SP - 295
EP - 322
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
ER -