The influence of boundary layer growth on the flow stability of the Blasius boundary layer is analysed on a rational, large Reynolds number, basis, for small disturbances of fixed frequency. The parallel-flow solution forms the leading term and the non-parallel flow effects emerge in a consistent fashion from the asymptotic expansions. Compared with previous, successive approximation, procedures, the theoretical neutral curve obtained here is much more affected by the non-parallel effects and consequently shows somewhat improved agreement with experimental observations, even though the previous and the present approaches (both of which calculate only a finite number of terms) would be identical if taken to infinitely many terms.
%0 Journal Article
%1 smith79:PRSLA-366-91
%A Smith, F. T.
%D 1979
%J Proceedings of the Royal Society A
%K 76d10-boundary-layer 76e09-stability-and-instability-of-nonparallel-flows usyd
%N 1724
%P 91--109
%R 10.1098/rspa.1979.0041
%T On the Non-Parallel Flow Stability of the Blasius Boundary Layer
%U http://dx.doi.org/10.1098/rspa.1979.0041
%V 366
%X The influence of boundary layer growth on the flow stability of the Blasius boundary layer is analysed on a rational, large Reynolds number, basis, for small disturbances of fixed frequency. The parallel-flow solution forms the leading term and the non-parallel flow effects emerge in a consistent fashion from the asymptotic expansions. Compared with previous, successive approximation, procedures, the theoretical neutral curve obtained here is much more affected by the non-parallel effects and consequently shows somewhat improved agreement with experimental observations, even though the previous and the present approaches (both of which calculate only a finite number of terms) would be identical if taken to infinitely many terms.
@article{smith79:PRSLA-366-91,
abstract = {{The influence of boundary layer growth on the flow stability of the Blasius boundary layer is analysed on a rational, large Reynolds number, basis, for small disturbances of fixed frequency. The parallel-flow solution forms the leading term and the non-parallel flow effects emerge in a consistent fashion from the asymptotic expansions. Compared with previous, successive approximation, procedures, the theoretical neutral curve obtained here is much more affected by the non-parallel effects and consequently shows somewhat improved agreement with experimental observations, even though the previous and the present approaches (both of which calculate only a finite number of terms) would be identical if taken to infinitely many terms.}},
added-at = {2019-03-01T00:11:50.000+0100},
author = {Smith, F. T.},
biburl = {https://www.bibsonomy.org/bibtex/233062c2f87140a8a45791b0fac41fdb6/gdmcbain},
citeulike-article-id = {2442573},
citeulike-linkout-0 = {http://dx.doi.org/10.1098/rspa.1979.0041},
doi = {10.1098/rspa.1979.0041},
interhash = {0674a88228ac272fff2b8e257d749d23},
intrahash = {33062c2f87140a8a45791b0fac41fdb6},
journal = {Proceedings of the Royal Society A},
keywords = {76d10-boundary-layer 76e09-stability-and-instability-of-nonparallel-flows usyd},
number = 1724,
pages = {91--109},
posted-at = {2008-02-28 10:11:24},
priority = {2},
timestamp = {2019-03-01T00:11:50.000+0100},
title = {On the Non-Parallel Flow Stability of the {Blasius} Boundary Layer},
url = {http://dx.doi.org/10.1098/rspa.1979.0041},
volume = 366,
year = 1979
}