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pro vyhledávání: '"Milton Van Dyke"'
Autor:
Milton Van Dyke
Publikováno v:
SIAM Review. 36:415-424
Ludwig Prandtl is properly credited with the development of the boundary-layer idea in viscous flow, which was generalized to the method of matched asymptotic expansions. However, the idea of matching a global and a local approximation was previously
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::698e990ee2491ab176bc43ec8c7758eb
https://doi.org/10.1137/1036097
https://doi.org/10.1137/1036097
Autor:
Milton Van Dyke
Publikováno v:
Asymptotic Modelling in Fluid Mechanics ISBN: 9783540594147
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75fa6bf8bd395d81986977a5ad0b632f
https://doi.org/10.1007/3-540-59414-0_49
https://doi.org/10.1007/3-540-59414-0_49
Autor:
Milton Van Dyke
Publikováno v:
Proceedings of the Ninth GAMM-Conference on Numerical Methods in Fluid Mechanics ISBN: 9783528076351
A path midway between pure analysis and sheer number-crunching is provided by the technique of extending a regular perturbation series to high order by computer, and then analyzing and improving the results. This three-step process has, during the pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f336092c62cd543f69a451803807a72b
https://doi.org/10.1007/978-3-663-13974-4_3
https://doi.org/10.1007/978-3-663-13974-4_3
Autor:
Milton Van Dyke
Publikováno v:
Journal of Fluid Mechanics. 212:289
Morton's series for fully developed laminar flow through a uniformly heated horizontal pipe is simplified by assuming high Prandtl number, and then extended by computer to 31 terms in powers of a parameter that is the product of the Prandtl, Rayleigh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::edb5371040bc566c129ca6da80c5abe9
https://doi.org/10.1017/s0022112090001975
https://doi.org/10.1017/s0022112090001975
Autor:
Milton Van Dyke
Publikováno v:
SIAM Journal on Applied Mathematics. 43:696-702
Plane laminar flow through a meandering channel of constant width is approximated on the basis that the curvature of the centerline is both small and slowly varying. The fourth approximation is calculated for a general shape of centerline. It is used
Externí odkaz:
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https://doi.org/10.1137/0143047
https://doi.org/10.1137/0143047
Autor:
Milton Van Dyke, Anthony J. Guttmann
Publikováno v:
Journal of Fluid Mechanics. 120:451-462
A spherical or cylindrical cavity containing quiescent gas begins to contract at high constant radial speed, driving an axisymmetric shock wave inward to collapse at the centre. We analyse the flow field by expanding the solution in powers of time, a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1a664cebfb9f566c91b494c9ce19497d
https://doi.org/10.1017/s0022112082002845
https://doi.org/10.1017/s0022112082002845
Autor:
Milton Van Dyke
Publikováno v:
Journal of Fluid Mechanics. 86:129-145
Dean's series for steady fully developed laminar flow through a toroidal pipe of small curvature ratio has been extended by computer to 24 terms. Analysis suggests that convergence is limited by a square-root singularity on the negative axis of the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::51f235f555c145293d14b3494f8655c2
https://doi.org/10.1017/s0022112078001032
https://doi.org/10.1017/s0022112078001032
Autor:
Milton Van Dyke
Publikováno v:
SIAM Journal on Applied Mathematics. 28:720-734
In a regular perturbation expansion, the routine labor of calculating higher approximations can often effectively be delegated to a computer. Then dozens or even hundreds of terms can typically be found. These may suffice to permit the structure of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d864766bde09f1a1f7c40ffeafb6631
https://doi.org/10.1137/0128060
https://doi.org/10.1137/0128060
Autor:
Milton Van Dyke
Publikováno v:
Journal of Applied Mathematics and Mechanics. 28:90-102
The method of matched asymptotic expansions, recently developed for treating singularperturbation problems, is applied to the flat unswept lifting wing of high aspect ratio. This yields a simplified equivalent of Prandtl's lifting-line theory, with t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d810904e1f83e97398906ef67b49429
https://doi.org/10.1016/0021-8928(64)90134-0
https://doi.org/10.1016/0021-8928(64)90134-0
Publikováno v:
Zeitschrift für angewandte Mathematik und Physik ZAMP. 20:619-627
Es wird die Grenzschicht an einem abgestumpften Keil mit Hilfe der Gortlerschen Reihe berechnet. Man findet, von der Staupunkt-Grenzschicht ausgehend, eine asymptotische Annaherung an die Grenzschichten von Falkner und Skan; die asymptotische Losung
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::47643292549c3e4495b140d1918e01de
https://doi.org/10.1007/bf01590616
https://doi.org/10.1007/bf01590616