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An iterative procedure for the oscillatory laminar boundary layer
Author(s) -
Newton S. G.
Publication year - 1973
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620050314
Subject(s) - laminar flow , mathematics , boundary layer , ordinary differential equation , mathematical analysis , convergence (economics) , iterative method , relaxation (psychology) , limit (mathematics) , operator (biology) , range (aeronautics) , simple (philosophy) , flow (mathematics) , differential equation , mechanics , mathematical optimization , physics , geometry , philosophy , materials science , repressor , economic growth , chemistry , composite material , psychology , social psychology , biochemistry , epistemology , transcription factor , economics , gene
The problem of small sinusoidal oscillations imposed on a stagnation point flow is considered. This leads to an ordinary differential equation which, in the high frequency limit, has a simple solution. An iterative method (involving a linear integral operator) is developed, starting from this basic solution. This scheme, performed numerically, is ‘under‐relaxed’ and this renders it applicable to as wide a frequency range as possible: convergence criteria are discussed in terms of the relaxation parameter. The streamwise velocity profiles computed are compared with those given by an independent method.