Keller, Herbert B. and Cebeci, Tuncer (1972) An inverse problem in boundary-layer flows: Numerical determination of pressure gradient for a given wall shear. Journal of Computational Physics, 10 (1). pp. 151-161. ISSN 0021-9991. doi:10.1016/0021-9991(72)90096-4. https://resolver.caltech.edu/CaltechAUTHORS:20170801-160535948
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Abstract
The problem of determining a pressure gradient distribution that will produce a specified shear force on a body surface in boundary-layer flows is considered. This leads to an “overdetermined” boundary value problem for a partial differential equation containing an unknown coefficient. A numerical procedure for determining the coefficient is given along with several worked out examples including both similar and nonsimilar flows. The method essentially treats the unknown coefficient as an eigenvalue which is computed using Newton's method. This in turn employes a very accurate and efficient finite difference scheme for computing standard boundary-layer flows. Richardson extrapolation is applicable but only modest improvement was obtained in the present examples (for reasons that are explained).
| Item Type: | Article | |||||||||
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| Additional Information: | © 1972 Published by Elsevier Inc. Received 23 November 1971. This work was partially supported by the U. S. Army Research Office, Durham under Contract DAHC 04-68-007 and by the National Science Foundation Grant No. GK-30981. | |||||||||
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| Issue or Number: | 1 | |||||||||
| DOI: | 10.1016/0021-9991(72)90096-4 | |||||||||
| Record Number: | CaltechAUTHORS:20170801-160535948 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170801-160535948 | |||||||||
| Official Citation: | Herbert B Keller, Tuncer Cebeci, An inverse problem in boundary-layer flows: Numerical determination of pressure gradient for a given wall shear, Journal of Computational Physics, Volume 10, Issue 1, 1972, Pages 151-161, ISSN 0021-9991, http://dx.doi.org/10.1016/0021-9991(72)90096-4. (http://www.sciencedirect.com/science/article/pii/0021999172900964) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 79720 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 01 Aug 2017 23:08 | |||||||||
| Last Modified: | 15 Nov 2021 17:50 |
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