Journal of Engineering Mathematics
, Volume 4, Issue 1, pp 5163
First online:
A nonlinear theory of wake development
 S. VasanthaAffiliated withDepartment of Aeronautical Engineering, Indian Institute of Science
 , R. NarasimhaAffiliated withDepartment of Aeronautical Engineering, Indian Institute of Science
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A simple new series, using an expansion of the velocity profile in parabolic cylinder functions, has been developed to describe the nonlinear evolution of a steady, laminar, incompressible wake from a given arbitrary initial profile. The first term in this series is itself found to provide a very satisfactory prediction of the decay of the maximum velocity defect in the wake behind a flat plate or aft of the recirculation zone behind a symmetric blunt body. A detailed analysis, including higher order terms, has been made of the flat plate wake with a Blasius profile at the trailing edge. The same method yields, as a special case, complete results for the development of linearized wakes with arbitrary initial profile under the influence of arbitrary pressure gradients. Finally, for purposes of comparison, a simple approximate solution is obtained using momentum integral methods, and found to predict satisfactorily the decay of the maximum velocity defect.
 Title
 A nonlinear theory of wake development
 Journal

Journal of Engineering Mathematics
Volume 4, Issue 1 , pp 5163
 Cover Date
 197001
 DOI
 10.1007/BF01535179
 Print ISSN
 00220833
 Online ISSN
 15732703
 Publisher
 Kluwer Academic Publishers
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 Authors

 S. Vasantha ^{(1)}
 R. Narasimha ^{(1)}
 Author Affiliations

 1. Department of Aeronautical Engineering, Indian Institute of Science, Bangalore, India