Abstract
In a treatment of the linear stability problem of flow near a plane stagnation point, Brattkus and Davis introduced what they called “generalized Görtler disturbances,” which they recognized as being self-similar. In this work, by the introduction of Mellin transforms, these solutions within restrictions are shown to form the elements of an integral representation. Also, derived are suitable constraints on the secondary vorticity, i.e., the x-component, which buttresses the analyses of earlier authors.
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Acknowledgements
The author wishes to thank Dr. Kirk Brattkus for permission to reproduce two of the figures from his original article [1]. He also thanks his former colleague and co-author, Prof. Michael Foster, who read the manuscript and made pertinent comments.
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This work was carried out solely by Isom Herron.
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Herron, I. Brattkus–Davis modes in the solution to the linear stability of plane stagnation-point flow. J Eng Math 146, 14 (2024). https://doi.org/10.1007/s10665-024-10365-z
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DOI: https://doi.org/10.1007/s10665-024-10365-z