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The inviscid compressible Görtler problem in three-dimensional boundary layers

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Abstract

In this paper we investigate numerical solutions for the growth rates of Görtler vortices in a compressible three-dimensional flow in the inviscid limit of a large Görtler number. We look at a range of Mach numbers and find that there are three different types of behaviour for the mode growth-rate, corresponding to whether the flow is incompressible, has a Mach number small enough so that temperature-adjustment-layer modes do not appear in the two-dimensional case, or has a Mach number large enough so that they do. We find that it takes a considerably greater crossflow to destroy the Görtler vortices for moderate Mach numbers than it did in the incompressible case looked at by Bassom and Hall (1991). From this we believe that Görtler vortices may well still be a cause of transition for many practical compressible inviscid three-dimensional flows.

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Authors and Affiliations

  1. Department of Mathematics, University of Manchester, Oxford Road, M13 9PL, Manchester, England

    Andrew Dando

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  1. Andrew Dando
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Communicated by Philip Hall

Support for the author from SERC is acknowledged.

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Dando, A. The inviscid compressible Görtler problem in three-dimensional boundary layers. Theoret. Comput. Fluid Dynamics 3, 253–265 (1992). https://doi.org/10.1007/BF00717643

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