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Exact solutions to the modified 2D Burgers vortex equation: a general result for the unsteady case

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Abstract

Exact solutions to the unsteady modified 2D Burgers vortex equation are obtained for arbitrary forms of the flow parameter γ(t) via Fourier analysis. The result extends the available literature, where only very specific forms of the flow parameter γ(t) have been considered in the unsteady flow cases. One strength of the method is that we need not assume separable solutions.

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Authors and Affiliations

  1. Department of Mathematics, University of Central Florida, P. O. Box 161364, Orlando, FL, 32816-1364, USA

    Robert A. Van Gorder

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  1. Robert A. Van Gorder
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Correspondence to Robert A. Van Gorder.

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Van Gorder, R.A. Exact solutions to the modified 2D Burgers vortex equation: a general result for the unsteady case. Acta Mech 216, 345–350 (2011). https://doi.org/10.1007/s00707-010-0360-3

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  • DOI: https://doi.org/10.1007/s00707-010-0360-3

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