Analytic Solutions of the Vector Burgers' Equation

Steven Nerney ( National Research Council Associate , NASA-Marshall Space Flight Center , Alabama 35812) , Edward J. Schmahl (Astronomy Department , University of Maryland , College Park , MD 20742) , Z. E. Musielak (Department of Mechanical

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Aerospace Engineering Center for Space Plasmas Aeronomic Research University of Alabama at Huntsville Huntsville Alabama 35899)

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classification solv-int nlin.SI

keywords burgersequationanalyticanalyticalapplicationsappliedcoordinatecurvilinear

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The well-known analytical solution of Burgers' equation is extended to curvilinear coordinate systems in three-dimensions by a method which is much simpler and more suitable to practical applications than that previously used. The results obtained are applied to incompressible flow with cylindrical symmetry, and also to the decay of an initially linearly increasing wind.

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Analytic Solutions of the Vector Burgers' Equation

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