Abstract
We describe the numerical method which we have developed to solve for the first time the fully nonlinear HVBK equations. These equations generalise Landau's two fluid model to take into account the presence of quantised vortices. We apply the method to investigate the flow pattern of helium II between rotating concentric cylinders (Taylor vortex flow) at increasing Reynolds numbers. We compare the results against classical Taylor vortex flow.
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Henderson, K.L., Barenghi, C.F. Numerical methods for two-fluid hydrodynamics: Application to the Taylor vortex flow of superfluid helium II. J Low Temp Phys 98, 351–381 (1995). https://doi.org/10.1007/BF00752274
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DOI: https://doi.org/10.1007/BF00752274