Summary
This paper reports a linear stability analysis of a non-Newtonian annular liquid sheet that is surrounded by nonviscous fluids in relative axial motion to it. It is shown that for a stress free basic flow the dispersion relation giving the absolute and convective instability mechanisms can be immediately obtained from the dispersion relation for a Newtonian sheet by introducing a wavenumber dependent “viscosity”. The stability behavior of the sheet is investigated numerically by a continuation algorithm, by which the solution branches of the dispersion relation, relevant for the stability information, can be traced. The results give a stability picture which covers the whole range of annular sheets from the cylindrical jet to the plane liquid curtain.
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Alleborn, N., Raszillier, N. & Durst, F. Linear stability of non-Newtonian annular liquid sheets. Acta Mechanica 137, 33–42 (1999). https://doi.org/10.1007/BF01313142
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DOI: https://doi.org/10.1007/BF01313142