Summary
Laminar flows having self-similar velocity distributions in slender convergent or divergent channels are special cases of the well-known Jeffery-Hamel flows for the double limit that the Reynolds number tends to infinity and the angle of divergence (or convergence) tends to zero such that the product of Reynolds number and the divergence angle, called the slender-channel parameter, is kept finite. It is shown that equivalent self-similar solutions exist also for turbulent flows. If the slender-channel parameter tends to minus infinity, the solutions reduce to the well-known boundary-layer solutions for sink flows.
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© 1994 Springer-Verlag
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Gersten, K., Rocklage, B. (1994). Self-similar solutions for two-dimensional slender-channel flows. In: Schnerr, G.H., Bohning, R., Frank, W., Bühler, K. (eds) Fluid- and Gasdynamics. Acta Mechanica, vol 4. Springer, Vienna. https://doi.org/10.1007/978-3-7091-9310-5_36
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DOI: https://doi.org/10.1007/978-3-7091-9310-5_36
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82495-5
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