Abstract
The results of a systematic study of self-similar solutions of the Blasius equation are presented for a wide range of both normal and tangential surface injection velocities. Only flows with non-vanishing shear are considered; however, an arbitrary orientation of the injection vector is allowed. It is found that a positive tangential component of injection (downstream vectoring) significantly increases the mass transfer rate required to blow off the boundary layer. For upstream vectoring, a new group of solutions is found over a certain range of the tangential wall velocity wherein the wall shear is doublevalued.
Zusammenfassung
Es wird eine systematische Untersuchung ähnlicher Lösungen der Blasius-Gleichung in einem weiten Bereich der normalen und tangentialen Ausblasgeschwindigkeit vorgelegt, wobei nur Strömungen mit nicht-verschwindender Schubspannung, aber beliebiger Ausblasrichtung betrachtet werden. Man findet, daß eine positive tangentiale (stromabwärts gerichtete) Komponente der Ausblasgeschwindigkeit den Stoff-übergangsstrom beträchtlich erhöht, der zum Wegblasen der Grenzschicht erforderlich ist. Für stromaufwärts gerichtetes Ausblasen wird eine neue Gruppe von Lösungen in einem gewissen Bereich der tangentialen Wandgeschwindigkeit gefunden, innerhalb dessen die Wandschubspannung verdoppelt wird.
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Inger, G.R. Vectored injection into isobaric laminar boundary layer flows. Warme- und Stoffubertragung 5, 201–203 (1972). https://doi.org/10.1007/BF01106915
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DOI: https://doi.org/10.1007/BF01106915