By Dr.-Ing. C. Pfleiderer (auth.)

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11. Das Ähnlichkeitsgesetz. Reynolds hat zur Frage der Abhängigkeit des Gefällverlustes von den Rohrabmessungen den Satz gefunden, daß die Widerstandszahl l der GI. (6) nur abhängig ist von dem Ausdruck der Wand 1 ). Die Größe c_t-, c; und der Rauhigkeit die dimensionslos ist, nennt man die Rey- noldssche Zahl. Besonders wichtig ist, dl}ß die Art der Flüssigkeit, ob sie tropfbar flüssig oder gasförmig ist, keine Rolle spielt. Dieses Gesetz läßt sich noch in folgender erheblich allgemeinerer Form ausdrücken.

29, Kurve I dem Erweiterungswinkel Jf \ . E = 90 o, II 45 ° 8', II I 24 °, I V ll 0 6'. Man l '\. 2 I sieht, wie stark die Verluste mit dem Er~ I weiterungswinkel abnehmen. ,-f&" """ ~ 1 / ....... , -Ende der Erweiterung des Kanals. A 1so 0 zo 10 tritt der Verlust zum großen Teil Kanallänge . X erst nach dem Ende der Erweiterung Abb. 25. Widerstandszahlen ein. Bei den großen Erweiterungsnach Kröner für die Ströwinkeln zeigten sich manchmal mung im erweiterten Kanal mit anschließender prismastarke Druckschwankungen, die auf tischer Fortsetzung, bezogen ein Hin- und Herpendeln zwischen auf eine Kanallänge gleich zwei Strömungszuständen schließen der Breite des engsten Querließen.

Der Druckausgleich kann deshalb am Ende des Erweiterungsteils auch Abb. 23 . Strömung im erweiterten noch nicht abgeschlossen sein, sondern Kanal. hier ist immer noch der rasch fortschreitende Kern, der von langsamer fließender Flüssigkeit umgeben ist, vorhanden. Die Strömungsverhältnisse des prismatischen Kanals werden also erst weit hinter der Übergangsstelle erreicht werden 2 ). Es besteht ferner die Gefahr, daß in der Nähe der Wand Rückströmen der Flüssigkeit und damit Wirbelbildung eintritt3) (Abb.

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