Einführung in Die Theoretische Gasdynamik

Name: Einführung in Die Theoretische Gasdynamik
Brand: Springer
SKU: 9783642927911
Price: 3432.0 INR
Availability: InStock

by Robert Sauer

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ISBN13: 9783642927911
Binding: Paperback
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: January 21, 2012
Pages: 214
Original Price: EUR 46.72
Language: German
Edition: 3. Aufl. 1960.
Item Weight: 332 grams
BISAC Subject(s): Chemistry / General

About The Book

Wenn die Stromungsgeschwindigkeit eines Gases klein ist im Ver- gleich zur Schallgeschwindigkeit, kann man das Gas als inkompressibel betrachten. Die Aerodynamik fallt bei dieser Idealisierung, welche die mathematische Behandlung wesentlich vereinfacht, mit der Hydro- dynamik der Fliissigkeiten zusammen. Wir werden sehen, daB der durch Vernachlassigung der Kompressibilitat des Gases in der Kontinuitats- gleichung hervorgerufene Fehler kleiner als 1 % bleibt, wenn die Stro- mungsgeschwindigkeit etwa 1/7 der Schallgeschwindigkeit des Gases nicht iibersteigt. Bei groBeren Geschwindigkeiten, d. h. bei Zunahme des Verhaltnisses der Stromungsgeschwindigkeit zur Schallgeschwindig- keit, wird der EinfluB der Kompressibilitat auf den Stromlinienverlauf immer starker und nach Dberschreitung der Schallgeschwindigkeit treten vollig neue Erscheinungen auf. Storungen breiten sich dann nicht mehr in das ganze Stromungsfeld aus, sondern nur in ein sich stromabwartB erstreckendes Teilgebiet, und zu den stetigen Geschwindigkeits-, Dichte-, Druckanderungen usw. kommen gewisse unstetige Zustandsanderungen, die sogenannten "VerdichtungsstoBe" hinzu. Der mathematische Grund fUr dieses wesentlich verschiedene Verhalten der "UnterschalI"- und "Dberschallstromungen" liegt darin, daB die Differentialgleichungen im Unterschallgebiet ebenso wie bei den inkompressiblen Medien yom ellip- tischen, im Dberschallgebiet dagegen yom hyperbolischen Typus sind. 1m vorliegenden Buch werden fUr die Aerodynamik der "kompres- siblen Stromungen", die man kurz als "Gasdynamik" zu bezeichnen pflegt, die grundlegenden theoretischen Zusammenhange behandelt und die fiir die Praxis wichtigsten mathematischen Theorien und numerischen Berechnungsmethoden entwickelt. Zur Vereinfachung werden hierbei einige einBchrankende Voraussetzungen getroffen, insbesondere: a) Vernachlassigung der Reibung und Warmeleitfahigkeit des stro- menden Gases, b) Vernachlassigung der Schwerkraft und sonstiger auBerer Krafte.

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