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Temperaturausgleich in Einfachen Körpern: Ebene Platte, Zylinder, Kugel, Halbunendlicher Körper

Temperaturausgleich in Einfachen Körpern: Ebene Platte, Zylinder, Kugel, Halbunendlicher Körper

          
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About the Book

Dieses Buch enthält vollständig neu berechnete Tafeln, Abbildungen und Zahlentafeln der nichtstationären eindimensionalen Wärmeleitung ohne innere Wärmequellen in der ebenen Platte, dem Zylinder, der Kugel und dem halbunendlichen Körper. Die anfängliche Temperaturverteilung ist gleichförmig angenommen, an den Oberflächen wird Wärme bei konstanter Umgebungstemperatur und konstantem Wärmeübergangskoeffizienten übertragen. Auch die Stoffgrößen sollen konstant sein. Diese Lösungen der FouRIERsehen Differentialgleichung lassen sich überwiegend nur als unendliche Reihen darstellen, deren numerische Berechnung mühsam ist, wenn man von Hand rechnen muß. Da die bisher bekannt gewordenen Ergebnisse untereinander nicht völlig übereinstimmten, schien es zweckmäßig, diese Grundprobleme der nicht- stationären Wärmeleitung erneut mittels elektronischer Rechenautomaten zu berechnen. Die Ergebnisse dieser Berechnung für die Temperaturen der Oberflächen und der Mitten sowie der übertragenen Wärmemengen sind in diesem Buche unter Benützung der für das betreffende Problem maßgebenden Kenngrößen zusammengestellt. In gewissen Bereichen der Kenngrößen genügt es oft, nur den ersten Term der Reihen zu verwenden, so daß man geschlossene, bequem zu handhabende Ausdrücke erhält. Aber es war bisher nicht genau bekannt, welcher Fehler dadurch entsteht. Diese Fehler- berechnung ist in den nachfolgenden Abbildungen wiedergegeben. Es zeigt sich, daß der Bereich kleiner Fehler, die in vielen Fällen in Kauf genommen werden können, weiter reicht als bisher angenommen. Das dürfte gerade für die Berechnung von Aufheiz-und Abkühlvorgängen in der Praxis von Bedeutung sein. Die notwendigen Konstanten sind ebenfalls in diesem Buche angegeben.


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Product Details
  • ISBN-13: 9783540031369
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Edition: 1964 ed.
  • Language: German
  • Returnable: Y
  • Spine Width: 4 mm
  • Weight: 190 gr
  • ISBN-10: 3540031367
  • Publisher Date: 01 Jan 1964
  • Binding: Paperback
  • Height: 297 mm
  • No of Pages: 60
  • Series Title: German
  • Sub Title: Ebene Platte, Zylinder, Kugel, Halbunendlicher Körper
  • Width: 210 mm


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