On the Reynolds transport theorem for three phase systems with storage in interfaces

• Autorzy: Skiepko T.
• Języki publikacji: EN

Abstrakty

EN

In the paper, the Reynolds transport theorem (RTT) for three phase systems is developed, in terms associated with a moving control volume. The basic tools applied to the derivation are the generalized transport theorem by Truesdell and Toupin, and generalized surface transport theorem by Aris as well as Slattery. The final results referenced to a generic extensive quantity demonstrate the theorem in the integral instantaneous from. As a further illustration of applicability of the theorem relation developed some specific forms are deduced from such as for multiphase systems in terms of fixed control volume, surface systems and homogeneous spatial systems.

Słowa kluczowe

EN

interface storage; Reynolds transport theorem; three phases

PL

transportowy teoremat Reynoldsa; trójfaza; zasób na granicy rozdziału faz

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 2011
• Tom: Vol. 32, no. 1
• Strony: 21--44
• Opis fizyczny: Bibliogr. 14 poz.,

Twórcy

autor

Skiepko T.

• Bialystok Technical University, Faculty of Mechanics, Wiejska 45C, 15-351 Białystok, Poland,

Bibliografia

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• [3] EULER L.: Principes généraux du mouvement des fluides. Mémoires de l’Académie des Sciences de Berlin, 11, 1757, 274-315.
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• [5] ISHII M., HIBIKI T.: Thermo-Fluid Dynamics of Two-Phase Flow. Springer, New York 2006.
• [6] KAPLAN W.: Advanced Calculus, 2nd edn. Addison-Wesley, Reading 1973.
• [7] KUNDU P.K., COHEN I.M.: Fluid Mechanics, 4th edn. Elsevier, 2008.
• [8] LAMB H.: Hydrodynamics, 6th edn. Cambridge University Press, London 1975.
• [9] MUNSON B.R., YOUNG D.F., OKIIISHI T.H.: Fundamentals of Fluid Mechanics. Wiley&Sons, New York 1990.
• [10] RUTKOWSKI J.: Fundamentals of mass, momentum, energy and entropy balancing. WPW, 1976 (in Polish).
• [11] SLATTERY J.C.: Interfacial Transport Phenomena. Springer-Verlag, New York 1990.
• [12] TRUESDELL C., TOUPIN R.A.: The Classical Field Theories. In: Handbuch der Physik (S. Flügge, ed.) Vol. 3/1, Springer-Verlag, Berlin 1960.
• [13] WHITE F.M.: Fluid Mechanics, 2nd edn. McGraw-Hill, 1986.
• [14] REYNOLDS O.: The Sub-Mechanics of the Universe, Vol. III, Papers on mechanical and physical subjects, Cambridge University Press, 1903.