Application of Korteweg's capillary stress tensor in momentum balance for flashing flow

• Autorzy: Badur J. , Banaszkiewicz M.
• Języki publikacji: EN

Abstrakty

EN

This paper presents a modification to the Gizburg-Landau model by means of a new definition of stress tensor for liquid-vapour mixture. The proposed modification takes into account stresses arising in response to density gradients that models the contribution of interfacial areas in the homogeneous Ginzburg-Landau model. The additional capillary stress is derived from the constitutive equation postulated by Korteweg. The modified model has beentested on classical experiments of water-steam flows, such as Moby Dick and BNL. It seems that the inclusion of capillary stresses brings about a significant improvement both in the mass flow rate and pressure distribution predictions. These facts promise the possibility of better description of phenomena occurring in choked two-phase flows.

Słowa kluczowe

EN

Ginsburg-Landau model; Korteweg; liquid-vapour mixture; mass flow; stress tensor; two-phase flows

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 1998
• Tom: Vol. 19, no. 1/2
• Strony: 61--85
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Badur J.

• Institute of Fluid-Flow Machinery, Polish Academy of Sciences

autor

Banaszkiewicz M.

• Institute of Fluid-Flow Machinery, Polish Academy of Sciences

Bibliografia

• [1] BILICKI Z., KESTIN J., PRATT M. M.: A reinterpretation of the results of the Moby Engineering, 112(1990) 212-217.
• [2] BANASZKIEWICZ M., KARDAS D.: Two-phase flows in converging-diverging channels - the BNL experiment, Archives of Thermodynamics, (17)1996, No 3-4, 49-80.
• [3] MIKIELEWICZ J.: Modelling of thermal-fluid-flow processes, Ossolineum, Wrocław 1995, Fluid-Flow Machinery (Maszyny Przepływowe), vol. 17, 1-194
• [4] REOCREUX M.: Contribution a l'etude des Debits Critiques en Ecoulement Diphasique Eau- Vapour, These de Doctorat, Scientifique et Medicale, 1974, Grenoble, English translation. NUREG-tr-0002, 1978.
• [5] ZIMMER G. A., Wu B. J. C., LEONHARDT W. J., ABUAF N., JONES O. C., JR.: Pressure and void distributions in a converging-diverging nozzle with nonequilibrium water vapour generation, 1979, BNL-NUREG-26003.
• [6] LANDAU L. D., LIFSHITZ E. M.: Fluid mechanics, Pergamon Press, 1959.
• [7] KONORSKI A.: Problems of thermodynamics of wet-vapour in turbines, Scientific Notes of IFFM PAS (Zeszyty Naukowe IMP PAN), 1987, 247, 1-246 (in Polish).
• [8] GIBBS J. W.: On the equilibrium of heterogeneous substances, Trans. Conn. Acad. Arts Sci., 1875/1877, 3, 108-248, 343-534.
• [9] BADUR J., BANASZKIEWICZ M.: Capillary properties of flashing flows in phenomenological Ginzburg-Landau model, Scientific Notes of IFFM PAS (Zeszyty Naukowe IMP PAN), 1997, 485/1444, 1-91 (in Polish).
• [10] VAN DER WAALS J. D.: The thermodynamic theory of capillarity under the hypo- thesis of a continuous variation of density (in Dutch), Verhandel. Konink. Akad. Weten. Amsterdam, 1893, 1 No 8, English translation by J.S. Rowlinson, Journal of Statistical Physics, (20)1979, 197-244.
• [11] TOLMAN R. C.: Consideration of the Gibbs theory of surface tension, Journal of Chemical Physics, (16)1948, 758-774.
• [12] KORTEWEG J. D.: Arch. Neerl. Sci. Exactes Nat., 1901, 6(2), 1-24, as reported by C.A. Truesdell & W.Noll, The nonlinear field theories of mechanics, Hand. der Phys., 3/3, 513, ed. S.Flugge, Springer.
• [13] KARDAS D., BILICKI Z.: A set of thermodynamical functions for the matastable region of water and steam, Scientific Notes of IFFM PAS (Zeszyty Naukowe IMP PĂN), 1995, 449/1399, 1-136 (in Polish).
• [14] BLINKOV V. N., JONES O. C., NIGMATULIN B. I.: Nucleation and flashing in nozzles-2. Comparison with experiments using a five-equation model for vapor void development, International Journal of Multiphase Flow, (19)1996, 965-986.