Acoustic wave prediction in flowing steam-water two-phase mixture
Tóm tắt
The transient two-fluid model has been used to develop a general relation for acoustic waves. The analysis is valid in principle over the whole void fraction region. Flow pattern transitions from one flow regime to the other are assumed to occur at certain void fractions. Different correlations are used to calculate the interfacial area and interfacial drag force per unit mixture volume for bubbly flow, slug flow and annular flow respectively. The vapour-liquid interphase heat flux is derived from the one dimensional Fourier heat conduction equation to evaluate the interphase evaporation or condensation rate. Based on the present theory, a program has been carried out. Calculations are performed for pressure from 0.07 MPa to 16.0 MPa, void fractions from 0.0 to 1.0. The predicted sound speeds are compared with some experimental data for low pressures, good agreement has been achieved between sound speed predictions and experimental data.
Tài liệu tham khảo
F.J. moody, “A pressure Pulse Model for Two-Phase Critical Flow and Sonic Velocity,”J. of Heat Transfer, Trans. ASME, pp. 371–384, (1969).
D.F. Darcy, “On Acoustic Propagation and Critical Mass Flux in Two-Phase Flow,”J. of Heat Transfer, Trans. ASME, pp. 413–421, (1971).
citation_journal_title=Int. J. Heat Mass Transfer; citation_title=The Effects of Nonequilibrium Heat, Mass and Momentum Transfer on Two-phase Sound Speed; citation_author=R.C. Mecredy, L.J. Hamilton; citation_volume=15; citation_publication_date=1972; citation_pages=61-72; citation_doi=10.1016/0017-9310(72)90166-4; citation_id=CR3
citation_journal_title=J. of Heat Transfer, Trans. ASME; citation_title=An Analysis of Wave Propagation in Bubbly Two-Component, Two-phase Flow; citation_author=L.Y. Cheng, D.A. Drew, R.T. Lahey; citation_volume=107; citation_publication_date=1985; citation_pages=402-408; citation_id=CR4
citation_journal_title=J. of Heat Transfer, Trans. ASME; citation_title=An Investigation of the Propagation of Pressure Perturbations in Bubbly Air/Water Flows; citation_author=A.E. Ruggles, R.T. Lahey, D. A. Drew, H.A. Scarton; citation_volume=110; citation_publication_date=1988; citation_pages=494-499; citation_id=CR5
citation_journal_title=J. of Heat Transfer, Trans. ASME; citation_title=The Relationship between Standing Waves, Pressure Pulse Propagation, and Critical Flow Rate in Two-Phase Mixtures; citation_author=A.E. Ruggles, R.T. Lahey, D.A. Drew, H.A. Scarton; citation_volume=111; citation_publication_date=1989; citation_pages=467-473; citation_doi=10.1115/1.3250700; citation_id=CR6
citation_journal_title=Nuclear Technology; citation_title=A Model for Sound Velocity in a Two-Phase Air-Water Bubbly Flow; citation_author=NienNien Chung, Weikeng Liu, BauShei Pei; citation_volume=99; citation_publication_date=1992; citation_pages=80-89; citation_id=CR7
citation_journal_title=Nuclear Technology; citation_title=A Model for Sound Velocity and its Relationship with Interfacial Area in a Steam-Water, Two-Phase Bubbly Flow; citation_author=NienNien Chung, Weikeng Liu, BauShei Pei; citation_volume=99; citation_publication_date=1992; citation_pages=258-267; citation_id=CR8
citation_journal_title=I & EC Process and Development; citation_title=Effect of Slip and Phase Change on Sound Velocity in Steam-Water Mixtures and the Relation to Critical Flow; citation_author=Victor J. Dejon, Josephc Firey; citation_volume=7; citation_issue=3; citation_publication_date=1968; citation_pages=455-463; citation_id=CR9
citation_journal_title=I & EC Process and Development; citation_title=Additional Velocity of Sound Measurements in Wet Steam; citation_author=W.G. England, J.G. Firey, D.E. Trapp; citation_volume=5; citation_issue=2; citation_publication_date=1966; citation_pages=199-202; citation_id=CR10
citation_journal_title=Nuclear Science & Engineering; citation_title=Two-Phase Pressure-Drop Across Abrupt Area Changes in Oscillatory Flow; citation_author=J. Weisman, T. Ake, R. Knott; citation_volume=61; citation_publication_date=1966; citation_pages=297-309; citation_id=CR11
citation_title=Thermodynamic Derivations for Water and Steam; citation_publication_date=1987; citation_id=CR12; citation_author=null Rivkin; citation_author=null Aleksandrov; citation_author=null Kremenevskaya; citation_publisher=McGraw-Hill
citation_title=One-Dimensional Two-Phase Flow; citation_publication_date=1969; citation_id=CR13; citation_author=null Wallis; citation_publisher=McGraw-Hill
P. Griffith, G. A. Synder, “The Bubbly-Slug Transition in a High Velocity Two-Phase Flow,” MIT Report 5003-29, (1964).
citation_journal_title=J. of Heat Transfer, Trans. ASME; citation_title=Two-phase Slug Flow; citation_author=P. Griffith, G.B. Wallis; citation_volume=83; citation_publication_date=1961; citation_pages=307-307; citation_id=CR15
citation_journal_title=Int. J. Multiphase Flow; citation_title=Acoustic Wave Propagation in a Flowing Liquid-Vapor Mixtures; citation_author=K.H. Ardon, R.B. Duffey; citation_volume=4; citation_publication_date=1978; citation_pages=303-322; citation_doi=10.1016/0301-9322(78)90004-6; citation_id=CR16
R.E. Henry, M.A. Grolmes, H.K. Fauske, “Pressure Pulse Propagation in Two-Phase One and Two-Component Mixture,” Argonne National Laboratory Rep. 7792, (1971).
H.B. Karplus, “Propagation of a Pressure Wave in a Mixture of Water and Steam,” Armour Research Foundation of Illinois Institute of Technology Rep. 4132, (1961).
citation_journal_title=Nucl. Sci. and Eng.; citation_title=Characteristics Analysis of Inhomogeneous, Nonequilibrium, Two-Phase Flows Using the Drift-Flux Model; citation_author=S. Kaizerman, E. Wacholder, E. Elias; citation_volume=84; citation_issue=2; citation_publication_date=1983; citation_pages=168-173; citation_id=CR19