Abstract
Before we study two-phase flows, we should give a definition of two-phase flow. By two-phase flow, we means a special flow problem in which we have to consider the mechanics of two phases of matter simultaneously. From the macroscopic description of matter, it is well known that we may divide the matter into four phases or states (see Chapter II): solid, liquid, gas, and plasma (ionized gas). Except for the solid state, matter in the other three states may be deformed without applying any force, provided that the change of shape takes place over a sufficiently long time. The term fluid has been used as a general name for the three states of matter: liquid, gas, and plasma. Furthermore, when a large number of small solid particles flow in a fluid, if the velocity of the fluid is sufficiently high, the behavior of such solids is similar to ordinary fluid. We may consider these solid particles as a pseudo-fluid. Under proper conditions, we may treat fluid flow problems for solid (pseudo-fluid), liquid, gas and plasma.
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References
Anderson, A. G.: Sedimentation. Sec. 18 of Handbook of Fluid Dynamics, Ed. V. L. Streeter, McGraw-Hill, New York 1961.
Brodkey, R. S.: The Phenomena of Fluid Motions. Addison Wesley Publishing Co., Reading, Mass. 1967.
Campbell, I. J. and Pitcher, A. S.: Shock waves in a liquid containing gas bubbles. Proc. Royal Soc. London, Ser. A, vol. 243, pp. 534–545, Feb. 11, 1958.
Eddington, R. B.: Investigation of supersonic shock phenomena in a two-phase (liquid-gas) tunnel. Tech. report 32–1096, Jet Propulsion Lab. Calif. Inst, of Tech. March 15, 1967.
Eisenberg, P. and Tulin, M. P.: Cavitation. Sec. 12, Handbook of Fluid Dynamics. Ed. V. L. Streeter, McGraw-Hill, New York 1961.
Epstein, P. S. and Plesset, M. S.: On the stability of gas bubbles in liquid gas solution. Jour. Chem. Phys. vol. 18, no. 11, pp. 1505–9, 1950.
Flax, A. H.: Aero- and Hydro-elasticity in Structure Mechanics. Proc. 1st Symp. on Naval Structural Mechanics. Ed. by J. N. Goodier and N. J. Hoff, Pergamon Press, pp. 285–326. 1960.
Lees, L.: Ablation in Hypersonic Flows. Proc. 7th Anglo-American Aero. Conference, Inst. Aero. Sei., pp. 344–362, 1959.
Mallock, A. A.: The damping of sound in froth liquids. Proc. Royal Soc. London. Ser. A, vol. 80, pp. 391–395, 1910.
Marble, F. E.: Dynamics of a gas containing small solid particles. Proc. 5th AGARD Combustion and Propulsion Colloquim, Pergamon Press, New York, pp. 175–215, 1963.
Muir, J. F. and Eichhorn, R.: Compressible flow of air water mixture through a vertical two dimensional convergent-divergent nozzle. Proc. 1963 Heat Transfer and Fluid Mech. Inst. Stanford Univ. Press, pp. 183–204, 1963.
Murray, J. O.: On the mathematics of fluidization. 1. Fundamental Equations and wave propagation. Jour. Fluid Mech. vol. 21, pp. 465–494, 1965.
O’Keefe, J. A. and Adams, E. W.: Tektite structure and lunar ash flows. Jour. Geophy. Res. vol. 70, no. 16, pp. 3819–3829, 1965.
Pai, S. I.: Magnetogasdynamics and Plasma Dynamics. Springer Verlag, Vienna and New York, 1962.
Pai, S. I. and Powers, J. O.: Non-equilibrium effects on energy transfer in an ionized fluid flow. Dynamics of Fluids and Plasmas, Ed. by S. I. Pai, Academic Press, Inc. New York, pp.xl 7i pp. 179–198, 1966.
Plesset, M. S. and Hsieh, D. Y.: Theory of gas bubble dynamics in oscillating pressure field. Phys. of Fluids, vol. 3, pp. 882–892, 1960.
Richardson, J. G.: Flow through porous media. Sec. 16, Handbook of Fluid Dynamics, Ed. By V. L. Streeter, McGraw-Hill, New York, 1961.
Scala, S. M. and Sutton, G. W.: The two-phase hypersonic laminar boundary layer — A study of surface melting. Proc. 1958 Heat Transfer and Fluid Mech. Inst. Stanford Univ. Press, pp. 231–240, 1958.
Skinner, L. A.: Bubble Dynamics on a hot surface. Phys. of Fluids, vol. 10, pp. 502–506, 1967.
Soo, S. L.: Fluid Dynamics of Multiphase Systems. Blaisdell Publishing Co. Waltham, Mass. 1967
Tangren, R. F., Dodge, C. H. and Seifert, H. S.: Compressibility effects in two-phase flow. Jour. Appl. Phys. vol. 20, no. 7, pp. 637–645, July 1949.
Tek, M. R.: Two-Phase Flow. Sec. 17, Handbook of Fluid Dynamics, Ed. by V. L. Streeter, McGraw-Hill, New York, 1961.
van Driest, E. R.: Superspeed in the sea. Oceanology International May/June, pp. 24–27, 1968. (Problems of high speed hydrodynamics, Jour. Eng. for Industry, ASME Trans., Vol. 91, Series B, No. l,pp. 1–12, Feb. 1969)
Wallis, G. B.: One-Dimensional Two-Phase Flow. McGraw-Hill, New York, 1969.
Wood, A. B.: A Textbook of Sound, Macmillan, New York, 1941, p. 361.
Yih, C. S.: Dynamics of Non-Homogeneous Fluids. Macmillan, New York, 1965.
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Pai, SI. (1977). Introduction: Classification of Two-Phase Flows. In: Oswatitsch, K. (eds) Two-Phase Flows. Vieweg Tracts in Pure and Applied Physics, vol 3. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-86348-5_1
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DOI: https://doi.org/10.1007/978-3-322-86348-5_1
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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