Favorite references on multifluid flow (current till about 1995)

From: M. J. McCready

Abrams, J. 1984 Turbulent flow over small amplitude solid waves. Ph.D. Thesis University of Illinois, Urbana.

Abrams, J and T. J. Hanratty (1985) Relaxation effects observed for turbulent flow over a wavy surface.* J. Fluid Mech.* **151**, p. 443.

Andritsos, N., Williams, L. & Hanratty, T. J. 1989 Effect of viscosity on the stratified-slug transition in horizontal pipe flow. *Int. J. Mult. Flow ***15**, 877-892.

Andritsos and Hanratty , T. J. 1987 Influence of interfacial waves in stratified gas-liquid flows. AIChE J. **33** 444-454.

P. Andreussi, J.C. Asali, and T.J. Hanratty, ``Initiation of Roll waves in Gas-Liquid flows,'' AIChE J. {\bf 31} 119 (1985)

Back, D. D. & McCready, M. J. 1988 Theoretical study of interfacial transport in gas-liquid flows. *AIChE J. ***34**, 1789-1802.

Bagget, J. S. and Trefethen, L. N. 1997, Low-dimensional models of subcritical transition to turbulence, *Physics of Fluids*, **9**, pp1043-1053.

Barnea, D. & Taitel, Y. 1985 Flow pattern transition in two-phase gas-liquid flows. In *Encyclopedia of Fluid Mechanics*, Vol. 3, Gulf Publ. Co., Houston.

Barnea, D. 1991 On the effect of viscosity on stability of stratified gas-liquid flow — application to flow pattern transition at various pipe inclinations. *Chem. Eng. Sci. ***46**, 2123-2131.

Barnea, D. & Taitel, Y. 1993 Kelvin-Helmholtz stability criteria for stratified flow: viscous versus non-viscous (inviscid) approaches. *Int. J. Multiphase Flow* **19**, 639-649.

Barnea, D. & Taitel, Y. 1994 Non-linear interfacial instability of separated flow. *Chem. Engng Sci*. **49**, 2341-2349.

Barnea, D. 1987 A unified model for predicting flow-pattern transitions for the whole range of pipe inclinations. *Int. J. Multiphase Flow* **13**, 1-12.

Bendat, J. S. & A. G. Piersol. 1986 *Random Data: Analysis and Measurement Procedures*. 2nd edition, John Wiley and Sons, Inc., New York.

Bendiksen, K. H. 1985 On the motion of long bubbles in vertical tubes. *Int. J. Mult. Flow* **10** 467-483.

Bendiksen, K. & Espedal, M. 1992 Onset of slugging in horizontal gas-liquid pipe flow. *Int. J. Multiphase Flow* **18**, 237-247.

Blennerhassett, P. J. 1980 On the Generation of waves by wind. *Proc. R. Soc. Lond*. A **298**, 451-494.

Blennerhassett, P. J. & Smith, F. T. 1987 Short-scale waves on wind-driven water ("cat's paws'). *Proc. Roy. Soc. Lond. *A **410**, 1-17.

Brauner, N. & D. M. Maron 1991 Analysis of stratified/nonstratified transitional boundaries in horizontal gas-liquid flows. *Chem. Eng. Sci. ***46**, 1849-1859.

Brill, J. P. & Arirachakaran, S. J. 1992 State of the art in multiphase flow. *J. Petrol. Tech. *May 1992, p 538-541.

Brodkey, R. S. 1963 Limitations on a generalized velocity distribution. *AIChE J. ***9 **448-451.

Bruno and McCready, 1989 Study of the processes which control the interfacial wave spectrum in separated gas-liquid flows. *Int. J. of Mult. Flow* **15** 531-552.

Bruno, K. & M. J. McCready 1988 Origin of roll waves in gas-liquid flows. *AIChE J. *** 34**, 1431-1440.

Campbell, J. A. & T. J. Hanratty 1983 Mechanism of Turbulent Mass transfer at a solid boundary. *AIChE J. ***29**, 221.

M.E. Charles and L.U. Lilleleht, `` An Experimental Investigation of Stability and Interfacial Waves in Cocurrent Flow of two Liquids,'' J. Fluid Mech. {\bf 22}, 217 (1965)

F. Charru and J. Fabre, {\em Phys. Fluids}, {\bf 6}, 1223 (1994).

Cohen, L. S. & Hanratty, T. J. 1965 Generation of waves in the concurrent flow of air and a liquid. *AIChE J ***11,** 138-144.

Craik, A. D. D. 1966 Wind generated waves in thin liquid films. *J. Fluid Mech.* **26,** 369-392.

Crowley, C. J., G. B. Wallis & Barry, J. J. 1992 Validation of a one-dimensional wave model for the stratified to slug flow regime transition, with consequences for wave growth and slug frequency. *Int. J. Mult. Flow ***18** 249-271.

Crowley, C. J., G. B. Wallis & Barry, J. J. 1993 Dimensionless form of a one-dimensional wave model for the stratified flow regime transition. *Int. J. Mult. Flow ***19** 369-376.

Delhaye, J. -M. 1990 Multiphase instrumentation and experimental techniques. *Multiphase Science and Technology* **5** pp 65-84.

Drazin, P. G. & Reid, W. H. 1981 *Hydrodynamic Stability.* Cambridge University Press, New York.

Drew, D. & J. E. Flaherty 1992 Analysis of Multiphase flow *Proceedings of third Internation workshop on two-phase flow fundamentals. *

Dukler and Fabre 1992 Gas-liquid slug flow, Knots and Loose Ends. *Proceedings of third Internation workshop on two-phase flow fundamentals. *

Dumitrescu, D. T. 1943 Stromung an einer Luftblase in senkrechten Rohr. *Z. Angew. Math. Mech.* **23** 139-149.

Elgar, S. & Guza, R. T. 1985 Observations of bispectra of shoaling surface gravity waves. *J. Fluid Mech.*, **161**,425-448.

Fabre, J. and A. Line 1992 Modeling of two-phase slug flow. *Ann Rev. Fluid Mech.* **24** 21-46.

Fan, Z., Lusseyran, F. & Hanratty, T J. 1993 Initiation of slugs in horizontal gas-liquid flows. *AIChE J.* **39** 1741-53.

Gardner, D.R., S.A. Trogdon, & R.W. Douglass 1989 A modified tau spectral method that eliminates spurious eigenvalues. *J. Comp. Phys.* **80**, 137.

Gastel, K. van, Janssen, P. A. E. M., & Komen, G. J. 1985 On phase velocity and growth rate of wind-induced gravity-capillary waves.*J. Fluid Mech.* **161**, 199-216.

Govier, G. W. and Aziz, K. 1972 *The flow of complex mixtures in pipes. *van Nostrand Reinhold Co.

Grassberger, P. and Procaccia I. 1983 *Phys. Rev. Lett. 50 346. *

Hanratty, T. J. 1983 Interfacial instabilities caused by air flow. In *Waves on Fluid Interfaces* (Edited by Meyer, R. E.). Academic Press, New York.

T. J. Hanratty and J. M. Engen ``Interaction between a turbulent air stream and a moving water surface,'' AICHE J. {\bf 3} 299 (1957).

Hanratty, T. J. & Hershman, A. 1960 Initiation of Roll waves. *AIChE* *J*. **7** 488-497.

Hanratty, T. J. & McCready, M. J. 1992 Phenomenological understanding of separated gas-liquid flows. *to appear: *Multiphase Science and Technology.

J. A. Helwick, P. O. Dillon and M. J. McCready, 1992 "Time varying behavior of cocurrent gas-liquid flows in packed beds", Chem. Eng. Sci., __47__, pp 3249-3256.

Hinch, E. J. 1984 A note on the mechanism of the instability at the interface between two shearing fluids. *J. Fluid Mech.* **144**, 463-465.

Hooper, A. P. & Boyd, W. G. C. 1983 Shear flow instability at the interface between two viscous fluids. *J. Fluid Mech.* **128**, 507-528.

Hooper, A. P. & Boyd, W. G. C. 1987 Shear flow instability due to a wall and a viscosity discontinuity at the interface.*J. Fluid Mech.* **179**, 201-225.

Hooper, A. P. 1985 Long wave instability at the interface between two viscous fluids: Thin layer effects.* Phys. Fluids.* **28**, 1613 - 1619.

Ishii, M. & N. Zuber 1979 Drag coefficient and relativ velocity in bubbly, droplet or particulate flows. *AIChE J. ***25**, 843-854.

Ishii, M. 1987 Interfacial area modelling. *Multiphase Science and Technology* **3**, 31-61.

Ishii, M. 1990 Two-fluid model for two-phase flow. *Multiphase Science and Technology* **5**, 1-63.

Issa, R. I., Prediction of turbulent, stratified two-phase flow in inclined pipes and channels, I. J. M. F, 14, pp 141-154, 1988.

H. Jeffreys ``On the formation of waves by wind,'' Proc. Roy. Soc. {\bf A107} 189 (1925).

Jurman, L. A., Deutsch, S. E. & McCready, M. J. 1992 Interfacial mode interactions in horizontal gas-liquid flows.*J. Fluid Mech.* **238**, 187-219.

L.A. Jurman and M.J. McCready, ``Study of Waves in Thin Films Seared by Turbulent Gas Flows,'' Phys. Fluids A {\bf 1},522 (1988)

L.A. Jurman, K. Bruno, and M.J. McCready, ``Periodic and Solitary Waves on Thin Horizontal, Gas Sheared Liquid Films,'' Int. J. Mult. Flow {\bf 15}, 371 (1989)

Kadambi, V. 1983 Void fraction and pressure drop in two-phase stratified flow. *Can. J. Chem. Engr.* **59,** 584-589.

T.W. Kao, and C. Park, ``Experimental Investigations of the Stability of Channel Flows. Part 1: Flow of a single Liquid in a Rectangular, Channel,'' J. Fluid Mech. {\bf 43}, 145 (1970)

T.W. Kao and C. Park, ``Experimental Investigations of the Stability of Channel Flows. Part 2: Two Layered Co-Current Flow in a Rectangular Channel,'' J. Fluid Mech. {\bf 52}, 401 (1972)

Kawai, S. 1979 Generation of initial wavelets by instability of a coupled shear flow and their evolution to wind waves.*J. Fluid Mech.* **93**, 661-703.

Y. Y. Kim and T. J. Hanratty, ``Weak quadratic interactions of two-dimensional waves,''

J. Fluid Mech. {\bf 50}, 107 (1971).

Kim, Y. C. & Powers, E. J. 1979 Digital bispectral analysis and its applications to nonlinear wave interactions. *IEEE Transactions on Plasma Science*, **PS-7**, 120-131.

Kocamustafaogullari G. and M. Ishii 1995 Foundation of the interfacial area transport equation and its closure relations. *Int. J. Heat and Mass.* **38**, 481-493.

Kordyban, E. S. & Ranov, T. 1970 Mechanism of slug formation in horizontal two-phase flow. *J. Basic Engng*** 92 **857-864.

Koskie, J E.,Mudawar, I.,Tiederman, W G. 1989 Parallel-wire probes for measurement of thick liquid films. *Int J Multiphase Flow* **15** p 521-530.

W. C. Kuru, M. Sangalli, D. D. Uphold and M. J. McCready, "Linear stability of stratified channel flow", Int. J. Mult. Flow, __21__, pp 733-753, 1995.

Lahey, R. T. (1990) The analysis of phase separation and phase distribution phenomena using two-fluid models. *Nuclear Eng. and Des. ***122**, 17-40.

Lahey, R. T. (1991) Void Wave propagation phenomena in two-phase flow. *AIChE.J. ***37**, 123-135.

Lin, P. Y. & Hanratty, T. J. 1986 Prediction of the initiation of slugs with linear stability theory. *Int. J. Multiphase Flow* **12,** 79-98.

Liu, H. -T. and Lin, J.-T 1982 On the spectra of high-frequency wind waves. *J. Fluid Mech. ***123**, 165-185.

Leung W. H., S. T. Revankar, Y. Ishii and M. Ishii 1995 Axial development of interfacial area and void concentration profiles measured by double-sensor probe method. *Int. J. Heat Mass ***38** pp 445-453.

Liu, J., Paul, J. D. and Gollub, J. P. 1993 Measurements of the primary istabilities of film flows. *J. Fluid Mech. ***220** 69-101.

Lopes, J. C. B. and A. E. Dukler, "Droplet Entrainment in Vertical Annular Flow and Its Contribution to Momentum Transfer," *AIChE J.*, **32** (9), 1500 (1986).

Mandhane, J. M., Gregory, G. A. & Aziz, K. 1974 A flow pattern map for gas-liquid flow in horizontal pipes. *Int. J. Mult. Flow* **1, **537-553.

M. J. McCready and T. J. Hanratty, 1985 "Effect of air shear on gas absorption by a liquid film", AIChE Journal, __31__, pp 2066-2074.

M. J. McCready, "Spectral behavior of capillary waves in gas-liquid flows", The Physics of Fluids, __29__, pp 2836-2842, 1986.

M. J. McCready and H. -C. Chang, "Formation of large disturbances on sheared and falling liquid films", Chem. Eng. Comm., __141-142__, pp 347-358, 1996.

R. Miesen and B. J. Boersma, ``Hydrodynamic stability of a sheared liquid film,'' J. Fluid Mech.

{\bf 301}, 175 (1995)

Orszag, S. A. 1971 Accurate solution of the Orr-Sommerfeld stability equation *J. Fluid. Mech.* **50**, 689-703.

Pai, S. I. 1953 On turbulent flow between parallel plates. *J. App. Mech.* **20,** 109-114.

C. -A. Peng, L. A. Jurman, and M. J. McCready "Formation of solitary waves on gas-sheared liquid layers", International Journal of Multiphase Flow, __17__, pp 767-782, 1991.

Press, W. H., Teukolsky, S. A., Vetterling, W. T. and Flannery, B. P. 1992. *Numerical recipes in Fortran.* Cambridge U. Press.

Renardy, Y. 1985 Instability at the interface between two shearing fluids in a channel.* Phys. Fluids.* **28**, 3441-3443.

Renardy, M. & Renardy, Y. 1993 Derivation of amplitude equations and analysis of sideband instabilities in two-layer flows. *Phys. Fluids*, **A 5**, 2738-2762.

Ruder, Z., Hanratty, P. J. and T. J. Hanratty 1989 Necessary conditions for the existence of stable slugs in horizontal pipes. *Int. J. Mult. Flow* **16** 233.

Sangalli, M, Prokopiou, Th, McCready, M. J. & H. -C. Chang, 1992 Observed transitions in two-phase stratified gas-liquid flow.* Chem. Eng. Sci.* **47**, 3289-3296.

Sangalli,M., C. T. Gallagher, D. T. Leighton, H. -C. Chang and M.J. McCready,"Finite amplitude wave evolution at the interface between two viscous fluids", Phys. Rev. Let. __75__, pp 77-80, 1995.

M. Sangalli, M. J. McCready and H. -C. Chang, "Stabilization mechanisms of short waves in gas- liquid flow", Phys. Fluids, __9__, pp 919-939, 1997.

T. Shlang, G. I. Sivashinsky, A. J. Babchin and A. L. Frenkel, ``Irregular wavy flow due to viscous stratification,'' Le Journal de Physique {\bf 46}, 863 (1985).

Su, Y. Y. & Khomami, B. 1992 Numerical Solution of Eigenvalue Problems Using Spectral Techniques. *Journal of Computational Physics* **100**(2), 297-305.

Taitel, Y. & Dukler, A. E. 1976 A model for predicting flow regime transitions in horizontal and near horizontal gas-liquid flow. *AIChE J.* **22**, p. 47.

B. S. Tilley, S. H. Davis and S. G. Bankoff, `` Nonlinear long-wave stability of superposed fluids in an inclined channel,'' J. Fluid Mech. {\bf 277}, 55 (1994).

Thorsness, C. B., Morrisroe, P. E., & Hanratty, T. J. 1978 A comparison of linear theory with measurements of the variation of shear stress along a solid wave.*Chem. Eng. Sci. ***33,** 579.

Valenzuela, G. R. 1976 The growth of capillary-gravity waves in the coupled shear flow.*J. Fluid Mech.* **76**, 229-250.

Wallis, G. D. & J. E. Dobson 1973 Onset of slugging in horizontal stratified air-water flow. *Int. J. Mult. Flow* **1**, 173.

Wallis, G. B. 1969 *One dimensional two-phase flow.* McGraw-Hill.

Weber, M. E. 1981 Drift in intermittent two-phase flow in horizontal pipes. *Can. J. Chem. Eng.* **59**, 398-399.

Whalley, P. B. G. F. Hewitt and J. Terry, 1969 Photographic studies of two-phase flow using a parallel light technique. *UKAEA Report* , AERE-R9389

Woodmansee, D. E. and T. J. Hanratty, 1969 ``Mechanism for the removal of droplets from a liquid surface by a parallel air flow'',Chem. Eng.Sci.,**24**, 299-307 (1969).

Woods, B D. Hanratty, T J . (1996) Relation of slug stability to shedding rate, International Journal of Multiphase Flow. v 22 n 5 Sep 1996. p 809-828.

Yiantsios, S. G. & Higgins, B. G. 1988 Linear stability of plane Poiseuille flow of two superposed fluids. *Phys. Fluids* **31**, 3225-3238.

Young, J. B. & T. J. Hanratty 1991 Optical studies on the turbulent motion of solid particles in a pipe flow. *J. Fluid Mech. ***231**, 665-668.

Yih, C. S. 1967 Instability due to viscosity stratification. *J. Fluid Mech.* **27**, 337-352.

Zilker, D. P., G. W. Cook and T. J. Hanratty (1977) *J. Fluid Mech.* **82**, p. 29.

Zilker, D.P., and Hanratty, T.J. 1979 *J. Fluid Mech.*** 90,** 257.

Zukoski, E. E. 1966 Influence of viscosity, surface tension and inclination angle on motion of long bubbles in closed tubes. *J. Fluid Mech.* **25** 821-837.