Zusammenfassung
Im folgenden werden Strömungen nicht-homogener Medien behandelt. Sie können aus zwei oder mehreren homogenen Teilbereichen (Phasen) mit unterschiedlichen Aggregatzuständen (gasförmig, flüssig, fest) bestehen, aber auch zwei nicht-mischbare Flüssigkeiten gehören zu diesem Themenkreis.
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Literatur
B. Gal-Or and S. Wash, Chem. Eng. Sci. 23 (1968), 1431.
J. F. Harper, Advances in Applied Mechanics 12 (1972), 59.
S. Saito, Science Rep. Tohoku Imp. Univ., Sendai, Japan, 2 (1913), 179.
T. D. Taylor and A. Acrivos, J. Fluid Mech. 18 (1964), 466.
P. Savic, Nat. Res. Counc. Can. Rep. No. MT-22 (1953).
W. Ribtschinski, Bull. Int. Acad. Pol. Sci. Lett., Cl. Sci. Math. Nat., Ser. A (1911), 40.
J. S. Hadamard, C. R. Acad. Sci. 152 (1911), 1735.
L. Trefethen, Physico-Chemical Hydrodynamics 1 (1980), 221.
W. Schneider, Physico-Chemical Hydrodynamics 2 (1981), 135.
S. A. Beresnev, V. G. Chernyak and P. E. Suetin, J. Fluid Mech. 176 (1987), 295–310.
G. B. Wallis, Int. J. Multiphase Flow 1 (1974), 491.
E. Hochschwender, Diss. Heidelberg 1919.
S. A. Krzeczkowski, Int. J. Multiphase Flow 6 (1980), 227.
W. v. Ohnesorge, ZAMM 16 (1936), 355.
J. O. Hinze, Appl. Sci. Res. A1 (1948), 263, 273; AlChE. J. 1 (1955), 289.
K. Ruff, Chem.-Ing.-Tech. 49 (1977), 418.
A. Acrivos and T. S. Lo, J. Fluid Mech. 86 (1978), 641.
E. J. Hinch and A. Acrivos, J. Fluid. Mech. 91 (1979), 401.
P. Walzel, Chem.-Ing.-Tech. 52 (1980), 338.
D. W. Moore, J. Fluid Mech. 23 (1965), 749.
C. Plesko and H. J. Leutheusser, Proc. Intl. Conf. Fluid Dynamics, Beijing Univ. Press, 1987, pp. 631-636.
R. M. Davies and G. I. Taylor, Proc. Roy. Soc. A200 (1950), 375.
D. W. Moore, J. Fluid Mech. 6 (1959), 113.
D. W. T. Rippin und J. F. Davidson, Chem. Eng. Sci. 22 (1967), 217.
D. Bhaga and M. E. Weber, J. Fluid Mech. 105 (1981), 61–85.
W. L. Haberman and R. K. Morton, Am. Soc. Civil Eng., Trans. 121 (1956), 227.
Th. Dumitrscu, ZAMM 23 (1943), 139.
E. T. White and R. H. Beardmore, Chem. Eng. Sci. 17 (1962), 351.
G. B. Wallis, General Electric Company, Rept. 62GL130, 1962. Vgl. auch [MP16], S. 287.
S. Hattori, Rept. Aeron. Res. Inst. Tokyo Imp. Univ., No. 115, 1935.
F. P. Bretherton, J. Fluid Mech. 10 (1961), 166.
E. E. Zukovski, J. Fluid Mech. 25 (1966), 821–837.
D. E. Runge and G. B. Wallis (1965), vgl. [MP16], S. 304 ff.
P. Klemm (1986), priv. Mitteilung.
H.-J. Rath, Forsch. Ing.-Wes. 45 (1979), 83.
M. S. Plesset and A. Prosperetti, Ann. Rev. Fluid Mech. 9 (1977), 145–185.
R. E. A. Arndt, Ann. Rev. Fluid Mech. 13 (1981), 273–328.
W. Lauterborn, Phys. Blätter 32 (1976), 553.
J. R. Blake and D. C. Gibson, Ann. Rev. Fluid Mech. 19 (1987), 99–123.
J. H. J. van der Meulen, Proc. XVIIth Intl. Congress Theoret. Appl. Mech., Grenoble 1988 (Eds. P. Germain et al.), North-Holland, Amsterdam 1989, pp. 369-386.
F. Numachi, Ing.-Arch. 7 (1936) und 9 (1938).
W. Lecher, Escher-Wyss-Mitteilungen 33 (1960), Heft 1, 2, 3.
Ph. Eisenberg and H. L. Pond, David Taylor Model Basin Rep. 688, 1944.
H. Reichardt, UM 6606 und 6618, 1944.
M. P. Tulin, David Taylor Model Basin Report 843, 1953.
T. Y. Wu, J. Fluid Mech. 13 (1962), 161.
T. Y. Wu and D. P. Wang, J. Fluid Mech. 18 (1963), 65.
R. Eppler, J. Rat. Mech. Anal. 3 (1954), 591.
A. Roshko, NACA Techn. Note 3168, 1954.
B. R. Parkin, J. Ship Res. 1 (1958), 34.
Lord Rayleigh, Proc. Lond. Math. Soc. 10 (1879), 4; oder Scientific Papers 1, S. 361.
G. Grabitz und G. E. A. Meier, ZAMM-Tagungsheft 1983.
D. B. Bogy, Ann. Rev. Fluid Mech. 11 (1979), 207–228.
K. C. Chaudhary, L. G. Redekopp and T. Maxworthy, J. Fluid Mech. 96 (1980), 257–274, 275-286, 287-297.
A. Müller und S. Grossmann, Z. Naturforschung 40a (1985), 968–975.
P. Walzel, Chem.-Ing.-Tech. 51 (1979), 525.
J. F. Geer and J. C. Strikwerda, J. Fluid Mech. 101 (1980), 53.
P. Walzel, Chem.-Ing.-Tech. 52 (1980), 652–654.
P. Walzel und U. Klaumünzner, Chem.-Ing.-Tech. 52 (1980), 600–601.
A. F. Charwat and R. R. Russali, Physico-Chemical Hydrodynamics 2 (1981), 55–60.
A. Haenlein, Forschung 2 (1931), 139.
C. Weber, ZAMM 11 (1931), 136.
P. Schmidt und P. Walzel, Chem.-Ing.-Tech. 52 (1980), 304–311.
P. Walzel und H. Michalski, Verfahrenstechnik 14 (1980), 157.
G. F. Scheele and B. J. Meister, AlChE J. 14 (1968), 15–19.
D. B. Bogy, J. Fluid Mech. 105 (1981), 157–176.
H. C. Gupta and F. U. Bracco, AlAA J. 16 (1978), 1053–1061.
W. R. Schowalter, Mechanics of Non-Newtonian Fluids, Pergamon Press, Oxford 1978.
N. Dombrowski and W. R. Johns, Chem. Eng. Sci. 18 (1963), 203–214.
N. Dombrowski and G. Munday, Biochemical and Biological Engineering Science (Ed. N. Blakebrough), Vol. 2 (1968), 209-320 (Academic Press).
J. A. Schetz and A. Padhye, A1AA J. 15 (1977), 1385–1390.
J. A. Schetz, E. A. Kush Jr. and P. B. Joshi, AlAA J. 18 (1980), 774–778.
L. van Wijngaarden, Theoretical and Applied Mechanics (Hrsg. W. T. Kotier), North-Holland Publ. Company, 1976, S. 249-260.
V. V. Kuznetsov et al., J. Fluid Mech. 85 (1978), 85–96.
A. Mallock, Proc. Roy. Soc. A84 (1910), 391.
G. Heinrich, ZAMM 22 (1942), 117.
J. Ackeret, Forschung 1 (1930), 63.
I. J. Campbell and A. S. Pitcher, Proc. Roy. Soc. A243 (1958), 534.
T. Scheiwiller und K. Hutter, Mitteilungen der Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie, ETH Zürich, Nr. 56, 1982: J. Glaciology 29 (1983), 283-285.
L. Noordzij and L. van Wijngaarden, J. Fluid Mech. 66 (1974), 115–143.
K. Oswatitsch, Phys. Z. 42 (1941), 365–378.
R. Jackson und R. A. Davidson, Int. J. Multiphase Flow 9 (1983), 491–510.
H. Lang, ZAMM 69 (1989), T631–T632.
B. Schmitt-v. Schubert, GAMM-Tagung Karlsruhe 1989, ZAMM (in Druck).
B. Schmitt-v. Schubert, Ing.-Arch. 58 (1988), 205–214.
R. F. Tangren, C. H. Dodge and H. S. Seifert, J. Appl. Phys. 20 (1949), 637.
K. Wieghardt, Schiffstechnik 14 (1967), 24.
M. Giot and A. Fritte, Progress in Heat and Mass Transfer 6 (1972), 651–670 (Pergamon Press).
G. B. Wallis, Int. J. Multiphase Flow 6 (1980), 97–112.
C. T. Huey, Can. J. Chem. Eng. 44 (1966), 313–321.
C. T. Huey and R. A. A. Bryant, AlChE J. 13 (1967), 70–76.
G. K. Batchelor, Ann. Rev. Fluid Mech. 6 (1974), 227.
G. I. Taylor, Proc. Roy. Soc. A CCXXVI (1954), 34–39.
D. J. Jeffrey and A. Acrivos, AlChE J. 22 (1976), 417–432.
R. W. O’Brien, J. Fluid Mech. 91 (1979), 17–39.
Yu. A. Buyevich and I. N. Shchelchkova, Prog. Aerospace Sci. 18 (1978), 121–150.
P. L. Spedding and V. T. Nguyen, Chem. Eng. Sci. 35 (1980), 779–793.
D. Barnea et al., Int. J. Multiphase Flow 6 (1980), 217–225.
J. H. Witte, J. Fluid Mech. 36 (1969), 4.
F. E. Marble, 5th AGARD Combustion and Propulsion Colloquium (Hrsg. R. P. Hagerty u.a.), Pergamon, 1963.
J. H. Stuhmiller, Int. J. Multiphase Flow 3 (1977), 551–560.
S. V. Iordanskii and A. G. Kulikovskii, Fluid Dynamics 12 (1977), 499–504.
S. Banerjee and A. M. C. Chan, Int. J. Multiphase Flow 6 (1980), 1–24.
B. T. Chao, W. T. Sha and S. L. Soo; C. T. Crowe G. B. Wallis; J. A. Bouré; B. T. Chao et al.; W. T. Sha and S. L. Soo: Int. J. Multiphase Flow 4 (1978), 219–223; 225-229; 585-586; 5 (1979), 159-164; 6 (1980), 383-384; Int. J. Heat Mass Transfer 23 (1980), 583-586.
S. Kakac and F. Mayinger (Eds.), Two-Phase Flows and Heat Transfer, Vol. 1, Hemisphere, 1977; bes. J. M. Delhaye, S. 59-114.
T. N. Veziroglu and S. Kakac (Eds.), Two-Phase Transport and Reactor Safety, Vol. 1, Hemisphere, 1978; bes. S. L. Soo, S. 267-281 und D. Gidaspow, S. 283-297.
F. Durst et al. (Eds.), Two-Phase Momentum, Heat and Mass Transfer, Vol. 1, McGraw, 1979; bes. J. M. Delhaye, S. 3, C. T. Crowe, S. 23 und J. A. Bouré, S. 187.
D. A. Drew and R. T. Lahey; R. I. Nigmatulin; W. T. Hankox et al.; K. H. Ardon; V. N. Nikolaevskii; R. I. Nigmatulin: Int. J. Multiphase Flow 5 (1979), 243–264; 353-385; 6 (1980), 25-40; 295-304; 375-378; 379-382.
P. S. Gough and F. J. Zwarts, AIAA J. 17 (1979), 17–25.
H. Immich, ZAMM 60 (1980), 99–107 und 153-160.
R. P. Roy and S. Ho, Int. J. Heat Mass Transfer 23 (1980), 1162–1167.
A. Bedford and D. Drumheller, Int. J. Eng. Sci. 21 (1983), 863–960.
L. van Wijngaarden, Proc. XVIIth Int. Congress Theoret. Appl. Mech., Grenoble 1988 (Eds. P. Germain et al.), North-Holland, Amsterdam 1989, pp. 387-406.
J. F. Richardson and W. N. Zaki, Trans. Inst. Chem. Engrs. 32 (1954), 35–53.
M. Ishii, Two-phase Flows and Heat Transfer, Vol. 1 (Eds. S. Kakac and F. Moyinger), Hemisphere, 1977, S. 187-208.
M. Ishii and M. A. Grolmes, Two-Phase Transport and Reactor Safety, Vol. I (Eds. T. N. Veziroglu and S. Kakac), Hemisphere, 1978, S. 299-306.
J. F. Richardson and M. A. S. Jerónimo, Chem. Eng. Sci. 34 (1979), 1419–1422.
Y. Nishimura and T. Ishii, Chem. Eng. Sci. 35 (1980), 1195–1204, 1205-1209.
J. H. Masliyah, Chem. Eng. Sci. 34 (1979), 1166–1168.
C. L. Tien, K. S. Chung and C. P. Liu, Physico-Chemical Hydrodynamics 1 (1980), 195–207, 209-220.
J. F. Davidson, D. Harrison and J. R. F. Guedes de Carvalho, Ann. Rev. Fluid Mech. 9 (1977), 55–86.
J. F. Fanucci, N. Ness and R.-H. Yen, J. Fluid Mech. 94 (1979), 353–367.
J. R. Grace and J. M. Matsen (Eds.), Fluidization (Proceedings of the 1980 International Fluidization Conference). Plenum Press. 1980.
J. F. Davidson, Proc. XVIIth Int. Congress Theoret. Appl. Mech., Grenoble 1988 (Eds. P. Germain et al.), North-Holland, Amsterdam 1989, pp. 57-72.
T. N. Smith, Chem. Eng. Sci. 33 (1978), 745–749.
P. J. Jones, C. S. Teo and L. S. Leung, Fluidization (Eds. J. R. Grace and J. M. Matsen), Plenum 1980, S. 469-476.
F. W. Staub, Powder Technology 26 (1980), 147–159.
A. Kluwick, Acta Mechanica 26 (1977), 15–46.
M. J. Lighthill and G. B. Whitham, Proc. Roy. Soc. A229 (1955), 317–345.
G. J. Kynch, Trans. Faraday Soc. 48 (1952), 166–176.
P. T. Shannon and E. M. Tory, Industrial and Engineering Chemistry 57 (1965), 18–25.
A. E. Boycott, Nature 104 (1920), 532.
W. D. Hill, R. R. Rothfus and K. Li, Int. J. Multiphase Flow 3 (1977), 561–583.
A. Acrivos and E. Herbolzheimer, J. Fluid Mech. 92 (1979), 435–457.
W. Schneider, J. Fluid Mech. 120 (1982), 323–346.
U. Schaflinger, Diss. T. U. Wien, 1983; Int. J. Multiphase Flow 11 (1985), 189–199.
E. S. G. Shaqfeh and A. Acrivos, Phys. Fluids 30 (1987), 1905–1914.
R. H. Davis and A. Acrivos, Ann. Rev. Fluid Mech. 17 (1985), 91–118.
W. Schneider, Flow of Real Fluids (Hrsg. G. E. A. Meier und F. Obermeier), Springer Berlin, 1985, S. 326–337.
H. Buggisch, ZAUM 64 (1984), T3–T11.
F. H. Bark and A. A. Dahlkild, ZAMM 69 (1989), T531–T539.
K. Horikawa, Ann. Rev. Fluid Mech. 13 (1981), 9–32.
F. Engelund und J. Redsbe, Ann. Rev. Fluid Mech. 14 (1982), 13–37.
J. Gasterstädt, VDI-Forschungsheft 265 (1924), 617 und VDI-Zeitschr. 68 (1924).
O. Molerus and P. Wellmann, Chem. Eng. Sci. 36 (1981), 1623–1632. 1977-1984.
J. A. Ottjes, Chem. Eng. Sci. 33 (1978), 783–786.
H. Mothes, Dissertation, Univ. Karlsruhe, 1982.
W. Barth, ZAMM 25/27 (1947), 157 und Ing.-Arch. 16 (1948), 147.
R. A. Bagnold, Proc. Roy. Soc. A157 (1936), 594.
F. K. Wippermann and G. Gross, Boundary Layer Meteorology 36 (1986), 319–334.
K. J. Richards, J. Fluid Mech. 99 (1980), 597–618.
W. Merzkirch and K. Bracht, Int. J. Multiphase Flow 4 (1978), 89–95; 5 (1979), 301-312.
B. M. Sumer and B. Oǧuz, J. Fluid Mech. 86 (1978), 109–127.
D. Leighton and A. Acrivos, Chem. Eng. Sci. 41 (1986), 1377–1384.
C. K. Ziegler and W. Lick, Proc. Int. Conf. Fluid Dynamics, Beijing Univ. Press, 1987, pp. 794-799.
B. M. Sumer, B. Oǧuz and R. Deigaard, J. Fluid Mech. 86 (1978), 109, J. Fluid Mech. 109 (1981), 311.
D. H. Caldwell and H. E. Babitt, Am. Inst. Chem. Engrs. 37 (1941), 237. Kurzbericht hierüber von L. Schilling in Forschung 14 (1943), 85.
H. J. Casey, Mitt. d. Preuß. Vers. Anst., Heft 19.
A. Shields, Preuß. Versuch. Anst. f. Wasser-, Erd-und Schiffbau, H. 26 (1936).
E. Meyer-Peter, H. Favre, H. A. Einstein. Schweizer Bauzeitung 103 (1934), Nr. 13.
W. Liebs, Mitt. d. Preuß. Vers. Anst. f. Wasser-, Erd-und Schiffbau, H. 43 (1942).
H. Favre, Annales des points et chaussées 1935, Nr. VIII und 1936, Nr. VII.
H. Schmitt, Mitteil. MPI für Strömungsforschung Göttingen 37 (1966).
H. A. Einstein, R. Müller, Schweizer Arch. f. angew. Wiss. u. Techn. H. 8 (1939).
R. Seifert, Die Bautechnik 20 (1942), 327.
G. de Thiery, C. Matschoß, Die Wasserbaulaboratorien Europas. Berlin 1926, S. 170 und Tafel VI.
M. Munk, NACA-Rep. 114 (1921).
H. Glauert, Rep. a. Mem. 1158 (1928).
G. I. Taylor, Proc. Roy. Soc. 120 (1928), 260 und Rep. a. Mem. 1160.
W. Tollmien, Ing.-Arch. 9 (1938), 308.
D. Drew, L. Cheng and R. T. Lahey, Jr., Int. J. Multiphase Flow 5 (1979), 233–242.
G.-G. Börger und K. Gersten, Forsch. Ing.-Wes. 38 (1972), 87–93.
J. Boussinesq, Théorie analytique de la chaleur. Teil II, Gauthier Villars, Paris, 1903.
V. Bjerknes, Zeitschr. f. d. phys. u. chem. Unterricht 43 (1930), 1.
W. Frössel, Öl und Kohle 39 (1943), 257, vgl. auch Forschung 9.
J. L. Lumley, in: Turbulence (Ed. P. Bradshaw), Springer Berlin, 1976, S. 289–324.
J. L. Lumley, J. Polymer Sci.: Macromolecular Reviews 7 (1973), 263–290.
D. F. McTigue et al., J. Rheology 30 (1986), 1053–1076.
E. Windhab, Diss. Univ. Karlsruhe, Fortschritt-Ber. VDI Reihe 3 Nr. 118, 1986.
R. D. Reitz and F. U. Bracco, Physics Fluids 25 (1982), 1730–1742.
F. G. S. Benatt und P. Eisenklam, J. Inst. Fuel 1969, 309-315.
S. K. Garg and J. W. Pritchett, J. Appl. Phys. 46 (1975), 4493–4500.
A. Prosperetti and A. V. Jones, Int. J. Multiphase Flow 10 (1984), 425–440.
R. C. Givler, Int. J. Multiphase Flow 13 (1987), 717–722.
G. M. Homsy et al., Int. J. Multiphase Flow 6 (1980), 305–318.
G. Gyarmathy, in [MP 19), Kap. 2.
J. A. Bouré, XVIIth Int. Congress Theoret. Appl. Mech., Grenoble 1988, oder Report SETh/LEF/88-16, Centre d’Etudes Nucleareis de Grenoble, 1988.
K. Schügerl, M. Merz and F. Fetting, Chem. Eng. Sci. 15 (1961), 1–99.
H. P. Greenspan and M. Ungarish, J. Fluid Mech. 157 (1985), 359–373.
U. Schaflinger, A. Köppl and G. Filipczak, ZAMM 86 (1986), T261–T264; Ing.-Archiv 56 (1986), 321-331.
G. Amberg, A. Dahlkild, F. Bark and D. S. Henningson, J. Fluid Mech. 166 (1986), 473–502.
M. Ungarish, J. Fluid Mech. 193 (1988), 27–51.
H. P. Greenspan and M. Ungarish, Int. J. Multiphase Flow 8 (1982), 587–604.
U. Schaflinger, Int. J. Multiphase Flow 11 (1985), 783–796.
W. Schneider, G. Anestis and U. Schaflinger, Int. J. Multiphase Flow 11 (1985), 419–423.
V. P. Fessas and R. H. Weiland, Int. J. Multiphase Flow 10 (1984), 485–507.
G. Eitelberg and R. K. Clarke, Proc. 9th Australian Fluid Mech. Conf., 1986, Appendix 1.
F. Concha and M. C. Bustos, AIChE J. 33 (1987), 312–315.
F. M. Auzerais, R. Jackson and W. B. Rüssel, J. Fluid Mech. 195 (1988), 437–462.
E. S. G. Shaqfeh and A. Acrivos, Phys. Fluids 29 (1986), 3935–3948.
P. Prasad, J. Fluid Mech. 150 (1985), 417–426.
E. S. G. Shaqfeh and A. Acrivos, Phys. Fluids 30 (1987), 960–973.
G. Amberg and A. A. Dahlkild, J. Fluid Mech. 185 (1987), 415–436.
R. W. Lockhart and R. C. Martinelli, Chem. Eng. Prog. 45 (1949), 39–48.
E. Kriegel, Chem.-Ing.-Tech. 39 (1967), 1267–1274.
M. D. Chrisholm and L. A. Sutherland, Proc. Inst. Mech. Eng. 184 (1969), 24–32.
J. M. Mandhane, G. A. Gregory and K. Aziz, Int. J. Multiphase Flow 1 (1974), 537–553.
T. Osinowo and M. E. Charles, Can. J. Chem. Eng. 52 (1974), 25–35.
J. Weisman and S. Y. Kong, Int. J. Multiphase Flow 7 (1981), 271–291.
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Prandtl, L., Oswatitsch, K., Wieghardt, K. (1990). Strömungen mit mehreren Phasen. In: Führer durch die Strömungslehre. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-99491-2_6
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