Zusammenfassung
Dies ist ein Kapitel der 12. Auflage des VDI-Wärmeatlas.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Diese Untersuchungen wurden durch die Deutsche Forschungsgemeinschaft (DFG) unter der Zuwendung Nr. SO 204/42-1 gefördert.
Literatur
Sommerfeld, M., van Wachem, B., Oliemans, R.: Best Practice Guidelines for Computational Fluid Dynamics of Dispersed Multiphase Flows. ERCOFTAC European Research Community on Flow, Turbulence and Combustion (2008). ISBN:978-91-633-3564-8
Crowe, C.T. (Hrsg.): Multiphase Flow Handbook. CRC Press/Taylor & Francis Group, Boca Raton (2006)
Crowe, C.T., Schwarzkopf, J.D., Sommerfeld, M., Tsuji, Y.: Multiphase flows with Droplets and Particles (Second Edition). CRC Press, Boca Raton (2012)
Sommerfeld, M.: Modellierung und numerische Berechnung von partikelbeladenen Strömungen mit Hilfe des Euler/Lagrange-Verfahrens. Berichte aus der Strömungsmechanik. Shaker Verlag, Aachen (1996)
Basset, A.B..: On the motion of a sphere in a viscous liquid. Phil. Trans. R. Soc. A. A179, 43–69 (1888)
Boussinesq, J.V.: Sur la resistance d’une sphere solide. C.R. Hebd. Seanc. Acad. Sci. Paris. 100, 935 (1885)
Oseen, C.W.: Hydromechanik, S. 132. Akademische Verlagsgemeinschaft, Leipzig (1927)
Tchen, C.-M.: Mean value and correlation problems connected with the motion of small particles suspended in a turbulent fluid. Dissertation, Technische Hochschule Delft, Martinus Nijhoff, The Hague (1947)
Maxey, M.R., Riley, J.J.: Equation of motion for a small rigid sphere in a nonuniform flow. Phys. Fluids 26, 883–889 (1983)
Hjelmfelt Jr., A.T., Mockros, L.F.: Motion of discrete particles in a turbulent fluid. Appl. Sci. Res. 16, 149–161 (1966)
Tenneti, S., Subramaniam, S.: Particle-resolved direct numerical simulation for gas-solid flow model development. Annu. Rev. Fluid Mech. 46, 199–230 (2014)
Stokes, G.G.: On the effect of the internal frictions of fluids on the motion of pendulums. Trans. Cambr. Phil. Soc. 9, 8–106 (1851)
Schlichting, H., Gersten, K.: Grenzschicht-Theorie, 10., überarb. Aufl. Springer Verlag, Berlin (2006)
Clift, R., Grace, J.R., Weber, M.E.: Bubbles, Drops and Particles. Academic, New York (1978)
Schiller, L., Naumann, A.: Über die grundlegende Berechnung bei der Schwerkraftaufbereitung. Ver. Deut. Ing. 44, 318–320 (1933)
Torobin, L.B., Gauvin, W.H.: The drag coefficient of single spheres moving in steady and accelerated motion in a turbulent fluid. AICHE J. 7, 615–619 (1961)
Uhlherr, P.H.T., Sinclair, C.G.: The effect of free stream turbulence on the drag coefficient of spheres. Proc. Chem. 1, 1–13 (1970)
Bagchi, P., Balachandar, S.: Effect of turbulence on the drag and lift of a particle. Phys. Fluids 15, 3496–3513 (2003)
Sawatzki, O.: Über den Einfluß der Rotation und der Wandstöße auf die Flugbahn kugeliger Teilchen im Luftstrom. Dissertation, University of Karlsruhe (1961)
Hölzer, A., Sommerfeld, M.: Lattice Boltzmann simulations to determine drag, lift and torque acting on non-spherical particles. Comput. Fluids 38, 572–589 (2009)
Haider, A., Levenspiel, O.: Drag coefficient and terminal velocity of spherical and nonspherical particles. Powder Technol. 58, 63–70 (1989)
Thompson, T.L., Clark, N.N.: A holistic approach to particle drag prediction. Powder Technol. 67, 57–66 (1991)
Hölzer, A., Sommerfeld, M.: New and simple correlation formula for the drag coefficient of non-spherical particles. Powder Technol. 184, 371–365 (2008)
Brenner, H.: The slow motion of a sphere through a viscous fluid towards a plane surface. Chem. Eng. Sci. 16, 242–251 (1961)
Faxen, H.: Der Wiederstand gegen die Bewegung einer starren Kugel in einer zähen Flüssigkeit, die zwischen zwei parallelen ebenen Wänden eingeschlossen ist. Arkiv für Mathematik, Astronomi o. Fysik. 18, 1–52 (1924)
Zeng, L., Najiar, F., Balachandar, S., Fischer, P.: Forces on a finite-size particle located close to a wall in a linear shear flow. Phys. Fluids 21, 033302 (2009)
Sommerfeld, M.: Particle Motion in Fluids. VDI-Buch: VDI Heat Atlas, S. 1181–1196. Springer Verlag, Berlin/Heidelberg, Part 11 (2010). ISBN:978-3-540-77877-9
Davies, C.N.: Definitive equation for the fluid resistance of spheres. Proc. Phys. Soc. 57, 1060–1065 (1945)
Reeks, M.W., McKee, S.: The dispersive effect of Basset history forces on particle motion in turbulent flow. Phys. Fluids 27, 1573–1582 (1984)
Odar, F., Hamilton, W.S.: Forces on a sphere accelerating in a viscous fluid. J. Fluid Mech. 18, 302–314 (1964)
Michaelides, E.E., Roig, A.: A reinterpretation of the Odar and Hamilton data on the unsteady equation of motion of particles. AICHE J. 57, 2997–3002 (2011)
Michaelides, E.E.: A novel way of computing the Basset term in unsteady multiphase flow computations. Phys. Fluids A. 4, 1579–1582 (1992)
Hinsberg, M.A.T., Ten Thije Boonkamp, J.H.M., Clercx, H.J.H.: An efficient, second order method for the approximation of the Basset history force. J. Comput. Phys. 230, 1465–1478 (2011)
Löffler, F.: Staubabscheidung. Georg Thieme Verlag, Stuttgart (1988)
Saffman, P.G.: The lift on a small sphere in a slow shear flow. J. Fluid Mech. 22, 385–400 (1965)
Saffman, P.G.: Corrigendum to: „The lift on a small shere in a slow shear flow“. J. Fluid Mech. 31, 624 (1968)
Mei, R.: An approximate expression for the shear lift force on a spherical particle at finite Reynolds number. Int. J. Multiphase Flow 18, 145–147 (1992)
Dandy, D.S., Dwyer, H.A.: A sphere in shear flow at finite Reynolds number: Effect of shear on particle lift, drag, and heat transfer. J. Fluid Mech. 216, 381–410 (1990)
Sommerfeld, M., Kussin, J.: Analysis of collision effects for turbulent gas-particle flow in a horizontal channel: part II. Integral properties and validation. Int. J. Multiphase Flow 29, 701–718 (2003)
Rubinow, S.I., Keller, J.B.: The transverse force on spinning sphere moving in a viscous fluid. J. Fluid Mech. 11, 447–459 (1961)
Oesterlé, B., Bui Dinh, T.: Experiments on the lift of a spinning sphere in a range of intermediate Reynolds numbers. Exp. Fluids 25, 16–22 (1998)
Dennis, S.C.R., Singh, S.N., Ingham, D.B.: The steady flow due to a rotating sphere at low and moderate Reynolds numbers. J. Fluid Mech. 101, 257–279 (1980)
Sawatzki, O.: Strömungsfeld um eine rotierende Kugel. Acta Mech. 9, 159–214 (1970)
Tang, L., Wen, F., Yang, Y., Crowe, C.T., Chung, J.N., Troutt, T.R.: Self-organizing particle dispersion mechanism in free shear flows. Phys. Fluids A4, 2244–2251 (1992)
Prahl, L., Hölzer, A., Arlov, D., Revstedt, J., Sommerfeld, M., Fuchs, L.: On the interaction between two fixed spherical particles. Int. J. Multiphase Flow 33, 707–725 (2007)
Michaelides, E.E.: Particles, Bubbles & Drops: Their Motion, Heat and Mass Transfer. World Scientific Publishing, Singapore (2006)
Richardson, J.F., Zaki, W.N.: Sedimentation and fluidisation: part I. Trans. Inst. Chem. Eng. 32, 35–53 (1954)
Di Felice, R.: The voidage function for fluid-particle interaction systems. Int. J. Multiphase Flow 29, 153–159 (1994)
Wen, C.Y., Yu, Y.H.: Mechanics of fluidisation. AICHE J. 62, 100–111 (1966)
Beetstra, R., van der Hoef, M.A., Kuipers, J.A.M.: Drag force of intermediate Reynolds number flow past mono- and bidisperse arrays of spheres. AICHE J. 53, 489–501 (2007)
Ergun, S.: Fluid flow through packed columns. Chem. Eng. Sci. 48, 89–98 (1952)
Schmalfuß, S., Sommerfeld, M.: Numerical and experimental analysis of fluid phase resonance mixers. Chem. Eng. Sci. 173, 570–577 (2017)
Schmalfuß, S., Sommerfeld, M.: Importance of the different fluid forces on particle dispersion in fluid-phase resonance mixers. In: 12th International Conference on CFD in Oil & Gas, Metallurgical and Process Industries, SINTEF, Trondheim, Norway, 30.05 – 01.06 (2017)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Section Editor information
Rights and permissions
Copyright information
© 2019 Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature
About this chapter
Cite this chapter
Sommerfeld, M. (2019). L3.1 Bewegung fester Partikel in Gasen und Flüssigkeiten. In: Stephan, P., Kabelac, S., Kind, M., Mewes, D., Schaber, K., Wetzel, T. (eds) VDI-Wärmeatlas. Springer Reference Technik(). Springer Vieweg, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-52989-8_88
Download citation
DOI: https://doi.org/10.1007/978-3-662-52989-8_88
Published:
Publisher Name: Springer Vieweg, Berlin, Heidelberg
Print ISBN: 978-3-662-52988-1
Online ISBN: 978-3-662-52989-8
eBook Packages: Computer Science and Engineering (German Language)