Suspensions in turbulent liquid pipe flow: Kinetic modelling and added mass effects

International Journal of Multiphase Flow

Volumn 35, Issue 11, 2009, Pages 1017-1035

  Skartlien, R ^a   Drazen, D ^b   Swailes, D C ^c   Jensen, A ^b  

^a INSTITUTE FOR ENERGY TECHNOLOGY   (Norway)

^b UNIVERSITY OF OSLO   (Norway)

^c NEWCASTLE UNIVERSITY   (United Kingdom)

Author keywords

Added mass; Kinetic theory; Particle continuum equations; Particle diffusivity; Turbulent suspensions; Virtual mass

Indexed keywords

ADDED MASS; PARTICLE CONTINUUM EQUATIONS; PARTICLE DIFFUSIVITY; TURBULENT SUSPENSIONS; VIRTUAL MASS;

DIFFUSION; FLOW MEASUREMENT; FLUID DYNAMICS; HYDRODYNAMICS; KINETIC THEORY; LIQUIDS; PIPE; POLYSTYRENES; REYNOLDS NUMBER; STRESS ANALYSIS; TRANSPORT PROPERTIES; TURBULENCE;

SUSPENSIONS (FLUIDS);

EID: 70349138399     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmultiphaseflow.2009.07.001     Document Type: Article

References (37)

1. Ahmed A.M., and Elghobashi S.E. On the mechanism of modifying the structure of turbulent homogeneous shear flows by dispersed particles. Phys. Fluids 12 (2000) 2906-2930
2. Auton T.R., Hunt J.C.R., and Prud'homme M. Force exerted on a body in inviscid unsteady non-uniform rotational flow. J. Fluid Mech. 197 (1988) 241-257
3. Batchelor G.K. An Introduction to Fluid Dynamics (1967), Cambridge University Press, Cambridge
4. Caraman N., Borée J., and Simonin O. Effect of collisions on the dispersed phase fluctuation in a dilute tube flow: experimental and theoretical analysis. Phys. Fluids 15 (2003) 3602-3612
5. Crowe C.T. On models for turbulence modulation in fluid-particle flows. Int. J. Multiphase Flow 26 (2000) 719-727
6. Drazen, D., Jensen A., 2007. Time-resolved combined PIV/PTV measurements of two-phase turbulent pipe flow. In: Proceeding of the 6th International Conference on Multiphase Flow, ICMF 2007, Leipzig, Germany, July 9-13, 2007.
7. Drazen, D., Jensen A., in preparation. Lagrangian measurements of two-phase pipe flow using combined PIV/PTV.
8. Elghobashi S.E., and Abou-Arab T.W. A two-equation model for two-phase flows. Phys. Fluids 26 (1983) 931-938
9. Ferrante A., and Elghobashi S.E. On the physical mechanisms of two-way coupling in particle-laden istotropic turbulence. Phys. Fluids 15 (2003) 315-329
10. Gore R.A., and Crowe C.T. Effect of particle size on modulating turbulent intensity. Int. J. Multiphase Flow 15 (1989) 279-285
11. Grad H. On the kinetic theory of rarefied gases. Commun. Pure Appl. Math. 2 (1949) 331-407
12. Hetsroni G. Particles-turbulence interaction, Int. J. Multiphase Flow 15 (1989) 735-746
13. Hyland K.E., McKee S., and Reeks M.W. Derivation of a pdf kinetic equation for the transport of particles in turbulent flows. J. Phys. A: Math. Gen. 32 (1999) 6169-6190
14. Jenkins J.T., and Richmann M.W. Grad's 13-moment system for a dense gas of inelastic spheres. Arch. Ration. Mech. Anal. 87 (1985) 355-377
15. Jensen A., and Pedersen G.K. Optimization of acceleration measurements using PIV. Meas. Sci. Technol. 15 (2004) 2275-2283
16. Johnson T.A., and Patel V.C. Flow past a sphere up to a Reynolds number of 300. J. Fluid Mech. 378 (1999) 19-70
17. Kataoka I., and Serizawa A. Basic equations of turbulence in gas-liquid two-phase flow. Int. J. Multiphase Flow 15 (1989) 843-855
18. Kenning V.M., and Crowe C.T. On the effect of particles on carrier phase turbulence in gas-particle flows. Int. J. Multiphase Flow 23 (1997) 403-408
19. Kiger K.T., and Pan C. PIV technique for the simultaneous measurement of dilute two-phase flows. J. Fluids Eng. 122 (2000) 811-818
20. Lightstone M.F., and Hodgson S.M. Turbulence modulation in gas-particle flows: a comparison of selected models. Can. J. Chem. Eng. 82 (2004) 209-219
21. Maxey M.R., and Riley J.J. Equation of motion for a small rigid sphere in a non-uniform flow. Phys. Fluids 26 (1983) 883-889
22. Pope S.B. A stochastic Lagrangian model for acceleration in turbulent flows. Phys. Fluids 14 (2002) 2360-2375
23. Poelma C., and Ooms G. Particle-turbulence interaction in a homogeneous, isotropic turbulent suspension. Trans. ASME 59 (2006) 78-90
24. Reeks M.W. On the continuum equations for dispersed particles in nonuniform flows. Phys. Fluids A 4 (1992) 1290-1303
25. Reeks M.W. On the constitutive relations for dispersed particles in nonuniform flows. 1: Dispersion in a simple shear flow. Phys. Fluids A 5 (1993) 750-761
26. Reeks M.W. On model equations for particle dispersion in inhomogeneous turbulence. Int. J. Multiphase Flow 31 (2005) 93-114
27. Sergeev Y.A., Johnson R.S., and Swailes D.C. Dilute suspension of high inertia particles in the turbulent flow near the wall. Phys. Fluids 14 (2002) 1042-1055
28. Sommerfeld M. Analysis of collision effects for turbulent gas-particle flow in a horizontal channel: Part1: Particle transport. Int. J. Multiphase Flow 29 (2003) 675-699
29. Simonin, 2000. Statistical and continuum modelling of turbulent reactive particulate flows - Lecture Notes Part 1.
30. Skartlien R. Kinetic modeling of particles in stratified flow - evaluation of dispersion tensors in inhomogeneous turbulence. Int. J. Multiphase Flow 33 (2007) 1006-1022
31. Skartlien, R., 2007b. Evaluation of a kinetic theory model for inertial particles in stratified turbulent flow - the influence of the Stokes number. In: Proceedings of the 6th International Conference on Multiphase Flow, ICMF 2007, Leipzig, Germany, July 9-13, 2007.
32. Skartlien R. A droplet transport model for channel and pipe flow based on particle kinetic theory and a stress-ω turbulence model. Int. J. Multiphase Flow 35 (2009) 603-616
33. Swailes D.C., Sergeev Y.A., and Parker A. Chapman-Enskog closure approximation in the kinetic theory of dilute turbulent gas-particulate suspensions. Physica A 254 (1998) 517-547
34. Wang Y., Komori S., and Chung K.K. A two-fluid turbulence model for gas-solid two-phase flows. J. Chem. Eng. Jpn. 30 (1997) 3, 526-53
35. Wu Y., Wang H., Liu Z., Li J., Zhang L., and Zheng C. Experimental investigation on turbulence modification in horizontal channel flow at relatively low mass loading. Acta Mech. Sinica 22 (2006) 99-108
36. Young J., and Leeming A. A theory of particle deposition in turbulent pipe flow. J. Fluid Mech. 340 (1997) 129-159
37. Zaichik L.I., and Alipchenkov V.M. Statistical models for predicting particle dispersion and preferential concentration in turbulent flows. Int. J. Heat Fluid Flow 26 (2005) 416-430