Abstract
This paper presents laser measurements of particle velocities in a horizontal turbulent two-phase pipe flow. A phase Doppler particle analyzer, (PDPA), was used to obtain particle size, velocity, and rms values of velocity fluctuations. The particulate phase consisted of glass spheres 50 μm in diameter with the volume fraction of the suspension in the range φ p=10-4 to φ p=10-3. The results show that the turbulence increases with particle loading.
Similar content being viewed by others
Abbreviations
- a :
-
particle diameter
- C va :
-
velocity diameter cross-correlation
- d :
-
pipe diameter
- Fr 2 :
-
Froude number
- g :
-
gravitational constant
- ∂p(a) :
-
Probability density of the particle diameter
- Reτ :
-
pipe Reynolds number based on the friction velocity
- T :
-
characteristic time scale of the energy containing eddies
- T L :
-
integral scale of the turbulence sampled along the particle path
- u′, U, uτ :
-
characteristic fluid velocities: fluctuating, mean and friction
- v′ :
-
characteristic velocity of the paricle fluctuations
- 〈f〉:
-
expected value of any random variable f
- 〈f¦g〉:
-
expected value of f given a value of the random variable g
- φ p :
-
particle volume fraction
- τ p :
-
particle response time
- μ :
-
absolute fluid viscosity
- v :
-
kinematic fluid viscosity
- ρ p, ρf :
-
densities, particle and fluid
- σ 2 a :
-
particle diameter variance
- σ 2 va :
-
velocity variance due to the particle diameter variance
- σ 2 vT :
-
total particle velocity variance
- σ 2 vt :
-
particle velocity variance due to the response to the turbulent field
References
Bachalo, W. D.; Houser, M. J. 1984: Development of the phase/ Doppler spray analyzer for liquid drop size and velocity characterizations. 20th Joint Propulsion Conference, AIAA/SAE/ ASME, Cincinnati OH, AIAA Paper 84-1199
Boothroyd, R. G. 1967: Turbulene characteristics of the gaseous phase in duct flow of a suspension of fine particles. Trans. Inst. Chem. Eng. 45, 297 - 310
Carlson, C. R.; Peskin, R. L. 1975: One dimensional particle velocity probability densities measured in turbulent gas-particle duct flow. Int. J. Multiphase Flow 2, 67 - 78
Chao, B. T. 1964: Turbulent transport behavior of small particles in dilute suspension. Oesterr. Ing.-Arch. 8, 7 - 22
Durst, F. 1982: Combined measurements of particle velocities, size distributions, and concentrations. Trans. ASME 104, 284 - 297
Durst, F.; Zaré, M. 1975: Laser-doppler measurements in two-phase flows. LDA Symposium, University of Denmark
Elghobashi, S.; Abou-Arab, T.; Rizk, M.; Mostafa, A. 1984: Prediction of the particle-laden jet with a two-equation turbulence model. Int. J. Multiphase Flow 10, 697 - 710
Genchev, Zh. D.; Karpazov, P. S. 1980: Effects of the motion of dust particles on turbulence transport equations. J. Fluid Mech. 101, 833 - 842
Lawn, C. J. 1971: The determination of the rate of dissipation in Turbulent pipe flows. J. Fluid Mech. 48, 477 - 505
Lee, S. L.; Durst, F. 1982: On the motion of particles in turbulent duct flows. Int. J. Multiphase Flow 8, 125 - 146
Lee, S. L.; Srinivasan, J. 1982: An LDA technique for in situ simultaneous velocity and size measurements of large spherical particles in a two-phase suspension flow. Int. J. Multiphase Flow 18, 47 - 57
Owen, P. R. 1969: Pneumatic transport. J. Fluid Mech. 39, 407 - 432
Papoulis, A. 1984: Probability random variables and stochastic processes. New York: McGraw Hill
Pfeffer, R.; Rossetti, S. J. 1971: Experimental determination of pressure drop and flow characteristics of dilute gas-solid suspensions. NASA CR-1894
Saffman, P. G. 1962: On the stability of laminar flow of a dusty gas. J. Fluid Mech. 13, 120 - 128
Snyder, W. H.; Lumley, J. L. 1971: Some measurements of particle velocity autocorrelation functions in turbulent flow. J. Fluid Mech. 48, 41 - 71
Soo, S. L. 1982: State of multiple instrumentation. Dev. Theor. Appl. Mech. 11, 563 - 576
Soo, S. L. 1987: Fundamentals of multiphase fluid dynamics: Preliminary edn. Urbana/IL: S. L. Soo and G.
Soo, S. L.; Ihrig, H. K.; Kouh, A. F. 1960: Experimental determination of statistical properties of two-phase turbulent motion. J. Basic Eng. 82, 609 - 621
Steimke, J. L.; Dukler, A. E. 1983: Laser doppler velocimeter measurements of aerosols in turbulent pipe flows. Int. J. Multiphase Flow 9, 751 - 754
Tennekes, H.; Lumley, J. L. 1972: A first course in turbulence. Cambridge/MA: MIT Press
Tsuji, Y.; Morikawa, Y. 1982: LDV measurements of an air-solid two-phase flow in a horizontal pipe. J. Fluid Mech. 20, 385 - 409
Tsuji, Y.; Morikawa, Y; Shiomi, H. 1984: LDV measurements of an air-solid two-phase flow in a vertical pipe. J. Fluid Mech. 139, 417 - 434
Wells, M. R.; Stock, D. E. 1983: The effect of crossing trajectories on the dispersion of particles in a turbulent flow. J. Fluid Mech. 136, 31 - 42
Yianneskis, M.; Whitelaw, J. H. 1984: Velocity characteristics of pipe and jet flows with high particle concentration. Paper presented at Energy Sources Technology Conference, New Orleans (ASME fluids Eng. Conf.) Trans. ASME 13, 12–15
Zisselmar, R.; Molerus, O. 1979: Investigation of solid-liquid pipe flow with regard to turbulence modification. Chem. Eng. J. 18, 223 - 239
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Liljegren, L.M., Vlachos, N.S. Laser velocimetry measurements in a horizontal gas-solid pipe flow. Experiments in Fluids 9, 205–212 (1990). https://doi.org/10.1007/BF00190420
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00190420