Abstract
The effect of solid particles on the flow structure of a round air jet in a stagnant surrounding was investigated experimentally. Information on the averaged two-component velocities, the kinetic energies, and the u′ v′-properties were obtained for both phases by means of a monochromatic three beam laser Doppler anemometer. The particle number density was also measured by this system. Glass beads of 64 μm and 132 μm diameter were used for a constant mass loading ratio of 0.3 in a jet with a Reynolds number of 20 000. The lateral mean velocity and number density profiles were expressed by best fitting functions and several invariable coefficients were found. The standard drag force coefficient C D for a single particle was applicable for a dilute particle cloud even in a non-uniform air velocity field.
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Abbreviations
- a :
-
spreading coefficient of best fitting function
- C D :
-
Drag coefficient
- C m :
-
spreading coefficient
- D :
-
outlet diameter of tube
- d :
-
particle diameter
- d p :
-
mean particle diameter
- F :
-
interphase friction factor
- g :
-
acceleration due to gravity
- k :
-
kinetic energy
- L :
-
tube length
- M :
-
mass loading ratio
- m :
-
mass flow
- N :
-
number density
- n :
-
exponent of best fitting function
- P :
-
lateral pressure
- r :
-
radius
- Re :
-
air Reynolds number at the outlet
- Re p :
-
particle Reynolds number
- U :
-
axial mean velocity
- u′2 :
-
axial mean velocity fluctuation
- U 0 :
-
air velocity at the outlet
- u′υ′:
-
shear stress
- V :
-
lateral mean velocity
- υ′2 :
-
lateral mean velocity fluctuation
- υsp :
-
volume of a single particle
- W :
-
relative velocity between air and particle
- w′ 2 :
-
tangential mean velocity fluctuation
- X :
-
coordinate in axial direction
- y :
-
coordinate in lateral direction
- η:
-
dimensionless coordinate
- νa :
-
kinematic viscosity
- v t :
-
turbulent viscosity
- ϱ:
-
density
- φ:
-
volume fraction
- ψ:
-
stream function
- a :
-
air phase
- c :
-
centerline
- ca :
-
center line air phase
- cp :
-
center line particle phase
- n :
-
number density
- p :
-
particle phase
- x :
-
axial direction
- y :
-
lateral direction
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Fleckhaus, D., Hishida, K. & Maeda, M. Effect of laden solid particles on the turbulent flow structure of a round free jet. Exp. Fluids 5, 323–333 (1987). https://doi.org/10.1007/BF00277711
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DOI: https://doi.org/10.1007/BF00277711