Abstract
The stability equation of interface of two-phase jet and the corresponding particle gas disturbance velocity ratio equation are derived by means of the phase-coupled model. The stability curves of interface of two-phase jet far different particle properties and the corresponding particle-gas disturbance velocity ratio curves are given out through numerical computation. Further, several important conclusions on effect of particle property on growth and propagation of disturbance of interface of two-phase jet and particle disturbance property are presented on the basis of analyses of the obtained stability curves and particle-gas disturbance velocity ratio curves. These important conclusions can play a guiding role in studying development of two-phase jet and executing artificial controls over it in project practice.
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Abbreviations
- α s :
-
particle volume fraction
- μ g :
-
gas instantaneous velocity vector
- μ :
-
particle instantaneous velocity vector
- U :
-
mean axial velocity of two-phase jet
- U 0 :
-
x-axial velocity of the exit, characteristic velocity of flow-field
- p :
-
instantaneous flow-field pressure
- −P :
-
mean flow-field pressure
- p′:
-
disturbance flow-field pressure
- Gr g :
-
gas density
- ρ s :
-
particle density
- Φ g :
-
gas instantaneous velocity potential function
- Φ s :
-
particle instantaneous velocity potential function
- −Φ :
-
mean velocity potential function of flow-field
- Φ′g :
-
gas disturbance velocity potential function
- Φ′s :
-
panicle disturbance velocity potential function
- α :
-
real number of disturbance
- n :
-
asymmetric order of disturbance
- C :
-
complex frequency of disturbance
- Gc :
-
x-coordinate
- r :
-
r-coordinate
- ϕ :
-
ϕ-coordinate
- R 0 :
-
pipe radius, characteristic length of flow-field
- N l :
-
particle existence coefficient
- T 0 :
-
characteristic time of flow-field
- P i :
-
mass percentage of particle groupi
- d i :
-
diameter of particle groupi
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CLC number: 0359
Document code: A
Paper from Lin Razhong, Member of Editorial Committee, AMM
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Zexuan, Z., Keat, T.S. & Jianzhong, L. Research on stability of interface of jet containing suspended solid particles. Appl Math Mech 21, 741–746 (2000). https://doi.org/10.1007/BF02428370
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DOI: https://doi.org/10.1007/BF02428370