Abstract
The profile curve design method and the mathematical model of conjugate surfaces of twin-screw kneader used for high viscosity material mixing, transportation and malaxating are established according to the principle of gear engagement. A novel twin-screw kneader and the equations of the profile curves of the rotors as well as the rotor design are proposed. The working principles of the twin screw kneader are analyzed and numerical simulations for dynamic characteristics of the flow field are carried out Three-dimensional, isothermal and steady state numerical analysis of a non-Newtonian fluid are presented, based on computational fluid dynamics (CFD) theory, and the characteristics under the conditions of different speeds and center distances are studied, such as pressure distributions, velocity fields, the maximum shear stresses and the mass flow rates. The results provide a theoretical basis for performance predictions and reasonable design for the novel twin-screw kneader.
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Abbreviations
- σ a :
-
fixed frame of the female rotor
- σ b :
-
fixed frame of the male rotor
- σ f :
-
moving frame of the female rotor
- σ m :
-
moving frame of the male rotor
- x f , y f :
-
coordinates at the end cross section of the female rotor
- x’ f , y f :
-
first order derivative at the end cross section of the female rotor
- A :
-
distance between female and male rotor
- φ f :
-
rotation angle of female rotor
- i mf :
-
teeth number ratio between female and male rotor
- Z f :
-
female tooth number
- Z m :
-
male tooth number
- k mf :
-
a coefficient, and k mf = 1+i mf
- τ f :
-
angle variable of the female rotor
- x m , y m :
-
coordinates at the end cross section of the male rotor
- x’ m , y’ m :
-
first order derivative at the end cross section of the male rotor
- φ m :
-
rotation angle of the male rotor
- i fm :
-
tooth ratio between male and female rotor
- k fm :
-
a coefficient, and k fm = 1 + i fm
- τ m :
-
angle variable of the male rotor
- u f :
-
variable of profiles at end cross section of the female rotor
- P f :
-
screw parameter of the female rotor
- H f :
-
lead length of the female rotor
- u m :
-
variable of profiles at the end cross section of the male rotor
- u 1 :
-
left boundary of parameter
- u 2 :
-
right boundary of parameter
- n :
-
index of power law
- η :
-
apparent viscosity, Pa·s
- τ :
-
shear stress
- \(\dot \gamma \) :
-
rate of shear
- ρ :
-
density of material
- ∇:
-
Hamiltonian operator
- u :
-
velocity vector
- p :
-
static pressure
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Wei, J., Sun, Q., Sun, X. et al. A study on rotor profiles design for a novel twin-screw kneader. Int. J. Precis. Eng. Manuf. 14, 451–459 (2013). https://doi.org/10.1007/s12541-013-0061-7
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DOI: https://doi.org/10.1007/s12541-013-0061-7