Performance estimation method and scale-up method for particle size breakup apparatus of a rotor-stator type

摘要

A comprehensive mixer performance estimation method that can be applied to each of the mixers of the rotor-stator type having the various configurations and circulation modes is provided. In accordance with the mixer performance estimation method of the present invention, the total energy dissipation rate εa for the mixers of the rotor-stator type may be obtained, the respective sizes of the rotor-stator and the powers and flow rates during the mixer's running time may be measured, the magnitude of the values for the configuration dependent term for the entire mixer that are specific to each of the mixers and are obtained by measuring the size of the rotor-stator and the powers and flow rates during the mixer's running time may be estimated, and the mixer's performance may be estimated.

主权项

1. A method for estimating the performance of a mixer of a rotor-stator type, wherein the method includes the steps of:
obtaining a total energy dissipation rate εa by using the Equation 1 given below; measuring a size of the mixer and the power and flow rate during the mixer's running time which are components included in the Equation 1; estimating a magnitude of values for the entire mixer that are specific to each of plural mixers and are obtained in the measuring step; and estimating the performance of the mixer:ɛa=⁢ɛg+ɛs=⁢[(Np-Nq⁢⁢d⁢π2)·nr]⁢{D3[(D3⁢bδ⁡(D+δ))+⁢π2⁢ns2⁢d3⁡(d+4⁢l)4⁢Nqd⁡[ns·d2+4⁢δ⁡(D+δ)]]}⁢(N4·tmV)=⁢[(Np-Nq⁢⁢d⁢π2)·nr]·[D3⁡(Kg+Ks)]·(N4·tmV)=⁢Kc·(N4·tmV)Equation⁢⁢1 In the Equation 1, εa: Total energy dissipation rate (m2/s3) εg: Local shear stress in the gap between the rotor and stator (m2/s3) εs: Local energy dissipation rate in the stator (m2/s3) Np: Number of powers (−) Nqd: Number of flow rates (−) nr: Number of rotor blades (−) D: Diameter of rotor (m) b: Thickness of rotor blade tip (m) δ: Gap between rotor and stator (m) ns: Number of stator holes (−) d: Diameter of stator hole (m) l: Thickness of stator (m) N: Number of rotations (l/s) tm: Mixing time (s) V: Flow rate (m3) Kg: Configuration dependent term (m2) Ks Configuration dependent term in stator (m2) Kc: Configuration dependent term for the entire mixer.