Let P and AC be two primary sequences with min{P, AC} RLR<sup>∞</sup>,ρ(P) and p(AC) be the eigenvalues of P and AC, respectively. Let f ∈ C<sup>0</sup>(I, I) be a unimodal expanding m...Let P and AC be two primary sequences with min{P, AC} RLR<sup>∞</sup>,ρ(P) and p(AC) be the eigenvalues of P and AC, respectively. Let f ∈ C<sup>0</sup>(I, I) be a unimodal expanding map with expanding constant λ and m be a nonegative integer. It is proved that f has the kneading sequence K(f) (RC)<sup>*m</sup> * P if λ (ρ(P))<sup>1/2<sup>m</sup></sup>, and K(f)】(RC)<sup>*m</sup> * AC * E for any shift maximal sequence E if λ】(ρ(AC))<sup>1/2<sup>m</sup></sup>. The value of (ρ(P))<sup>1/2<sup>m</sup></sup> or (ρ(AC))<sup>1/2<sup>m</sup></sup> is the best possible in the sense that the related conclusion may not be true if it is replaced by any smaller one.展开更多
The effect of kneading clearance on the mixing performance of vertical kneading mixers was investigated by using the CFD methods.Firstly,the mixing field in the kneading tank was simulated numerically after analyzing ...The effect of kneading clearance on the mixing performance of vertical kneading mixers was investigated by using the CFD methods.Firstly,the mixing field in the kneading tank was simulated numerically after analyzing the movement of mixer blade and the rheological properties of the material.Next,some macro mixing performance evaluation indices of the device were proposed.Lastly,the effect of kneading clearance on mixing performance was studied.The results indicated that a small kneading clearance could improve the mixing performance of vertical kneading mixers and better kneading efficiency could be achieved with a uniform kneading clearance.展开更多
基金Project supported by the National Natural Science Foundation of China
文摘Let P and AC be two primary sequences with min{P, AC} RLR<sup>∞</sup>,ρ(P) and p(AC) be the eigenvalues of P and AC, respectively. Let f ∈ C<sup>0</sup>(I, I) be a unimodal expanding map with expanding constant λ and m be a nonegative integer. It is proved that f has the kneading sequence K(f) (RC)<sup>*m</sup> * P if λ (ρ(P))<sup>1/2<sup>m</sup></sup>, and K(f)】(RC)<sup>*m</sup> * AC * E for any shift maximal sequence E if λ】(ρ(AC))<sup>1/2<sup>m</sup></sup>. The value of (ρ(P))<sup>1/2<sup>m</sup></sup> or (ρ(AC))<sup>1/2<sup>m</sup></sup> is the best possible in the sense that the related conclusion may not be true if it is replaced by any smaller one.
文摘The effect of kneading clearance on the mixing performance of vertical kneading mixers was investigated by using the CFD methods.Firstly,the mixing field in the kneading tank was simulated numerically after analyzing the movement of mixer blade and the rheological properties of the material.Next,some macro mixing performance evaluation indices of the device were proposed.Lastly,the effect of kneading clearance on mixing performance was studied.The results indicated that a small kneading clearance could improve the mixing performance of vertical kneading mixers and better kneading efficiency could be achieved with a uniform kneading clearance.