The 3-D numerical computation of the flow and temperature fields for jet array impingement with initial crossflow investigates the effects of the jet-to-surface spacing, the impinging hole arrangement and the jet-to-c...The 3-D numerical computation of the flow and temperature fields for jet array impingement with initial crossflow investigates the effects of the jet-to-surface spacing, the impinging hole arrangement and the jet-to-crossflow mass flux ratio on heat transfer characteristics. The study shows that: (1) under the different jet-to-surface spacing, the impingement cooling with inline arrangement is better than that with staggered arrangement for a given jet-to-crossflow mass flux ratio;( 2 ) the value of jet-to-surface spacing impacts a complicated effect on the flow and heat transfer for jet array impingement; (3) as the ratio of crossflow-to-jet mass flux ratio increases, the cooling effectiveness on monotonous decrease for both inline and staggered arrangements at the same jet-to-surface spacing.展开更多
In this paper, we use entangled states to construct 9 × 9-matrix representations of Temperley-Lieb algebra (TLA ), then a family of 9 × 9-matrix representations of Birman-Wenzl-Murakami algebra (t3 WMA )...In this paper, we use entangled states to construct 9 × 9-matrix representations of Temperley-Lieb algebra (TLA ), then a family of 9 × 9-matrix representations of Birman-Wenzl-Murakami algebra (t3 WMA ) have been presented. Based on which, three topological basis states have been found. And we apply topological basis states to recast ninedimensional BWMA into its three-dimensional counterpart. Finally, we find the topological basis states are spin singlet states in special ease.展开更多
文摘The 3-D numerical computation of the flow and temperature fields for jet array impingement with initial crossflow investigates the effects of the jet-to-surface spacing, the impinging hole arrangement and the jet-to-crossflow mass flux ratio on heat transfer characteristics. The study shows that: (1) under the different jet-to-surface spacing, the impingement cooling with inline arrangement is better than that with staggered arrangement for a given jet-to-crossflow mass flux ratio;( 2 ) the value of jet-to-surface spacing impacts a complicated effect on the flow and heat transfer for jet array impingement; (3) as the ratio of crossflow-to-jet mass flux ratio increases, the cooling effectiveness on monotonous decrease for both inline and staggered arrangements at the same jet-to-surface spacing.
基金Supported by National Natural Science Foundation of China under Grant No. 10875026
文摘In this paper, we use entangled states to construct 9 × 9-matrix representations of Temperley-Lieb algebra (TLA ), then a family of 9 × 9-matrix representations of Birman-Wenzl-Murakami algebra (t3 WMA ) have been presented. Based on which, three topological basis states have been found. And we apply topological basis states to recast ninedimensional BWMA into its three-dimensional counterpart. Finally, we find the topological basis states are spin singlet states in special ease.