离心超重力环境下流体中物体浮力与运动

赵天浩,郑建靖,凌靖华,施昌宇,凌道盛

Buoyancy and motion of objects in fluid in centrifugal hypergravity environment

Tian-hao ZHAO,Jian-jing ZHENG,Jing-hua LING,Chang-yu SHI,Dao-sheng LING

表 1 不同Re下CD的表达式

Tab.1 CD expression under different Re

Re CD的表达式 Re < 0.01 ${C_{\rm{D}}} = 1/16+24/{Re}$ 0.01＜ Re ≤20 ${C_{\rm{D} } } = \dfrac{ {24} }{ { {Re} } }(1+0.131 \;5{ {Re} ^{0.82 - 0.05B} })$ 20 ≤ Re ≤ 260 ${C_{\rm{D}}} = \dfrac{ {24} }{ { {Re} } }(1+0.193 \;5{ {Re} ^{0.630 \;5} })$ 260 ≤ Re ≤ 1500 $\lg {C_{\rm{D}}} = 1.643 \;5 - 0.124 \;2B+0.155 \;8{B^2}$ 1.5×103＜Re≤1.2×104 $\begin{gathered} \lg {C_{\rm{D} } } = - 2.457 \;1+2.555 \;8B - 0.929 \;5{B^2}+ \\ {\text{ } }0.104 \;9{B^3} \\ \end{gathered}$ 1.2×104＜Re≤4.4×104 $\lg {C_{\rm{D}}} = - 1.918 \;1+0.637 \;0B - 0.063 \;6{B^2}$ 4.4×104＜Re≤3.38×105 $\lg {C_{\rm{D}}} = - 4.339 \;0+1.580 \;9B - 0.154 \;6{B^2}$ 3.38×105＜Re≤4×105 ${C_{\rm{D}}} = 29.78 - 5.3B$ 4×105＜Re≤106 ${C_{\rm{D}}} = 0.1B - 0.49$ Re > 10 6 ${C_{\rm{D} } } = 0.19 - { {8 \times { {10}^4} } }/{ { {Re} } }$