Optimization design of head structure of fuel/lubricating-oil micro-channel heat exchanger
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摘要:
针对燃/滑油微小通道换热器的侧入式封头结构的流动特性开展研究,基于非支配排序遗传算法(NSGA-Ⅱ)构建了4个几何约束和2个目标函数优化模型,研究封头壳体形状、导流板位置、导流板俯仰角以及导流孔径大小对于封头内流量分配特性和压损的影响。建立样本空间,并基于响应面法建立几何约束与目标函数之间的函数关系;采用NSGA-Ⅱ算法展开全局搜索,得到不同工况的Pareto前沿和最优解候选点;对比分析候选点的综合特性,筛选出最佳结构。研究发现:压低封头结构纵深可以有效地抑制涡流、降低压损,添加导流结构可以改善流量分配特性,但会增加压损;封头结构参数对流量分配特性和压损的影响高于流速的影响,通过优化设计筛选了2种封头结构,对于不同工况都具有较好的适用性。
Abstract:The flow characteristics of side-entry head structure of fuel/lubricating-oil micro-channel heat exchanger were studied. Four geometric constraints and two objective function optimization models were constructed based on non-dominated sorting genetic algorithm (NSGA-Ⅱ). The effects of the shape of the head shell, the position and pitch of the baffle and the size of baffle aperture on the flow distribution characteristics and pressure loss in the header were studied. Firstly, the sample space was built, and the functional relationship between the geometric constraints and the objective function was established based on the response surface method. Then, the NSGA-Ⅱ was used to carry out a global search, and the Pareto front and optimal solution candidate points of different working conditions were obtained. Finally, the comprehensive characteristics of the candidate points were compared and analyzed to screen out the optimal structure. The results showed that the pressure loss can be effectively suppressed by lowering the header depth, and the flow distribution characteristics can be greatly improved by adding diversion structure, but at the expense of increasing the pressure loss. The effects of header structure parameters on flow distribution characteristics and pressure loss were higher than flow velocity. Two header structures were screened through multi-objective optimized design, showing good applicability to different working conditions.
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表 1 工质热物性多项式
Table 1. Thermal property polynomial of working medium
系数 比定压热容
cp/(J/(kg·K))密度
ρ/(kg/m3)动力黏度
μ/(Pa·s)导热系数
λ/(W/(m·K))p1 0 0 −2.64×10−15 0 p2 0 0 6.34×10−12 0 p3 −7.93×10−5 −2.29×10−6 −6.09×10−9 1.058×10−9 p4 0.1133 0.002412 2.92×10−6 −1.54×10−6 p5 −46.67 −1.832 −7.03×10−4 5.08×10−4 p6 8085 1184 0.06847 0.08895 标准差 0.9999 0.9999 0.9987 0.9999 表 2 几何约束参数
Table 2. Parameter of geometric constraint
几何约束项目 参数范围 壳体结构N [0, 7] 俯仰角θ/(°) [0, 180] 相对位置D/mm [0, 12] 导流孔直径Φ/mm [0.5, 2.5] 表 3 样本空间
Table 3. Sampling space
序号 结构参数 序号 结构参数 Φ/mm D/mm N θ/(°) Φ/mm D/mm N θ/(°) 1 1.44 1.18 5.67 34.2 26 1.88 4.3 3.71 84.6 2 1.6 7.18 1.75 48.6 27 2.04 4.54 6.79 81.0 3 1.92 7.42 0.07 91.8 28 2.16 1.66 2.59 160.2 4 1.96 7.9 6.51 156.6 29 2.48 5.74 4.55 135.0 5 0.6 2.62 1.33 120.6 30 0.8 5.02 5.25 9.0 6 2.36 4.06 4.69 30.6 31 1.56 11.5 1.19 142.2 7 1.28 6.7 4.41 59.4 32 1.8 11.02 0.77 27.0 8 2.4 9.82 1.89 77.4 33 1.76 11.98 3.99 55.8 9 1.16 3.58 2.17 174.6 34 1.72 7.66 6.37 16.2 10 0.92 10.06 0.63 73.8 35 1.68 8.38 3.15 117.0 11 1.36 2.38 0.35 45.0 36 0.56 3.1 4.83 88.2 12 0.76 5.98 0.91 23.4 37 2.08 9.1 3.57 5.4 13 1.12 4.78 2.31 99.0 38 2.24 0.7 4.97 95.4 14 0.96 11.74 3.85 109.8 39 1.24 0.22 3.43 124.2 15 1.32 5.5 5.11 131.4 40 2.44 3.82 1.47 102.6 16 2.32 9.58 5.81 66.6 41 1.52 3.34 3.01 1.8 17 2.28 5.26 1.05 19.8 42 1 10.3 2.87 12.6 18 1.48 10.78 6.23 106.2 43 1.2 1.42 6.65 113.4 19 0.52 8.14 3.29 63.0 44 1.04 6.22 6.93 70.2 20 0.64 8.62 2.45 153.0 45 1.84 2.14 5.53 171.0 21 1.08 6.46 0.21 149.4 46 0.72 2.86 5.39 167.4 22 1.64 1.9 0.49 127.8 47 2 0.46 2.03 52.2 23 2.2 11.26 4.13 145.8 48 1.4 9.34 4.27 178.2 24 0.84 0.94 2.73 37.8 49 0.88 10.54 5.95 41.4 25 2.12 6.94 1.61 163.8 50 0.68 8.86 6.09 138.6 表 4 候选点集
Table 4. Candidate set
类型 几何约束 计算结果 工况 候选点 Φ/mm D/mm N/mm θ/(°) pcost/Pa Sv/(m/s) 1
(0.21 m/s)1 2.499 11.965 1.457 116.39 17.86 0.0038 2 2.498 11.866 1.487 118.2 17.9 0.0037 3 2.496 11.864 1.446 117.48 17.95 0.0037 2
(0.41 m/s)4 0.700 0.132 3.157 117.88 42.443 0.0151 5 0.693 0.164 3.193 117.67 42.602 0.0150 6 0.703 0.115 3.179 118.41 42.931 0.0150 3
(0.62 m/s)7 2.492 1.845 4.456 45.169 57.846 0.0366 8 2.498 2.286 4.577 45.169 58.035 0.0364 9 2.499 2.125 4.495 45.169 58.011 0.0367 4
(0.83 m/s)10 2.499 12.048 0.372 119.47 97.475 0.042 11 2.498 12.067 0.341 120.32 98.073 0.0417 12 2.496 12.082 0.346 117.78 98.782 0.0419 5
(1.03 m/s)13 0.535 0.141 6.990 109.69 230.29 0.0264 14 0.562 0.127 6.979 109.40 227.97 0.0278 15 0.526 0.149 6.982 110.58 235.52 0.0246 表 5 不均匀度降低比例
Table 5. Reduction ratio of unevenness reduction
% 类别 不均匀度降低 工况1 工况2 工况3 工况4 工况5 Pareto-2 11.91 13.59 14.44 15.34 15.85 Pareto-5 15.66 19.99 22.44 24.10 24.92 Pareto-8 18.48 22.44 24.41 26.13 27.30 Pareto-11 16.16 18.11 19.04 19.96 20.59 Pareto-15 24.45 23.33 22.51 22.50 22.29 表 6 压损增加比例
Table 6. Increase ratio of pressure loss
% 类别 压损增加 工况1 工况2 工况3 工况4 工况5 Pareto-2 16.52 19.16 20.75 21.81 22.28 Pareto-5 3.48 2.44 1.53 0.84 0.15 Pareto-8 4.78 3.25 2.38 1.43 0.59 Pareto-11 30.43 37.99 42.60 45.62 47.49 Pareto-15 0.87 −0.16 −0.77 −1.11 −1.36 -
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