逆流:C_h=1000,C_c=1500,U=500,A=10 → C*=0.6667,NTU=5,ε≈0.928 逆流。C_min=1000(热侧),C_max=1500(冷侧),C*=0.6667。NTU=U·A/C_min=500·10/1000=5。ε=[1-exp(-5·(1-0.6667))]/[1-0.6667·exp(-5·(1-0.6667))]≈0.928(以代码为准)。{"result":"Heat exchanger ε-NTU (counter flow). C_h=1000 W/K, C_c=1500 W/K → C_min=1000, C_max=1500, C*=0.6667. U=500 W/(m²·K), A=10 m² → NTU=5. ε=0.928.","metadata":{"input":{"exchangerType":"counter","hotCapacityRate":1000,"coldCapacityRate":1500,"overallU":500,"area":10},"result":{"effectiveness":0.928,"NTU":5,"C_min":1000,"C_max":1500,"C_star":0.6667,"exchangerType":"counter","qMax_W":null,"qActual_W":null,"inletTempDiff_K":null,"hotOutletTemp":null,"coldOutletTemp":null,"tempUnit":null,"overallHeatTransferCoeff":500,"area_m2":10}}}
叉流(含进口温度):C_h=2000,C_c=2000(C*=1),U=400,A=8,T_h,in=120°C,T_c,in=30°C → NTU=1.6,ε、q、出口温度 叉流(不混合)。C_min=C_max=2000,C*=1。NTU=U·A/C_min=400·8/2000=1.6。ε=1-exp{(1.6^0.22/1)·[exp(-1·1.6^0.78)-1]}(以代码为准)。给定 T_h,in=120°C,T_c,in=30°C:q_max=C_min·(120-30)=180000 W,q=ε·q_max,T_h_out=120-q/C_h,T_c_out=30+q/C_c。{"result":"Heat exchanger ε-NTU (crossflow (unmixed)). C_h=2000 W/K, C_c=2000 W/K → C_min=2000, C_max=2000, C*=1. U=400 W/(m²·K), A=8 m² → NTU=1.6. ε=0.5713. ΔT_in=90 K → q_max=180000 W, q=ε·q_max=102829.4725 W. T_h,out=68.5853 °C, T_c,out=81.4147 °C.","metadata":{"input":{"exchangerType":"crossflow","hotCapacityRate":2000,"coldCapacityRate":2000,"overallU":400,"area":8,"hotInletTemp":120,"coldInletTemp":30,"tempUnit":"°C"},"result":{"effectiveness":0.5713,"NTU":1.6,"C_min":2000,"C_max":2000,"C_star":1,"exchangerType":"crossflow","qMax_W":180000,"qActual_W":102829.4725,"inletTempDiff_K":90,"hotOutletTemp":68.5853,"coldOutletTemp":81.4147,"tempUnit":"°C","overallHeatTransferCoeff":400,"area_m2":8}}}