三层平壁(对流+导热+对流):R=[0.02,0.5,0.01] K/W,A=1 m² → R_total=0.53,U=1.8868 W/(m²·K) 三个串联热阻 R=[0.02, 0.5, 0.01] K/W(各阻值已含面积因子,如两侧对流层 R_conv=1/(h·A) 包夹导热层 R_cond=d/(k·A)),面积 A=1 m²。R_total=ΣR=0.53 K/W。G=1/R_total=1.8868 W/K。U=1/(R_total·A)=1/(0.53·1)=1.8868 W/(m²·K)。未给 ΔT,故不计算 Q。{"result":"Overall heat transfer coefficient (1/U=ΣR).R_total = 0.53 K/W (n=3), G = 1.8868 W/K, U = 1.8868 W/(m²·K) at A=1 m².","metadata":{"input":{"resistances":"0.02\n0.5\n0.01","area":1,"tempUnit":"K"},"result":{"totalResistance_K_W":0.53,"thermalConductance_W_K":1.8868,"overallHeatTransferCoeff_W_m2_K":1.8868,"resistanceCount":3,"individualResistances_K_W":[0.02,0.5,0.01],"area_m2":1,"heatFlowRate_W":null,"temperatureDiff_K":null}}}
含 ΔT:R=[0.01,0.1,0.01] K/W,A=2 m²,ΔT=50 K → R_total=0.12,U=4.1667 W/(m²·K),Q=416.6667 W 三个串联热阻 R=[0.01, 0.1, 0.01] K/W,面积 A=2 m²,温差 ΔT=50 K。R_total=ΣR=0.12 K/W。G=1/R_total=8.3333 W/K。U=1/(R_total·A)=1/(0.12·2)=4.1667 W/(m²·K)。Q=ΔT/R_total=50/0.12=416.6667 W。{"result":"Overall heat transfer coefficient (1/U=ΣR).R_total = 0.12 K/W (n=3), G = 8.3333 W/K, U = 4.1667 W/(m²·K) at A=2 m². Q = 416.6667 W at ΔT=50 K.","metadata":{"input":{"resistances":"0.01\n0.1\n0.01","area":2,"tempUnit":"K","temperatureDiff":50},"result":{"totalResistance_K_W":0.12,"thermalConductance_W_K":8.3333,"overallHeatTransferCoeff_W_m2_K":4.1667,"resistanceCount":3,"individualResistances_K_W":[0.01,0.1,0.01],"area_m2":2,"heatFlowRate_W":416.6667,"temperatureDiff_K":50}}}