保温墙(玻璃棉):k=0.04,ΔT=20 K,d=0.05 m,A=1 m² → q=16 W/m²,Q=16 W,R=1.25 K/W 玻璃棉板,k=0.04 W/(m·K),ΔT=20 K,d=0.05 m,A=1 m²。q=k·ΔT/d=0.04·20/0.05=16 W/m²。Q=k·A·ΔT/d=0.04·1·20/0.05=16 W。R=d/(k·A)=0.05/(0.04·1)=1.25 K/W。{"result":"Heat conduction (Fourier's law). k=0.04 W/(m·K), ΔT=20 K (20 K), d=0.05 m (0.05 m), A=1 m2 (1 m²). q = 16 W/m², Q = 16 W, R = 1.25 K/W.","metadata":{"input":{"conductivity":0.04,"temperatureDiff":20,"tempUnit":"K","thickness":0.05,"thicknessUnit":"m","crossSectionArea":1,"areaUnit":"m2"},"result":{"heatFlux_W_m2":16,"heatFlowRate_W":16,"thermalResistance_K_W":1.25,"conductivity":0.04,"temperatureDiff_K":20,"thickness_m":0.05,"crossSectionArea_m2":1}}}
钢壁:k=50,ΔT=100°C(=100 K),d=2 cm,A=500 cm² → q=250000 W/m²,Q=12500 W,R=0.008 K/W 钢板,k=50 W/(m·K),ΔT=100°C(=100 K),d=2 cm=0.02 m,A=500 cm²=0.05 m²。q=k·ΔT/d=50·100/0.02=250000 W/m²。Q=k·A·ΔT/d=50·0.05·100/0.02=12500 W。R=d/(k·A)=0.02/(50·0.05)=0.008 K/W。{"result":"Heat conduction (Fourier's law). k=50 W/(m·K), ΔT=100 °C (100 K), d=2 cm (0.02 m), A=500 cm2 (0.05 m²). q = 250000 W/m², Q = 12500 W, R = 0.008 K/W.","metadata":{"input":{"conductivity":50,"temperatureDiff":100,"tempUnit":"°C","thickness":2,"thicknessUnit":"cm","crossSectionArea":500,"areaUnit":"cm2"},"result":{"heatFlux_W_m2":250000,"heatFlowRate_W":12500,"thermalResistance_K_W":0.008,"conductivity":50,"temperatureDiff_K":100,"thickness_m":0.02,"crossSectionArea_m2":0.05}}}