水孔板:C_d=0.61,d=0.05 m,D=0.1 m(β=0.5),ΔP=10000 Pa,ρ=1000 kg/m³ → Q≈0.0054 m³/s,ṁ≈5.3564 kg/s C_d=0.61,d=0.05 m,D=0.1 m → β=0.5,ΔP=10000 Pa,ρ=1000 kg/m³。A=π·0.05²/4=0.0019635 m²(4 位小数取 0.002 m²)。Q=C_d·A·√(2·ΔP/ρ)=0.61·0.0019635·√(2·10000/1000)=0.61·0.0019635·√20≈0.0054 m³/s(5.3564 L/s,321.3853 L/min,19.2831 m³/h)。ṁ=C_d·A·√(2·ρ·ΔP)≈5.3564 kg/s。v_orifice=C_d·√(2·ΔP/ρ)≈2.728 m/s。{"result":"Orifice flow (Bernoulli, Q=Cd·A·√(2ΔP/ρ)). Cd=0.61, d=0.05 m (0.05 m), D=0.1 m (0.1 m, β=0.5), ΔP=10000 Pa (10000 Pa), ρ=1000 kg/m3. A=0.002 m². Q=0.0054 m³/s (5.3564 L/s, 321.3853 L/min, 19.2831 m³/h). ṁ=5.3564 kg/s, v_orifice=2.728 m/s.","metadata":{"input":{"dischargeCoefficient":0.61,"orificeDiameter":0.05,"orificeDiameterUnit":"m","pipeDiameterUnit":"m","pressureDiff":10000,"pressureUnit":"Pa","density":1000,"densityUnit":"kg/m3","pipeDiameter":0.1},"result":{"flowRate_m3_s":0.0054,"flowRate_L_s":5.3564,"flowRate_L_min":321.3853,"flowRate_m3_h":19.2831,"massFlowRate_kg_s":5.3564,"orificeVelocity_m_s":2.728,"orificeArea_m2":0.002,"betaRatio":0.5,"pressureDrop_Pa":10000,"pressureDrop_kPa":10,"density_kg_m3":1000,"dischargeCoefficient":0.61,"orificeDiameter_m":0.05,"pipeDiameter_m":0.1}}}
空气孔板(未填管径):C_d=0.62,d=50 mm,ΔP=5 kPa,ρ=1.2 kg/m³ → Q≈0.1111 m³/s,β=null C_d=0.62,d=50 mm=0.05 m,未提供管径(不计算 β),ΔP=5 kPa=5000 Pa,ρ=1.2 kg/m³。A=π·0.05²/4=0.0019635 m²(4 位小数取 0.002 m²)。Q=C_d·A·√(2·ΔP/ρ)=0.62·0.0019635·√(2·5000/1.2)≈0.1111 m³/s(111.1299 L/s,6667.7945 L/min,400.0677 m³/h)。ṁ≈0.1334 kg/s。v_orifice≈56.598 m/s。{"result":"Orifice flow (Bernoulli, Q=Cd·A·√(2ΔP/ρ)). Cd=0.62, d=50 mm (0.05 m), ΔP=5 kPa (5000 Pa), ρ=1.2 kg/m3. A=0.002 m². Q=0.1111 m³/s (111.1299 L/s, 6667.7945 L/min, 400.0677 m³/h). ṁ=0.1334 kg/s, v_orifice=56.598 m/s.","metadata":{"input":{"dischargeCoefficient":0.62,"orificeDiameter":50,"orificeDiameterUnit":"mm","pipeDiameterUnit":"m","pressureDiff":5,"pressureUnit":"kPa","density":1.2,"densityUnit":"kg/m3"},"result":{"flowRate_m3_s":0.1111,"flowRate_L_s":111.1299,"flowRate_L_min":6667.7945,"flowRate_m3_h":400.0677,"massFlowRate_kg_s":0.1334,"orificeVelocity_m_s":56.598,"orificeArea_m2":0.002,"betaRatio":null,"pressureDrop_Pa":5000,"pressureDrop_kPa":5,"density_kg_m3":1.2,"dischargeCoefficient":0.62,"orificeDiameter_m":0.05,"pipeDiameter_m":null}}}