空气中的球体:C_D=0.47,ρ=1.225 kg/m³,v=20 m/s,A=1 m² → F_D≈115.15 N 球体(C_D=0.47),空气(ρ=1.225 kg/m³),v=20 m/s,A=1 m²。F_D=½·1.225·20²·0.47·1=½·1.225·400·0.47≈115.15 N(以代码为准)。未填 μ/L,故 Re=null。{"result":"Drag force (F_D=½·ρ·v²·C_D·A). Shape=sphere, C_D=0.47, ρ=1.225 kg/m³, v=20 m/s, A=1 m². F_D=115.15 N. P=F_D·v=2303 W.","metadata":{"input":{"shapeType":"sphere","dragCoeff":0.47,"density":1.225,"densityUnit":"kg/m3","velocity":20,"velocityUnit":"m/s","referenceArea":1,"areaUnit":"m2"},"result":{"dragForce_N":115.15,"dragCoeff":0.47,"density_kg_m3":1.225,"velocity_m_s":20,"referenceArea_m2":1,"reynolds":null,"power_W":2303,"shapeType":"sphere","charLength_m":null,"dynamicViscosity_Pa_s":null}}}
水中的球体(含 Re):C_D=0.47,ρ=1000 kg/m³,v=2 m/s,A=0.1 m²,μ=1e-3 Pa·s,L=0.5 m → F_D≈94 N,Re≈1e6 球体(C_D=0.47),水(ρ=1000 kg/m³),v=2 m/s,A=0.1 m²。F_D=½·1000·2²·0.47·0.1≈94 N。给定 μ=1e-3 Pa·s,L=0.5 m:Re=ρ·v·L/μ=1000·2·0.5/0.001=1e6。P=F_D·v=188 W(以代码为准)。{"result":"Drag force (F_D=½·ρ·v²·C_D·A). Shape=sphere, C_D=0.47, ρ=1000 kg/m³, v=2 m/s, A=0.1 m². F_D=94 N. Re=1000000. P=F_D·v=188 W.","metadata":{"input":{"shapeType":"sphere","dragCoeff":0.47,"density":1000,"densityUnit":"kg/m3","velocity":2,"velocityUnit":"m/s","referenceArea":0.1,"areaUnit":"m2","dynamicViscosity":0.001,"charLength":0.5,"lengthUnit":"m"},"result":{"dragForce_N":94,"dragCoeff":0.47,"density_kg_m3":1000,"velocity_m_s":2,"referenceArea_m2":0.1,"reynolds":1000000,"power_W":188,"shapeType":"sphere","charLength_m":0.5,"dynamicViscosity_Pa_s":0.001}}}