20°C 水:ρ=1000, v=2, D=0.05 m, μ=0.001 → Re=100000(湍流) Re=ρ·v·D/μ=1000·2·0.05/0.001=100000。ν=μ/ρ=0.001/1000=1e-6 m²/s。Re≥4000 → 湍流(50 mm 管道中水以 2 m/s 流动的典型情况)。{"result":"Reynolds number (Re=ρvD/μ). ρ=1000 kg/m³, v=2 m/s, D=0.05 m, μ=0.001 Pa·s. Re = 100000 (turbulent). ν = 0.000001 m²/s.","metadata":{"input":{"solveFor":"dynamic","density":1000,"velocity":2,"diameter":0.05,"diameterUnit":"m","dynamicViscosity":0.001},"result":{"reynoldsNumber":100000,"flowRegime":"turbulent","density_kg_m3":1000,"velocity_m_s":2,"diameter_m":0.05,"dynamicViscosity_Pa_s":0.001,"kinematicViscosity_m2_s":0.000001,"solveFor":"dynamic"}}}
20°C 甘油:ρ=1260, v=0.1, D=0.02 m, μ=1.5 → Re=1.68(层流) Re=ρ·v·D/μ=1260·0.1·0.02/1.5=1.68。ν=μ/ρ=1.5/1260≈0.00119048 m²/s。Re<2300 → 层流(高粘度甘油在 20 mm 管道中缓慢流动)。{"result":"Reynolds number (Re=ρvD/μ). ρ=1260 kg/m³, v=0.1 m/s, D=0.02 m, μ=1.5 Pa·s. Re = 1.68 (laminar). ν = 0.00119048 m²/s.","metadata":{"input":{"solveFor":"dynamic","density":1260,"velocity":0.1,"diameter":0.02,"diameterUnit":"m","dynamicViscosity":1.5},"result":{"reynoldsNumber":1.68,"flowRegime":"laminar","density_kg_m3":1260,"velocity_m_s":0.1,"diameter_m":0.02,"dynamicViscosity_Pa_s":1.5,"kinematicViscosity_m2_s":0.00119048,"solveFor":"dynamic"}}}