对流换热率计算器

Convective Q̇ = h·A·ΔT

Convective Heat Rate

📐 计算公式
对流换热(牛顿冷却公式):热流量 Q̇ = 对流传热系数 h × 换热面积 A × 温差 ΔT(W);联动卡:热流密度 = Q̇ ÷ (A 或 1)、单位温差换热率 = h×A(W/K)。校验:无强校验,非数输入按 0 兜底。判据:无固定分级,Q̇ 随 h、A、ΔT 三参线性联动。

输入表面传热系数、面积与温差,求对流换热功率。

🌡️ 典型对流换热系数参考(h,W/m²·K)

📈 换热率随 h 变化(Q ∝ h,A、ΔT 固定)

Formula & Standard References

Item Formula / Note Source / Standard
Newton law of coolingq = hA(T_s − T_∞)Newton 1701
Convection coefficienth from Nusselt numberConvection theory
Nusselt numberNu = hL/kDimensionless groups
Typical hAir natural 5–25; water forced 500–10 000 W/(m²·K)Heat transfer handbook
Heat fluxq'' = h·ΔTHeat transfer
Validityh roughly constant for modest ΔTAnalysis assumption
📌 计算说明
  • Q̇ = h·A·ΔT。
  • h=10、A=2、ΔT=20 → 400 W。

📐 Heat-Transfer Coefficients

Typical convective heat-transfer coefficients and their sources (h comes from empirical correlations, it is not a material constant)

Situation Coefficient h Unit Source
Natural convection, air 2 – 25 W·m⁻²·K⁻¹ ASHRAE Fundamentals / heat-transfer handbook range
Forced convection, air 10 – 500 W·m⁻²·K⁻¹ ASHRAE Fundamentals (the page default h = 10 is at the low end)
Forced convection, water 500 – 10 000 W·m⁻²·K⁻¹ Common heat-transfer handbook range
Boiling water / condensing steam 2 500 – 100 000 W·m⁻²·K⁻¹ Common heat-transfer handbook range

Note: in Newton's law of cooling Q̇ = hA·ΔT, h must be obtained from a Nusselt-number correlation Nu = f(Re, Pr) for the specific geometry and flow regime; tabulated values serve only as estimates.

📚 深度解析:对流换热率

💡 常见使用场景

h=10 A=2 ΔT=20
q=h·A·ΔT=10×2×20=400 W。
强化换热
h 10→25:q 增至 1000 W。

❓ 常见问题(FAQ)

h 怎么定?
由流动与几何决定,自然对流约 5~25,强制对流可达数百 W/m²K。
是否稳态?
此处为稳态表面热流,瞬态须结合热容。