๐จ Air Cooler / Finned Tube
Design and rate finned-tube air coolers. Model plate or spiral fins with Briggs & Young correlation and cross-flow effectiveness.
โก Fortran 90 Engine
Double Precision (IEEE 754)
โ ISO / ASME Validated
Heat Transfer
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Finned Tube geometries
Finned surfaces significantly enhance air-side thermal conductance. Briggs and Young Nusselt correlations are applied along with:
- Fins spacing ($s = p_f - t_f$): High fin densities enhance heat transfer but block cross-flow areas.
- Air pressure drop ($\Delta P_{air}$): Calculated via Robinson & Briggs. Crucial for fan sizing.
- Schmidt Rayon equivalent: Determines the temperature profile along the aluminum fin height.
๐ Configuration
๐ Results & Verification
Configure process flows and geometry and click Sizing Air Cooler HX to view results.
๐ Calculation Methodology: Finned Tube Heat Exchanger Rating & Overall UA
Mathematical Model & Theory
Finned tubes enhance gas-side thermal conductance by increasing external surface area $A_o$, accounting for fin efficiency $\eta_f$ and overall surface efficiency $\eta_o$:
$$\eta_o = 1 - \frac{A_f}{A_o}(1 - \eta_f), \quad \frac{1}{UA} = \frac{1}{\eta_o h_o A_o} + \frac{\ln(d_o/d_i)}{2\pi k_{pipe} L} + \frac{1}{h_i A_i}$$
$$q = UA \cdot LMTD \cdot F$$
Assumptions
- Uniform fin thickness and base contact.
- Constant convective heat transfer coefficients.
Academic References
- Kern, D. Q., & Kraus, A. D.: Extended Surface Heat Transfer, McGraw-Hill.
- Incropera, F. P. et al.: Heat Transfer, Ch. 11.
Worked Engineering Example
Problem Statement:
A finned bank has $A_o = 25\text{ m}^2$, $\eta_o = 0.85$, $h_o = 60\text{ W/m}^2\cdot\text{K}$, $A_i = 3.0\text{ m}^2$, $h_i = 1200\text{ W/m}^2\cdot\text{K}$ (negligible wall resistance). Find overall $UA$.
Step-by-step Solution:
1. $R_o = 1 / (0.85 \times 60 \times 25) = 1 / 1275 = 0.000784\text{ K/W}$.
2. $R_i = 1 / (1200 \times 3.0) = 1 / 3600 = 0.000278\text{ K/W}$.
3. $R_{total} = 0.000784 + 0.000278 = 0.001062\text{ K/W} \implies UA = 1 / 0.001062 = 941.6\text{ W/K}$.
Final Result:
Overall conductance is $UA = \mathbf{941.6\text{ W/K}}$.
A finned bank has $A_o = 25\text{ m}^2$, $\eta_o = 0.85$, $h_o = 60\text{ W/m}^2\cdot\text{K}$, $A_i = 3.0\text{ m}^2$, $h_i = 1200\text{ W/m}^2\cdot\text{K}$ (negligible wall resistance). Find overall $UA$.
Step-by-step Solution:
1. $R_o = 1 / (0.85 \times 60 \times 25) = 1 / 1275 = 0.000784\text{ K/W}$.
2. $R_i = 1 / (1200 \times 3.0) = 1 / 3600 = 0.000278\text{ K/W}$.
3. $R_{total} = 0.000784 + 0.000278 = 0.001062\text{ K/W} \implies UA = 1 / 0.001062 = 941.6\text{ W/K}$.
Final Result:
Overall conductance is $UA = \mathbf{941.6\text{ W/K}}$.