Sizing Sulfuric Acid Cooling Heat Exchangers
Preliminary sizing considerations for sulfuric acid cooling heat exchangers — covering concentration-dependent corrosion, materials boundaries, U-value caution, temperature approach, and the need for specialist review.
Definition
Sizing sulfuric acid cooling heat exchangers is the process of estimating the heat transfer area required to cool sulfuric acid from a higher temperature to a target outlet temperature. The fundamental equation A = Q / (U × ΔTₘ) still applies, but the corrosive and concentration-dependent nature of sulfuric acid introduces materials constraints, U-value uncertainty, and safety boundaries that do not apply in clean-water or hydrocarbon service. Concentration, temperature, dilution risk, and materials of construction dominate the sizing and selection process.
Why it matters
Sulfuric acid is one of the most widely produced industrial chemicals, and acid cooling is a common heat exchanger duty in acid plants, fertiliser production, metallurgical processing, and chemical manufacturing. The corrosion behaviour of sulfuric acid is strongly concentration- and temperature-dependent — a material that resists 98% acid at 40 °C may fail rapidly at 70% acid or at higher temperatures. Preliminary sizing must account for these boundaries because an error in materials or temperature approach can cause rapid exchanger failure, acid leaks, and serious safety consequences.
Formula
Units involved
- •A — heat transfer area in m² or ft²
- •Q — heat duty in kW, W, or BTU/h
- •U — overall heat transfer coefficient in W/(m²·K) or BTU/(h·ft²·°F)
- •ΔTₘ — log mean temperature difference in K, °C, or °F
- •F — LMTD correction factor (dimensionless)
- •Rd — fouling resistance in m²·K/W or h·ft²·°F/BTU
- •ṁ — mass flow rate in kg/s, kg/h, or lb/h
- •Cp — specific heat capacity in J/(kg·K) or BTU/(lb·°F)
Worked example
Preliminary sizing for cooling 98% sulfuric acid from 80 °C to 45 °C using cooling water entering at 30 °C and leaving at 40 °C. Acid flow rate is 5 kg/s. Assume Cp ≈ 1.4 kJ/(kg·K) for 98% H₂SO₄, a conservative preliminary U-value of 300 W/(m²·K) (acid in carbon steel tubes, water on shell side), and total fouling resistance of 0.0004 m²·K/W. Apply 15% design margin.
- 01Q = 5 × 1400 × (80 − 45) = 245,000 W = 245 kW
- 02ΔT₁ = 80 − 40 = 40 °C (counter-current)
- 03ΔT₂ = 45 − 30 = 15 °C
- 04LMTD = (40 − 15) / ln(40/15) = 25 / 0.9808 = 25.5 °C
- 05U_dirty = 1 / (1/300 + 0.0004) = 1 / (0.003333 + 0.0004) = 1 / 0.003733 = 268 W/(m²·K)
- 06A = 245,000 / (268 × 25.5) = 35.8 m²
- 07A_design = 35.8 × 1.15 = 41.2 m²
Required area ≈ 41 m² (with 15% design margin). Materials selection, corrosion allowance, and compliance with acid plant standards must be confirmed by a specialist.
Common mistakes
- •Using generic U-values without accounting for the low thermal conductivity of acid-resistant materials — alloy tubes (e.g., Hastelloy, high-silicon cast iron) have lower conductivity than carbon steel, reducing U.
- •Ignoring the concentration–temperature corrosion map — sulfuric acid corrosion behaviour changes dramatically with both concentration and temperature. A 5% change in acid concentration or a 10 °C shift can move from acceptable to aggressive corrosion.
- •Cooling acid below the dew point of the cooling medium — if the cooling water side operates near or below the acid dew point, external corrosion or condensation issues can arise on the wrong surfaces.
- •Assuming carbon steel is adequate at all concentrations — carbon steel works for concentrated (>93%) sulfuric acid below ~40 °C but corrodes rapidly in dilute or intermediate concentrations.
- •Neglecting dilution risk — water leaking into the acid side (e.g., through a tube failure) causes violent exothermic dilution, rapid temperature rise, and accelerated corrosion.
- •Forgetting corrosion allowance in the wall thickness — acid service exchangers need corrosion allowance added to the mechanical design pressure calculation.
When to use the calculator
Use the Heat Duty Calculator to estimate Q from the acid flow rate, Cp, and temperature change. Use the LMTD Calculator for ΔTₘ. The Heat Exchanger Area Calculator estimates the required area with design margin. Start with a conservative U-value below clean-fluid ranges — the Typical U-Values Reference gives general ranges, but acid service values are typically at the lower end due to material constraints. Consult the Fouling Factors Reference and Design Margin Reference for supporting assumptions.