Evaporative Cooling Tower Water Loss & Makeup Sizing
Determines condenser water circulating flow rate, thermal cooling range and approach to ambient wet-bulb, evaporation consumption, drift losses, blowdown bleed-off, and total daily makeup water volume per CTI STD-201 and ASHRAE 90.1.
Governing Engineering Standards & Calculation Model
Governing Standards & References
- CTI STD-201: Cooling Technology Institute Standard for Thermal Performance Certification.
- ASHRAE Standard 90.1: Energy Standard for Buildings (Heat rejection efficiency & drift eliminator limits).
- IS 11504: Code of practice for criteria for structural design of reinforced concrete natural draught cooling towers.
Engineering Equations & Derivations
Thermal Range (ΔT): CWR - CWS = 35.0°C - 30.0°C = 5.0°C (9.0°F)
Condenser Heat Rejection: Q_cond = m_dot × Cp × ΔT = 56.781 kg/s × 4.186 × 5.0 = 1,188.4 kW (337.9 TR)
Evaporation Rate: Evap = (Q_cond × 3600) / (h_fg × 1000) = (1,188.4 × 3600) / 2,430,000 = 1.76 m³/h
Drift Loss: Drift = Circ_Flow × Drift% = 204.4 × 0.005% = 0.010 m³/h
Blowdown Rate: Blowdown = Evap / (COC - 1) = 1.76 / (4 - 1) = 0.59 m³/h
Total Makeup Water: Makeup = Evap + Drift + Blowdown = 2.36 m³/h (56.6 kL/day)
First Law Thermodynamics Distinction: Condenser heat rejection (1,188.4 kW / 337.9 TR) strictly exceeds the nominal chiller cooling capacity (300 TR = 1,055.1 kW) because the cooling tower must reject both the building thermal load absorbed at the chiller evaporator and the electrical/shaft work of the compressor (Q_condenser = Q_evaporator + W_compressor).
Evaporation loss equation uses the industry standard empirical sensible/latent factor (0.00085/°F range) representing normal summer conditions. Actual water consumption varies dynamically with ambient psychrometric enthalpy, chiller partial loading, and seasonal wet-bulb fluctuations. Raw water quality (silica, calcium hardness, chloride levels) strictly dictates safe Cycles of Concentration (COC) to prevent calcium carbonate scale precipitation on chiller condenser tubes. Comprehensive water testing and chemical dosing are required.