Thermal Engineering Calculator

Cooling Tower Calculator

Calculate cooling tower range, approach temperature, cooling effectiveness, cycles of concentration (CoC), evaporation loss, blowdown, makeup water demand, and heat rejection.

🌊 Range 🎯 Approach ⚡ Cooling Effectiveness 🔄 Cycles of Concentration 💧 Water Loss

Cooling Tower Inputs

Cooling Tower Results

Review calculated temperature performance, water losses and heat rejection.

Cooling Tower Range

--

Approach Temperature

--

Cooling Effectiveness

--

Percentage
Cycles of Concentration

--

CoC
Evaporation Loss

--

Blowdown Rate

--

Concentration control
Makeup Water Demand

--

Fresh water requirement
Heat Rejection

--

Cooling Tower Range and Approach

Compare hot-water temperature, cold-water temperature and the entering-air wet-bulb temperature.

Cooling Tower Calculator: Formulas and Practical Guide

Why Use a Cooling Tower Calculator?

This calculator estimates the thermal performance and water balance of evaporative cooling towers. By entering the hot water inlet temperature, cold water outlet temperature, ambient wet-bulb temperature, circulating flow rate, and Cycles of Concentration (CoC), you can determine:

  • 🌊 Range (Temperature Drop)
  • 🎯 Approach Temperature
  • ⚡ Cooling Effectiveness
  • 🔄 Cycles of Concentration (CoC)
  • 💧 Evaporation, Blowdown & Makeup Water Demand

These calculations are essential for thermal power generation, industrial process plants, HVAC circuits, and utility water systems. For example, in steam power plants, cooling water passes through a surface condenser to absorb latent heat from turbine exhaust steam (which can be calculated using our Steam Properties & Enthalpy Calculator), condensing it back into feedwater before returning to the cooling tower for heat rejection.

How to Use the Cooling Tower Calculator

1

Input Water Temperatures

Enter the hot water inlet temperature coming from the condenser/process, the cooled water outlet temperature returning to the system, and the ambient wet-bulb temperature.

2

Specify Circulating Flow

Enter the total circulating water flow pumped through the tower. Field example: A typical 10 MW thermal power plant operates around 2,000 to 2,200 m³/hr circulating flow, depending on condenser design.

3

Enter Cycles of Concentration (CoC)

Enter your operating CoC directly, or let the calculator compute it using basin water and makeup water TDS/chloride chemical analysis.

4

Evaluate Performance Results

Review calculated values for range, approach, thermal efficiency, evaporation loss, blowdown rate, fresh makeup water requirement, and total heat rejection.

Cooling Tower Range

After circulating through heat exchangers or steam condensers, water absorbs heat and enters the top of the tower as hot inlet water. The cooling tower removes heat, sending cool water back to the suction pumps. The difference between the hot water inlet and cold water outlet temperatures is defined as the Range.

Range = Thot − Tcold

Practical Example: If hot water enters the tower at 40°C and exits at 32°C, the cooling tower range is 40 − 32 = 8°C.

Cooling Tower Approach

Approach measures how closely the cooled outlet water temperature approaches the ambient wet-bulb temperature.

Approach = Tcold − Twb

A smaller approach value indicates high thermal heat transfer efficiency under prevailing atmospheric conditions.

Cooling Tower Effectiveness

Cooling effectiveness (or thermal efficiency) compares the actual temperature drop (Range) against the theoretical maximum cooling possible based on wet-bulb temperature.

η =
Thot − Tcold Thot − Twb
× 100%

Cycles of Concentration (CoC)

Cycles of Concentration (CoC) measures the accumulation of dissolved mineral solids in circulating cooling water compared to raw makeup water.

As pure water evaporates, minerals stay behind in the basin. Re-circulating water over time increases CoC, whereas adding fresh makeup water lowers it. In operating power plants, CoC is frequently maintained around 3.5, though exact target values depend on raw water chemistry, scaling potential, and plant chemical treatment programs. CoC directly dictates the required blowdown rate.

CoC = Circulating Water Mineral Concentration / Makeup Water Mineral Concentration

Chloride ions are preferred for calculating CoC because they are highly soluble and non-precipitating, though Total Dissolved Solids (TDS) is also widely used in site water chemistry monitoring.

Cooling Tower Evaporation Loss

Evaporation is the primary heat extraction mechanism in an evaporative cooling tower. A standard empirical engineering formula for estimating evaporation loss is:

E = 0.00085 × Q × Range

Where E is Evaporation Loss and Q is Circulating Water Flow rate.

Note: The 0.00085 factor is an empirical estimation coefficient. Actual evaporation fluctuates with ambient relative humidity, fan airflow, and local atmospheric pressure.

Cooling Tower Blowdown

Pure water leaves the tower as vapor during evaporation, but dissolved minerals (TDS) remain behind in circulating water. Without blowdown, dissolved solids concentrate rapidly, leading to heavy scale formation, deposition, and corrosion in condenser tubes. Blowdown bleeds off concentrated water to maintain target chemistry.

B =
E CoC − 1

This standard water balance formula assumes ideal operating CoC control without explicitly accounting for mechanical drift losses or auxiliary valve leakages.

Makeup Water Requirement

Fresh water must be continuously supplied to replace water lost through evaporation, intentional blowdown, and windage drift.

M = E + B + Drift Loss

In actual plant operations, total makeup demand also compensates for piping leaks, basin overflows, and water treatment sampling lines.

Heat Rejection Duty

The total heat transferred from circulating cooling water to ambient air can be calculated using mass flow rate, specific heat capacity of water (Cp), and temperature difference (ΔT):

Qheat = ṁ × Cp × (Thot − Tcold)

The calculated heat rejection duty can be converted into standard engineering units such as MWth, Gcal/hr, or Tons of Refrigeration (TR).

Cooling Tower Calculation Summary

Parameter Symbol Engineering Meaning
Cooling Range ΔT Temperature drop across hot water inlet and cold water outlet.
Approach °C / °F Difference between cold water outlet and ambient wet-bulb temperature.
Cooling Effectiveness η Actual temperature drop expressed relative to available wet-bulb limit.
Cycles of Concentration CoC Ratio of dissolved mineral concentration in circulating vs makeup water.
Evaporation Loss E Water volume lost as vapor during thermal heat transfer.
Blowdown B Controlled discharge of concentrated water to prevent scaling.
Makeup Water M Fresh water required to balance evaporation, blowdown, and drift losses.
Heat Rejection Qheat Total thermal duty rejected by the cooling water circuit to atmosphere.

Cooling Tower Measurement Units

TR

Tons of Refrigeration

Standard heat duty unit commonly used in industrial chiller systems and HVAC plant applications.

Gcal/hr

Gigacalories per Hour

Thermal duty metric widely used in heavy power plants, utility engineering, and district heating systems.

GPM

US Gallons per Minute

Common volumetric fluid flow rate unit utilized in US water handling systems.

TPH / m³/hr

Tonnes per Hour / Cubic Meters per Hour

Mass and volumetric flow metrics standard in international power generation and process plant design.

Frequently Asked Questions (FAQ)

1. What is the fundamental difference between Range and Approach?

Range (Thot − Tcold) represents the temperature drop across the cooling tower, driven directly by process heat load. Approach (Tcold − Twb) measures how close the cold water output gets to ambient air wet-bulb temperature, reflecting tower heat transfer capability.

2. Why is wet-bulb temperature so important for cooling tower performance?

Evaporative cooling relies on air's capacity to absorb evaporated water vapor. Ambient wet-bulb temperature establishes the theoretical minimum cold water temperature achievable by a conventional wet cooling tower.

3. What happens when Cycles of Concentration (CoC) increase?

Raising CoC reduces blowdown discharge, conserving raw makeup water and lowering chemical treatment costs. However, exceeding recommended CoC limits elevates dissolved solids concentration, increasing scaling and tube corrosion risks inside heat exchangers.

4. How does relative humidity affect cooling tower output?

High relative humidity elevates ambient wet-bulb temperature, suppressing moisture evaporation efficiency and resulting in warmer cold water returning to the plant circuit.

5. What parameters are required to calculate heat rejection duty?

Calculating heat rejection requires circulating water mass flow rate, water specific heat capacity (Cp), and temperature difference across the tower (Range ΔT).

6. Is this calculator suitable for final commercial cooling tower design?

This calculator provides engineering estimations, operational checks, and plant troubleshooting metrics. Detailed procurement or equipment design guarantees require OEM performance curves, full psychrometric air calculations, and water chemistry evaluations.

Calculation Assumptions

Calculated results are engineering estimates based on established thermal mass balance equations. Actual field performance varies according to mechanical fan airflows, fill media condition, water distribution nozzle performance, ambient weather variations, drift eliminator efficiency, and water chemistry management.

Related Power Plant Engineering Tools

Explore our suite of high-precision power station calculation tools

Link copied to clipboard!