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Cooling Tower Calculator

Calculate cooling range, approach, Merkel number, evaporation rate, and makeup water requirements for cooling tower design.

About this calculator

This calculator computes the two fundamental temperature metrics used to describe cooling tower performance -- Cooling Range (Hot Water Temperature minus Cold Water Temperature, the amount of heat rejected) and Cooling Approach (Cold Water Temperature minus Wet Bulb Temperature, how close the tower gets the water to the theoretical limit set by ambient wet- bulb conditions). A smaller Approach means a more effective tower, since the wet-bulb temperature is the coldest a cooling tower can ever bring water to -- it can never cool below ambient wet-bulb temperature regardless of size. The Merkel Number (KaV/L) reported here is a simplified Range/Approach-based surrogate for the real Merkel heat-and-mass-transfer integral used in cooling tower thermal design -- it is NOT computed from the entered Water Flow Rate and Air Flow Rate; those two inputs are instead used to size Evaporation Rate and Makeup Water below, and only confirm the tower actually has a liquid and a gas stream to exchange heat between (a full Merkel calculation would also need the tower's actual L/G ratio and fill characteristic curve, which this simplified estimate does not model). A higher value here indicates a larger Cooling Range relative to Approach.

Evaporation Rate is estimated from the field guideline that roughly 1% of circulating water flow evaporates per 10°F (about 5.6°C) of cooling range -- since Cooling Range is computed in °C, it is converted to an equivalent °F temperature difference (multiplied by 1.8, with no +32 offset, because this is a delta not an absolute temperature) before the per-10°F coefficient is applied -- since evaporative cooling is the primary heat-rejection mechanism in a wet cooling tower. Makeup Water Required sums three water losses that must be continuously replaced: the estimated Evaporation Rate, drift loss (droplets carried out with the exhaust air, approximated at 0.1% of circulating flow), and blowdown (water deliberately discharged to control dissolved-solids concentration, approximated here as one-third of the evaporation rate). Air Flow Rate itself only needs to be positive: it confirms the tower actually has a gas stream to exchange heat with, but its magnitude has no further bearing on Cooling Range, Cooling Approach, Merkel Number, Evaporation Rate, or Makeup Water Required, all of which are driven by Water Flow Rate and the entered temperatures instead.

Inputs

m³/hr
°F
°F
°F
m³/hr

Results

Cooling Range

10 °C

Cooling Approach

5 °C

Merkel Number (KaV/L)1.88
Evaporation Rate9 m³/hr
Makeup Water Required12.5 m³/hr
Tower StatusValid -- Cold Water Temperature is above Wet Bulb Temperature, within the physically achievable range
How to Use This Calculator
  1. Enter the Water Flow Rate in m³/hr — the total circulating water flow through the tower.
  2. Enter the Hot Water Temperature in °C entering the tower and the Cold Water Temperature in °C leaving it. The difference is the Cooling Range.
  3. Enter the Wet Bulb Temperature in °C of the ambient air — this sets the thermodynamic limit. Cold Water Temperature must stay above Wet Bulb Temperature; the difference is the Approach.
  4. Enter the Air Flow Rate in m³/hr through the tower fills.
  5. Review the Merkel Number (KaV/L) — a higher value indicates a larger Cooling Range relative to Approach for this simplified Range/Approach estimate.
  6. Note the Evaporation Rate and Makeup Water Required in m³/hr for water consumption planning and blowdown calculations.

How the result changes with Hot Water Temperature

Hot Water TemperatureCooling RangeCooling Approach
20-10 °C5 °C
300 °C5 °C
6030 °C5 °C
8050 °C5 °C

What each input means

Water Flow Rate
Circulating water flow rate through the cooling tower.
Hot Water Temperature
Temperature of the warm water entering the top of the tower.
Cold Water Temperature
Target temperature of the cooled water leaving the tower basin.
Wet Bulb Temperature
Ambient wet-bulb temperature, which determines the theoretical cooling limit.
Air Flow Rate
Volumetric air flow rate through the cooling tower.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    5 parameters
    Water Flow Rate = 500, Hot Water Temperature = 40, Cold Water Temperature = 30, Wet Bulb Temperature = 25, Air Flow Rate = 1000 = 5 input(s) provided
  2. Calculate Cooling Range
    Cooling Range
    10 = 10
  3. Calculate Cooling Approach
    Cooling Approach
    5 = 5
  4. Calculate Merkel Number
    Merkel Number
    1.875 = 1.875
  5. Calculate Evaporation Rate
    Evaporation Rate
    9 = 9

Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

What is the difference between Cooling Range and Cooling Approach?

Cooling Range is how much the water temperature drops through the tower (Hot Water Temperature minus Cold Water Temperature) -- it reflects the heat load being rejected. Cooling Approach is how close the cooled water gets to the ambient Wet Bulb Temperature, the coldest temperature a cooling tower can theoretically reach. A smaller Approach indicates a more thermally effective tower for a given size and air flow.

Why can't a cooling tower cool water below the wet bulb temperature?

Evaporative cooling towers work by evaporating a small fraction of the circulating water into the passing air stream, and the wet bulb temperature represents the theoretical limit of that evaporative cooling process for the current ambient humidity and temperature. Cooling Approach (Cold Water Temperature minus Wet Bulb Temperature) can shrink toward zero with a larger, more efficient tower, but the tower can never cool water below the ambient wet bulb temperature itself.

How is Evaporation Rate estimated from the inputs?

This calculator uses a standard cooling-tower rule of thumb: roughly 1% of the circulating Water Flow Rate evaporates for every 10°F of Cooling Range achieved. Cooling Range is entered and computed in °C, so it is first converted to an equivalent °F temperature difference (multiplied by 1.8) before the per-10°F rule is applied. Evaporation is the primary way a wet cooling tower rejects heat, so a larger Cooling Range (a bigger temperature drop) at the same flow rate corresponds to more water evaporated.

What three losses make up the Makeup Water Required figure?

Makeup Water Required sums the estimated Evaporation Rate, drift loss (fine water droplets carried out of the tower by the exhaust air stream, approximated at 0.1% of circulating flow), and blowdown (water deliberately discharged to prevent dissolved solids from concentrating to scale-forming levels, approximated as one-third of the evaporation rate). All three must be continuously replaced to keep the system's water balance stable.

Does the Merkel Number here match a full thermal-design calculation?

No -- this calculator reports a simplified approximation of the Merkel Number using the entered Cooling Range and Approach, not the full Merkel heat-and-mass-transfer integral (KaV/L) that a detailed thermal design would compute from tower fill characteristics, air-to-water ratio, and enthalpy driving forces at multiple points through the tower. Treat it as a directional performance indicator rather than a certified design figure.

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