BIZOMAT MAKEOS · Hydraulics

Coolant Flow for a Heat Load

What flow of water or oil removes this heat load for the allowed temperature rise?

Liquid flow needed to carry away a heat load at a given temperature rise, or the temperature rise for a given flow, for water, glycol mixtures or oil.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
CalculatechoiceFind the flow, or the temperature rise.
Heat loadkWHeat to be removed (machine losses, hydraulic power loss, process heat).
Allowed temperature riseKOutlet minus inlet temperature you can accept.
Flow (rise mode)L/minAvailable flow (rise mode).
Specific heat of fluidkJ/(kg·K)Specific heat (water 4.18, 30% glycol about 3.7, mineral oil about 1.9 kJ/kg·K).
Fluid densitykg/m³Fluid density (water 998, 30% glycol about 1040, oil about 870 kg/m³).

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Calculate
Illustration: CalculateThe options for Calculate, with the one currently selected highlighted.Flow for a temperature riseTemperature rise for a flowExample: Flow for a temperature ri…Calculate
What it is
Whether to find the coolant flow needed for an allowed temperature rise, or the temperature rise that a given flow will produce.
Units and format
Choose one of 2 options from the list: Flow for a temperature rise; Temperature rise for a flow.
Example
The form opens with “Flow for a temperature rise” selected as a worked example. Choose the option that matches your case.
Get it right
Only the input for the chosen direction is used: allowed rise in the first case, flow in the second.
What this means: Heat load
Illustration: Heat loadA motor driving a shaft; Heat load is the rate at which it does work, energy per second.QExample: 15 kWHeat load
What it is
The heat the coolant must carry away, such as machine losses, hydraulic power losses or process heat.
Units and format
Enter a number in kW: kilowatts. The form accepts 0.000001 kW to 1000000 kW. Required: the tool does not calculate until every input is valid.
Example
The form opens with 15 kW as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Flow needed, or temperature rise, increases in direct proportion to the heat load.
Get it right
Enter kilowatts of heat, not the motor’s rated power; only the part turned into heat counts.
What this means: Allowed temperature rise
Illustration: Allowed temperature riseTwo thermometers at different levels with the difference between them marked; Allowed temperature rise is that temperature difference.ΔTExample: 5 KAllowed temperature rise
What it is
The outlet temperature minus the inlet temperature of the coolant that you can accept; used when finding the flow.
Units and format
Enter a number in K: kelvin (a difference of 1 K equals 1 °C). The form accepts 0.000001 K to 500 K. Required: the tool does not calculate until every input is valid.
Example
The form opens with 5 K as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The flow needed falls in inverse proportion to the allowed rise.
Get it right
A difference in kelvin equals the same difference in degrees Celsius.
What this means: Flow (rise mode)
Illustration: Flow (rise mode)A pipe with liquid or gas moving through it; Flow (rise mode) is the volume that passes per unit of time.V̇Example: 40 L/minFlow (rise mode)
What it is
The coolant flow available from the pump or supply; used when finding the temperature rise.
Units and format
Enter a number in L/min: litres per minute. The form accepts 0.000001 L/min to 10000000 L/min. Required: the tool does not calculate until every input is valid.
Example
The form opens with 40 L/min as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The temperature rise falls in inverse proportion to flow.
Get it right
Enter litres per minute, not cubic metres per hour.
What this means: Specific heat of fluid
Illustration: Specific heat of fluidHeat flowing from a hot side to a cold side through a wall or into a material; Specific heat of fluid sets how much heat moves or is stored.hotcoldcpExample: 4.18 kJ/(kg·K)Specific heat of fluid
What it is
The specific heat capacity of the coolant: the energy needed to warm one kilogram by one kelvin, from fluid data.
Units and format
Enter a number in kJ/(kg·K): kilojoules per kilogram per kelvin. The form accepts 0.000001 kJ/(kg·K) to 10 kJ/(kg·K). Required: the tool does not calculate until every input is valid.
Example
The form opens with 4.18 kJ/(kg·K) as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A higher specific heat means less flow, or a smaller rise, for the same heat.
Get it right
Glycol mixtures and oils have a lower specific heat than water; use the value for your actual mixture.
What this means: Fluid density
Illustration: Fluid densityA cube of material: density Fluid density is its mass divided by the volume it fills.massvolumeρExample: 998 kg/m³Fluid density
What it is
The density of the coolant at its working temperature, used to turn volume flow into mass flow.
Units and format
Enter a number in kg/m³: kilograms per cubic metre. The form accepts 0.000001 kg/m³ to 25000 kg/m³. Required: the tool does not calculate until every input is valid.
Example
The form opens with 998 kg/m³ as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A denser fluid needs less volume flow for the same heat.
Get it right
Enter kilograms per cubic metre.

Method and formulas

  1. Heat Q = ṁ cp ΔT.
  2. Volume flow = heat ÷ (ρ cp ΔT), converted to L/min.
  3. Temperature rise = heat ÷ (ρ cp × flow).
  4. Example: 15 kW with a 5 K rise needs 43.148 L/min of water.

Limitations

  • Steady state; fluid properties taken at the mean temperature.
  • Heat exchanger size is a separate calculation (see the LMTD tool).
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Size cooling water for a machine, mould or oil cooler
  • Check temperature rise in a hydraulic return line
  • Size a chiller circuit

Who it is for

  • Process engineers
  • Maintenance engineers
  • Design engineers

What you get

  • Flow or temperature rise
  • Mass flow

Interpreting the result

  • A smaller allowed temperature rise needs proportionally more flow.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 371–374. Topic reference; no source tables or recommended settings are reproduced.

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Open the Coolant Flow for a Heat Load calculator