BIZOMAT MAKEOS · Mechanics

Brake Dynamometer Test and Cooling Plan (Power, Water Flow, Water Use)

How much power is my prony brake or absorption dynamometer taking, how much cooling water does it need for the temperature rise I allow, and do my brake rating and water supply cover it?

Plan for a power test with a prony brake or absorption dynamometer: net scale force, torque and power absorbed from the arm length, scale readings and speed (as the prony brake tool), the share of the power carried away by the cooling water, the water flow for your allowed temperature rise (as the coolant flow for a heat load tool), the water used over the test, and checks against the brake rating and the water supply.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Brake arm lengthmDistance from the shaft centre to the scale load point.
Scale reading with the brake absorbing powerNScale reading while the brake absorbs power.
Zero reading (frictionless)NScale reading with the brake slack (the arm’s own weight).
Shaft speedrpmShaft speed during the reading.
Cooling
Share of the power removed by the water%Share of the absorbed power taken away by the cooling water (the rest goes to air and the structure).
Allowed water temperature riseKLargest rise in water temperature through the brake.
Water specific heatkJ/(kg·K)Specific heat of the water.
Water densitykg/m³Density of the water.
Test durationminLength of the test run.
Limits
Brake power ratingkWLargest power the brake can absorb continuously.
Water supply availableL/minWater flow the supply can give.

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: Brake arm length
Illustration: Brake arm lengthA bar with a dimension line and arrows from one end to the other, marking the length Brake arm length.LExample: 1 mBrake arm length
What it is
The length of the brake arm: the horizontal distance from the shaft centre to the point where the arm presses on the scale.
Units and format
Enter a number in m: metres. The form accepts 0.000001 m to 100 m. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1 m as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Torque and power rise in proportion to the arm length.
Get it right
Measure square to the line of the scale force, from the shaft centre, not from the brake drum.
What this means: Scale reading with the brake absorbing power
Illustration: Scale reading with the brake absorbing powerA block with an arrow pushing on it; the arrow is the force Scale reading with the brake absorbing power.FExample: 250 NScale reading with the brake absorbing power
What it is
The scale reading while the brake is loaded and the engine or motor is running at the test speed and steady.
Units and format
Enter a number in N: newtons. The form accepts 0 N to 100000000 N. Required: the tool does not calculate until every input is valid.
Example
The form opens with 250 N as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Net force is this reading minus the zero reading.
Get it right
Wait for a steady reading; it must be larger than the zero reading.
What this means: Zero reading (frictionless)
Illustration: Zero reading (frictionless)A block with an arrow pushing on it; the arrow is the force Zero reading (frictionless).FExample: 50 NZero reading (frictionless)
What it is
The scale reading with the brake slack and the shaft free, which is the weight of the arm resting on the scale.
Units and format
Enter a number in N: newtons. The form accepts 0 N to 100000000 N. Required: the tool does not calculate until every input is valid.
Example
The form opens with 50 N as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Take it with the brake released, not with the scale empty.
What this means: Shaft speed
Illustration: Shaft speedA turning disc with a marker; Shaft speed is how many full turns it makes in each minute.turns of the shaftper minutenExample: 600 rpmShaft speed
What it is
The shaft speed at the moment of the scale reading, from a tachometer.
Units and format
Enter a number in rpm: revolutions per minute. The form accepts 0.000001 rpm to 1000000 rpm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 600 rpm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Power is proportional to speed for a given torque.

Cooling

What this means: Share of the power removed by the water
Illustration: Share of the power removed by the waterA bar of 100 parts with the share marked; Share of the power removed by the water is that share out of 100. The bar follows the value you type.0 %100 %Example: 90%Share of the power removed by the water
What it is
The part of the absorbed power carried away by the cooling water; the rest goes into the air and the brake structure. It depends on the brake design.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 1% to 100%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 90% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Water flow needed rises in proportion to it.
Get it right
Ask the brake maker or estimate from a measured water flow and temperature rise.
What this means: Allowed water temperature rise
Illustration: Allowed water temperature riseTwo thermometers at different levels with the difference between them marked; Allowed water temperature rise is that temperature difference.ΔTExample: 10 KAllowed water temperature rise
What it is
The largest rise you allow in water temperature between the brake inlet and outlet.
Units and format
Enter a number in K: kelvin (a difference of 1 K equals 1 °C). The form accepts 0.000001 K to 100 K. Required: the tool does not calculate until every input is valid.
Example
The form opens with 10 K as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Doubling the allowed rise halves the water flow needed.
Get it right
A temperature difference, not the outlet temperature.
What this means: Water specific heat
Illustration: Water specific heatHeat flowing from a hot side to a cold side through a wall or into a material; Water specific heat sets how much heat moves or is stored.hotcoldcₚExample: 4.18 kJ/(kg·K)Water specific heat
What it is
The specific heat capacity of the cooling water, the energy needed to warm one kilogram by one kelvin.
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
Water flow needed is inversely proportional to it.
Get it right
This is in kilojoules, not joules, per kilogram per kelvin.
What this means: Water density
Illustration: Water densityA cube of material: density Water density is its mass divided by the volume it fills.massvolumeρExample: 998 kg/m³Water density
What it is
The density of the cooling water, used to turn the mass flow of water into litres per minute.
Units and format
Enter a number in kg/m³: kilograms per cubic metre. The form accepts 0.000001 kg/m³ to 2000 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.
What this means: Test duration
Illustration: Test durationA timeline from a start mark to an end mark; Test duration is the time between them.startendtExample: 30 minTest duration
What it is
The total length of the test run during which the brake absorbs power and uses water.
Units and format
Enter a number in min: minutes. The form accepts 0.000001 min to 100000 min. Required: the tool does not calculate until every input is valid.
Example
The form opens with 30 min as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Water used is the flow times this duration.
Get it right
Enter the duration in minutes, not hours or seconds: 1.5 hours is 90 minutes.

Limits

What this means: Brake power rating
Illustration: Brake power ratingA motor driving a shaft; Brake power rating is the rate at which it does work, energy per second.PExample: 15 kWBrake power rating
What it is
The largest power the brake can absorb continuously, from its maker’s rating.
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.
Get it right
Use the continuous rating at the test speed if the maker gives one.
What this means: Water supply available
Illustration: Water supply availableA pipe with liquid or gas moving through it; Water supply available is the volume that passes per unit of time.QExample: 20 L/minWater supply available
What it is
The water flow the supply can deliver to the brake at the test site, measured with a flow meter or bucket and stopwatch.
Units and format
Enter a number in L/min: litres per minute. The form accepts 0.000001 L/min to 1000000 L/min. Required: the tool does not calculate until every input is valid.
Example
The form opens with 20 L/min as a worked example. It is an illustration, not a recommended value: replace it with your own figure.

Method and formulas

  1. Net force = reading − zero; torque = force × arm; power = 2π n T ÷ 60 (as the prony brake tool).
  2. Heat to water = power × share; flow = heat ÷ (ρ c_p ΔT) (as the coolant flow for a heat load tool).
  3. Water used = flow × test duration.
  4. Example: the brake absorbs 12.566 kW at 200 N·m; it needs 16.267 L/min of water and 488 L for the test.

Limitations

  • Steady readings; scale damping is needed for a stable reading.
  • Water share depends on the brake design; air-cooled brakes need a different heat path.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Plan an engine or motor power test
  • Size the water supply for a water-cooled brake
  • Check a dynamometer is big enough

Who it is for

  • Test engineers
  • Maintenance engineers
  • Technical college staff

What you get

  • Torque and power absorbed
  • Cooling water flow and test water use
  • Checks against rating and supply

Interpreting the result

  • If the supply is short, allow a larger temperature rise within the brake maker’s limit or recirculate through a cooler.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 2998–2999, 371–374. Topic reference; no source tables or recommended settings are reproduced.

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Open the Brake Dynamometer Test and Cooling Plan (Power, Water Flow, Water Use) calculator