CALCULATORS / PNEUMATICS, HYDRAULICS AND VACUUM

Hydraulic system power calculator

Hydraulic pressure-flow power and supplied pump efficiency.

pneumatics-hydraulic-power.napkin / editable

SCENARIO COMPARISON

Compare the numbers.

This source describes an analytical model. Its quantities and checks are the view.

Scenario	hydraulicW	inputW
	833.333	980.392
	666.667	784.314

All calculated quantities are listed with the inputs. Switch to Source to inspect the equations.

SCENARIOS / CALCULATED VALUESSAME SOURCE

Change an input to see the consequences.

input power budget980.39 W✓ passes

BASELINE INPUTS

pressure10 MPaflow5 L/minefficiency0.85

CALCULATED

hydraulic833.33 W

input980.39 W

Edits change the baseline source.

THE SOURCE

Edits below update the same model.

# Hydraulic system power
# Scope: Hydraulic pressure-flow power and supplied pump efficiency.
# Status: illustrative worked example; engineering review pending.
# Inputs are example values. Checks are editable example requirements, not standards.

pressure = 10 MPa
flow = 5 L/min
efficiency = 0.85

hydraulic := pressure*flow [W]
input := hydraulic/efficiency [W]

check input power budget: input <= 1200 W

scenario alternative: pressure = 8 MPa

Calculated from your source · not saved

Baseline · Baseline

input power budget980.39 W ✓ passes

alternative · alternative

input power budget784.31 W ✓ passes

Illustrative first-order example. Checks are editable requirements, not design standards. The broader topic may require additional equations, data, and validation.

Formula and units

This example uses the following equations. Input names and units match the editable source above.

hydraulic: hydraulic = pressure*flow [W]
input: input = hydraulic/efficiency [W]

Original worked example

These are the baseline values in the downloadable source. Edits above let you test your own values.

Given

pressure: 10 MPa
flow: 5 L/min
efficiency: 0.85

Calculated

hydraulic: 833.333 W
input: 980.392 W

Assumptions and limits

Hydraulic pressure-flow power and supplied pump efficiency.

The requirement checks use the limits written in this example. Passing a check does not establish that the model covers every load, material behavior, or operating condition in a real design.

Download this .napkin example ↓

Take it further with your agent

Napkin keeps the inputs, equations, checks and assumptions together in one study. Your agent sets it up; you change the numbers.

Try with Claude ↗

codex 'Use Napkin (https://napkin.engineering/mcp, or the local Napkin plugin) to build a study: Hydraulic system power. Inputs: pressure; flow; efficiencies. Outputs: fluid power; motor demand; heat loss. Model scope: Pressure, flow and actuator geometry with compressibility assumptions. Read napkin_capabilities and the current snapshot. Ask me for the values that matter, label assumptions with units, author .napkin source, validate it and apply it with napkin_source using the current revision, then open the study. Add checks for the limits I supply. Keep unsupported analyses explicit.'

Claude needs the Napkin connector; Codex needs the Napkin plugin. Set up your agent ↗

The broader study

The topic brief below describes the broader scope. The worked example above states the particular calculation it implements.

Inputs: pressure, flow, efficiencies
Outputs: fluid power, motor demand, heat loss
Modes: calculate, compare, sweep
Drawing: Actuator and circuit diagram

EXECUTABLE WORKED EXAMPLE · FIRST-ORDER MODEL · CHECK THE SCOPE & ASSUMPTIONS