napkin.
Menu

CALCULATORS / PROCESS AND CHEMICAL ENGINEERING ESTIMATES

Constant-pressure filtration screening calculator

Darcy constant-pressure filtration through supplied total hydraulic resistance.

chemistry-filtration.napkin / editable
✓ checks pass

SCENARIO COMPARISON

Compare the numbers.

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

ScenarioflowL/min
60
48

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.

flow target60.00 L/min✓ passes

BASELINE INPUTS

CALCULATED

flow60 L/min

Edits change the baseline source.

Calculated from your source · not saved
Baseline · Baseline
flow target60.00 L/min ✓ passes
alternative · alternative
flow target48.00 L/min ✓ 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.

flow
flow = pressure*area/(viscosity*resistance) [L/min]

Original worked example

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

Given

pressure
100 kPa
area
0.1 m^2
viscosity
0.001 Pa*s
resistance
10000000000 m^-1

Calculated

flow
60 L/min

Assumptions and limits

Darcy constant-pressure filtration through supplied total hydraulic resistance.

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: Constant-pressure filtration screening. Inputs: area; pressure; viscosity; calibrated resistance parameters. Outputs: conditional filtrate/time estimate. Model scope: Specified chemistry and low-order mass/energy balances. 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: area, pressure, viscosity, calibrated resistance parameters
  • Outputs: conditional filtrate/time estimate
  • Modes: calculate, compare, sweep
  • Drawing: Process balance diagram

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

More in process and chemical engineering estimates