eFlow Calculator | Lam Research Group

Electrochemical flow design

Connect electron delivery with cell operation

Enter the current, total flow rate and reactant concentration at the cell inlet to calculate Faradays per mole for any flow cell. Add cell and fluid properties only when the supporting engineering results are needed.

The pressure and temperature results are engineering estimates, not equipment limits.

Primary output Faradays per mole of reactant Requires current, total flow and concentration

Cell operation Any active area and internal volume

Engineering estimates Pressure drop and adiabatic heating

Inputs

Flow-cell parameters

Required for Faradays per mole

All three values are required. Use the total liquid flow through the cell and the reactant concentration after any inlet streams have mixed.

Current (mA) Total cell flow (mL/min) Inlet concentration (mol/L)

Optional electrical and flow-cell properties

These values are not used to calculate Faradays per mole. Add them for the corresponding supporting results.

Cell voltage (V) Active electrode area (cm²) Internal reactor volume (µL)

Fluid properties

Fluid density (kg/L) Heat capacity, Cp (J/kg/K)

Optional rectangular-channel pressure model

Complete every field below to estimate the pressure drop through straight, equal channels. Leave all five blank for other cell geometries.

Channel depth (mm) Channel width (mm) Channel length (mm) Parallel channels Dynamic viscosity (cP)

Results

Calculated flow conditions

Faradays per mole of reactant Not set

Current density Not set

Residence time Not set

Internal reactor volume Not set

Estimated rectangular-channel pressure drop Not set

Adiabatic temperature rise Not set

Reactant molar flow Not set

Electrical power Not set

Calculation summary

Enter the current, total cell flow and reactant concentration, then calculate.

Electrochemical method

Faradays per mole and cell loading

The Faradays per mole value, numerically equal to the electron equivalents delivered per reactant molecule, is calculated as (I/F) ÷ (C × Q), where I is current, F is the Faraday constant, C is reactant concentration at the cell inlet and Q is total volumetric flow through the cell.

Residence time is the entered internal reactor volume divided by volumetric flow rate. Enter the experimentally relevant active area and wetted internal volume for the particular flow cell, including parallel channels where applicable.

Engineering assumptions

Pressure and heating estimates

The optional pressure calculation models steady laminar flow of a Newtonian liquid through straight rectangular channels. Flow is divided equally between the entered number of parallel channels. The estimate excludes tubing, connectors, manifolds, fittings, gas evolution, solids, non-Newtonian behaviour and other local pressure losses.

The temperature calculation assumes all electrical power becomes sensible heat in the liquid, with constant density and heat capacity and no heat loss. It is therefore a conservative adiabatic estimate, not a prediction of the measured outlet temperature.

Tool version 1.0. The calculation uses the 2022 CODATA Faraday constant, 96,485.33212 C mol⁻¹, published by the NIST Reference on Constants. Results support experimental planning but do not replace equipment ratings, pressure testing, thermal analysis or a laboratory risk assessment. Report a Lab Tools issue.