Petroleum Capillary Number Calculator

DeclaredcapillarynumberCa=μU/σ,SI/superficialDarcyvelocityconvention not porevelocity;no universal displacementefficiency.

Description

Capillary number compares viscous and interfacial effects under a declared velocity convention.

Capillary number compares viscous and interfacial effects under a declared velocity convention.1

This implementation uses superficial Darcy velocity, so pore velocity would change the calculation basis.

When to use Petroleum Capillary Number Calculator

Use this tool to apply the stated petroleum capillary number calculator operation with an explicit input and unit basis.

How to use Petroleum Capillary Number Calculator and how it works

  1. Establish the measurement basis and units described above.
  2. Enter actualDynamicViscosity, actualDarcyVelocity, actualInterfacialTension and run the tool.
  3. Read result.value using the output meanings below.
  4. If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
Input fieldMeaningValue typeRequirement
actualDynamicViscosityDynamic viscosity, on the basis specified in the algorithm.numberrequired; finite; strictly positive; further conditions in the algorithm
actualDarcyVelocityDarcy velocity, on the basis specified in the algorithm.numberrequired; finite; nonnegative; further conditions in the algorithm
actualInterfacialTensionInterfacial tension, on the basis specified in the algorithm.numberrequired; finite; strictly positive; further conditions in the algorithm

Require positive dynamic viscosity and interfacial tension and nonnegative Darcy velocity. Multiply viscosity by velocity and divide by tension.

Ca = μ U / σ

Apply the declared units, ordering and branch conditions.

Output fieldMeaningValue type
resultObject containing the declared output fields.object
result.valueDimensionless capillary number using Darcy velocity.number
json
{
  "input": {
    "actualDynamicViscosity": 1,
    "actualDarcyVelocity": 1,
    "actualInterfacialTension": 2
  },
  "output": {
    "result": {
      "value": 0.5
    }
  }
}

Limitations and assumptions

The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.

Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A successful false boolean, negative signed difference, empty slice or unresolved tie is distinct from an input error. Very large inputs or outputs may be rejected by shared resource limits.

Alternative or Complementary methods

For a related operation, use Petroleum Water Density Calculator. Petroleum water density depends on composition, salinity, pressure and temperature.

For a related operation, use Petroleum Hydrostatic Pressure Calculator. Hydrostatic gauge pressure is the pressure increment from a vertical fluid column.

References

  1. Petroleum Capillary Number Calculator — tool.io

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