Kelvin Wave Speed Thermocline Calculator

Idealnonrotatinglonginternaltwo-layerKelvinwavespeed√(g′h1h2/(h1+h2)),rigidlid/sharpthermocline,not seicheperiod. Actual independent model/unit/frame/epoch/calibration and applicable measurement established;not precise ephemeris,forecast,geodesy operation,identity or safety approval.

Description

A two-layer internal-wave model relates propagation speed to layer depths and reduced gravity.

A two-layer internal-wave model relates propagation speed to layer depths and reduced gravity.^[1]

Its rigid-lid, sharp-interface assumptions require independently established density and depth observations.

When to use Kelvin Wave Speed Thermocline Calculator

Use this tool to apply the stated kelvin wave speed thermocline calculator operation with an explicit input and unit basis.

How to use Kelvin Wave Speed Thermocline Calculator and how it works

Establish the measurement basis and units described above.
Enter callerGravity, actualPositiveLowerMinusUpperDensity, callerMeanReferenceDensity, actualUpperLayerDepth, actualLowerLayerDepth and run the tool.
Read result.value using the output meanings below.
If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.

Input field	Meaning	Value type	Requirement
callerGravity	Gravity, on the basis specified in the algorithm.	number	required; finite; strictly positive; further conditions in the algorithm
actualPositiveLowerMinusUpperDensity	Positive lower minus upper density, on the basis specified in the algorithm.	number	required; finite; strictly positive; further conditions in the algorithm
callerMeanReferenceDensity	Mean reference density, on the basis specified in the algorithm.	number	required; finite; strictly positive; further conditions in the algorithm
actualUpperLayerDepth	Upper layer depth, on the basis specified in the algorithm.	number	required; finite; strictly positive; further conditions in the algorithm
actualLowerLayerDepth	Lower layer depth, on the basis specified in the algorithm.	number	required; finite; strictly positive; further conditions in the algorithm

Require positive gravity, lower-minus-upper density, reference density and both depths. Evaluate the square root of reduced gravity times the harmonic depth combination.

speed = √((g Δρ/ρref) h₁h₂/(h₁+h₂))

Apply the declared units, ordering and branch conditions.

Output field	Meaning	Value type
result	Object containing the declared output fields.	object
result.value	Ideal internal-wave speed in the coherent length/time unit.	number

json

{
  "input": {
    "callerGravity": 1,
    "actualPositiveLowerMinusUpperDensity": 2,
    "callerMeanReferenceDensity": 1,
    "actualUpperLayerDepth": 1,
    "actualLowerLayerDepth": 1
  },
  "output": {
    "result": {
      "value": 1
    }
  }
}

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 Oxygen Solubility Salinity Correction Calculator. An oxygen-solubility salinity correction needs a calibration for the same temperature and pressure.

For a related operation, use Brunt Vaisala Frequency Thermocline Calculator. Brunt–Väisälä frequency summarizes stable water-density stratification using a positive-down vertical gradient.

References

Kelvin Wave Speed Thermocline Calculator — tool.io

Similar or alternative tools

Oxygen Solubility Salinity Correction Calculator
An oxygen-solubility salinity correction needs a calibration for the same temperature and pressure.
Brunt Vaisala Frequency Thermocline Calculator
Brunt–Väisälä frequency summarizes stable water-density stratification using a positive-down vertical gradient.