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Monin Obukhov Dimensionless Height Term Tool

Calculate monin obukhov dimensionless height term from explicit caller-supplied inputs.

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Description

Return displacement-adjusted dimensionless Monin-Obukhov height.

Atmospheric dynamics uses signed coordinates, rotating-flow approximations, fluctuation definitions and stability conventions. One advection, shear, vorticity or wave term omits parts of the full equations and need not establish the state or stability of an observed atmosphere.

Return displacement-adjusted dimensionless Monin-Obukhov height.

When to use this tool

Use Monin Obukhov Dimensionless Height Term when evaluating the stated local atmospheric dynamic, turbulence, stability or wave term.

How to use the tool and how it works

  1. Enter height, displacement, obukhovLength. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read effectiveHeight, zeta. Use the output convention below.

Return displacement-adjusted dimensionless Monin-Obukhov height. Require height >= displacement >= 0 and obukhovLength != 0; effectiveHeight = height-displacement, zeta = effectiveHeight/length.1

Input fieldMeaning and unitsAccepted input
heightHeightRequired. Finite number.
displacementDisplacementRequired. Finite number; minimum 0.
obukhovLengthObukhov LengthRequired. Finite number.
Output fieldInterpretationReturned shape
effectiveHeightEffective HeightRequired. Finite number.
zetaZetaRequired. Finite number.
json
{
  "input": {
    "height": 10,
    "displacement": 2,
    "obukhovLength": -40
  },
  "output": {
    "effectiveHeight": 8,
    "zeta": -0.2
  }
}

Limitations and assumptions

  • The length may be signed and is supplied; no surface-flux fit, stability function or validity of similarity assumptions is established.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use complete verified fields and an appropriate dynamical model, including coordinate directions, omitted terms and approximation validity, for physical or forecast interpretation.

References

  1. Calculation and input contract: atmospheric-physics/monin-obukhov-dimensionless-height-term — tool.io

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