Bora Katabatic Drainage Speed

Evaluate inviscid uniform katabatic parcel acceleration over supplied slope distance/density proxy; no friction, entrainment, sustained Bora wind prediction or safety assessment.

Description

Katabatic drainage accelerates a relatively cold parcel downslope under an idealized buoyancy contrast.

Katabatic drainage accelerates a relatively cold parcel downslope under an idealized buoyancy contrast. An inviscid constant-acceleration calculation omits drag and mixing.1

Evaluate inviscid uniform katabatic parcel acceleration over supplied slope distance/density proxy; no friction, entrainment, sustained Bora wind prediction or safety assessment.

When to use Bora Katabatic Drainage Speed

Use this tool to evaluate inviscid uniform katabatic parcel acceleration over supplied slope distance/density proxy; no friction, entrainment, sustained Bora wind prediction or safety assessment.

Prepare the observed sounding, cloud records or forecast verification data. Check pressure and height coordinates, wind conventions and the stated units.

How to use Bora Katabatic Drainage Speed and understand its results

  1. Prepare the observed sounding, cloud records or forecast verification data. Check pressure and height coordinates, wind conventions and the stated units.
  2. Enter coldLayerTemperatureK, ambientReferenceTemperatureK, downslopeTravelDistanceM, slopeAngleDegrees, gravityMPerSecondSquared, initialDownslopeSpeedMPerSecond using the field table and calculation rules, then run the tool.
  3. Read idealKatabaticAccelerationMPerSecond2, idealKatabaticEndpointSpeedMPerSecond. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
coldLayerTemperatureKCold layer temperature knumberRequired
ambientReferenceTemperatureKAmbient reference temperature knumberRequired
downslopeTravelDistanceMDownslope travel distance mnumberRequired
slopeAngleDegreesSlope angle degreesnumberRequired
gravityMPerSecondSquaredGravity m per second squarednumberRequired
initialDownslopeSpeedMPerSecondInitial downslope speed m per secondnumberRequired

Use positive Kelvin temperatures with cold no warmer than ambient, positive gravity, nonnegative distance/speed and slope from 0° to 90°. Compute the uniform downslope acceleration and nonnegative endpoint speed.

a = g(Tambient−Tcold)/Tambient × sin(slope); endpoint speed = sqrt(initial speed² + 2a distance)

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
idealKatabaticAccelerationMPerSecond2Ideal katabatic acceleration m per second2number
idealKatabaticEndpointSpeedMPerSecondIdeal katabatic endpoint speed m per secondnumber
json
{
  "input": {
    "coldLayerTemperatureK": 280,
    "ambientReferenceTemperatureK": 300,
    "downslopeTravelDistanceM": 1000,
    "slopeAngleDegrees": 30,
    "gravityMPerSecondSquared": 10,
    "initialDownslopeSpeedMPerSecond": 0
  },
  "output": {
    "idealKatabaticAccelerationMPerSecond2": 0.33333333333333326,
    "idealKatabaticEndpointSpeedMPerSecond": 25.81988897471611
  }
}

Limitations and assumptions

Friction, entrainment and evolving temperature are excluded. The result does not predict sustained Bora winds.

Numeric inputs and returned numeric values must be finite; an unrepresentable returned value produces an error. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Foehn Chinook Warming Rate: Model windward dry/saturated ascent then dry lee descent with supplied crest/LCL/lapse rates; explicit rainout/unsaturated descent idealization, not actual Chinook event or environmental profile fit. For a complementary task, use Gradient Wind Curvature Correction: Solve continuous geostrophic-limit normal branch of V²/(fR)+V=Vg with signed curvature, rejecting no-real anticyclonic balance; no anomalous branch, surface gusts or safe-flight inference.

References

  1. Bora Katabatic Drainage Speed — tool.io

Similar or alternative tools

  • Foehn Chinook Warming Rate

    Model windward dry/saturated ascent then dry lee descent with supplied crest/LCL/lapse rates; explicit rainout/unsaturated descent idealization, not actual Chinook event or environmental profile fit.

  • Gradient Wind Curvature Correction

    Solve continuous geostrophic-limit normal branch of V²/(fR)+V=Vg with signed curvature, rejecting no-real anticyclonic balance; no anomalous branch, surface gusts or safe-flight inference.

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