Description
Calculate one supplied density-weighted Reynolds-stress product.
Atmospheric scalar terms require explicit averaging, spectral, geometric and propagation conventions. One fluctuation product is not a time-averaged flux, a squared deviation is not a full scintillation index, and a Nyquist interval does not de-alias radar velocity. Layer terms require compatible units and model assumptions.
Calculate one supplied density-weighted Reynolds-stress product.
When to use this tool
Use Turbulence Reynolds Stress Term when you already have densityKgPerCubicMeter, firstVelocityFluctuation, secondVelocityFluctuation and need to calculate one supplied density-weighted Reynolds-stress product.
How to use the tool and how it works
- Enter densityKgPerCubicMeter, firstVelocityFluctuation, secondVelocityFluctuation. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read instantaneousStressTermPa. Use the output convention below.
Require density>=0; return -density*firstVelocityFluctuation*secondVelocityFluctuation.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| densityKgPerCubicMeter | Density Kg Per Cubic Meter | Required. Finite number; minimum 0. |
| firstVelocityFluctuation | First Velocity Fluctuation | Required. Finite number. |
| secondVelocityFluctuation | Second Velocity Fluctuation | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| instantaneousStressTermPa | -density*u1Prime*u2Prime in Pa for kg/m³ and m/s; one unaveraged stress contribution. | Required. Finite number. |
{
"input": {
"densityKgPerCubicMeter": 1.2,
"firstVelocityFluctuation": 2,
"secondVelocityFluctuation": -0.5
},
"output": {
"instantaneousStressTermPa": 1.2
}
}Limitations and assumptions
- With kg/m³ and m/s components the output is Pa. The minus sign is this stress convention; fluctuations and density are supplied, and no averaging or full stress tensor is computed.
- 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 the complete measurement and physical retrieval model. Include calibration, averaging, source geometry, spectral response and relevant transfer or flow effects when local weights and signal factors cannot establish the desired atmospheric quantity.
References
Similar or alternative tools
- Turbulent Flux Instantaneous Covariance Term
Calculate one supplied instantaneous turbulent covariance product.
- Radiosonde Ascent Speed
Calculate supplied radiosonde mean vertical speed.