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Rain On Snow Heat Budget Term Tool

Rain sensible heat cooling to zero Celsius available for melting snow already at zero, excluding all other energy fluxes.

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Description

Multiply nonnegative rainMassKg by rainTemperatureC and positive waterSpecificHeat for sensibleHeatJ, divide by positive latentHeatFusion for potentialMeltKg, and cap by availableSnowKg.

A heat-budget component combines mass, temperature difference, heat capacity, and latent heat. Its result depends on coherent energy units and on which heat sources and storage terms the model includes.

Multiply nonnegative rainMassKg by rainTemperatureC and positive waterSpecificHeat for sensibleHeatJ, divide by positive latentHeatFusion for potentialMeltKg, and cap by availableSnowKg.

When to use this tool

Use Rain On Snow Heat Budget Term when you need one ideal heat or phase-change component from supplied values.

How to use the tool and how it works

  1. Enter rainMassKg, rainTemperatureC, waterSpecificHeat, latentHeatFusion, availableSnowKg. 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 sensibleHeatJ, potentialMeltKg, boundedMeltKg. Use the output convention below.

Multiply nonnegative rainMassKg by rainTemperatureC and positive waterSpecificHeat for sensibleHeatJ, divide by positive latentHeatFusion for potentialMeltKg, and cap by availableSnowKg.1

Input fieldMeaning and unitsAccepted input
rainMassKgRain Mass KgRequired. Finite number; minimum 0.
rainTemperatureCNonnegative rain temperature in °C above a 0°C melt reference.Required. Finite number; minimum 0.
waterSpecificHeatPositive specific heat capacity in J/(kg·K).Required. Finite number; strictly above 0.
latentHeatFusionPositive fusion energy in J/kg.Required. Finite number; strictly above 0.
availableSnowKgAvailable Snow KgRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
sensibleHeatJSensible Heat JRequired. Finite number.
potentialMeltKgPotential Melt KgRequired. Finite number.
boundedMeltKgBounded Melt KgRequired. Finite number.
json
{
  "input": {
    "rainMassKg": 10,
    "rainTemperatureC": 5,
    "waterSpecificHeat": 4200,
    "latentHeatFusion": 334000,
    "availableSnowKg": 2
  },
  "output": {
    "sensibleHeatJ": 210000,
    "potentialMeltKg": 0.6287425149700598,
    "boundedMeltKg": 0.6287425149700598
  }
}

Limitations and assumptions

  • Use J/(kg·K) heat capacity and J/kg latent heat, with rain temperature above a 0°C reference. The ideal sensible-heat term omits snow cold content, other energy fluxes, and melt kinetics.
  • 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 energy balance and appropriate physical parameters when modeling actual snow or water behavior.

References

  1. Calculation and input contract: hydrometeorology/rain-on-snow-heat-budget-term — tool.io

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