Math & Numbers
AHU Coil Capacity Calculator (Cooling / Heating)
Compute the total, sensible, and latent capacity of an air-handling-unit (AHU) coil from the entering/leaving air state and the dry-air mass flow ṁ_da. Total capacity Qt = ṁ_da·(h1 − h2); sensible capacity Qs = ṁ_da·cp_ma·(T1 − T2) with cp_ma ≈ 1.006 + 1.86·W [kJ/(kg da·K)]; latent capacity Ql = Qt − Qs; Sensible Heat Ratio SHR = Qs / Qt. Each state is described by dry-bulb T plus one humidity input (relative humidity φ, or humidity ratio W); W is derived from the Magnus saturation fit when RH is supplied, and enthalpy h = 1.006·T + W·(2501 + 1.86·T) [kJ/kg da]. Signed result — works for cooling or heating coils.
Quick start
Call this tool from your code in three languages.
curl -X POST 'https://api.elysiatools.com/en/api/tools/ahu-capacity-calculator' \
-H 'Content-Type: application/json' \
-d '{"mda":2.5,"flowUnit":"kg/s","t1":27,"h1Input":"rh","h1Value":50,"t2":14,"h2Input":"rh","h2Value":90,"humidityUnit":"g/kg","capacityUnit":"kW","decimalPlaces":4}'API reference
Send a POST request with your inputs as JSON. File parameters require a separate upload first.
Endpoint
POST https://api.elysiatools.com/en/api/tools/ahu-capacity-calculatorParameters
| Name | Type | Required | Description |
|---|---|---|---|
| mda | number | Yes | Dry-air mass flow rate ṁ_da, in the selected Flow Unit. |
| flowUnit | select | No | — |
| t1 | number | Yes | Entering (coil-on) dry-bulb temperature in °C. |
| h1Input | select | No | — |
| h1Value | number | Yes | Entering humidity value. RH in % (0–100); W in the selected Humidity Ratio Unit. |
MCP integration
Add this tool to your Model Context Protocol server so AI agents can list and call it.
Server configuration
Add this block to your MCP client configuration:
{
"mcpServers": {
"elysiatools-ahu-capacity-calculator": {
"name": "ahu-capacity-calculator",
"description": "Compute the total, sensible, and latent capacity of an air-handling-unit (AHU) coil from the entering/leaving air state and the dry-air mass flow ṁ_da. Total capacity Qt = ṁ_da·(h1 − h2); sensible capacity Qs = ṁ_da·cp_ma·(T1 − T2) with cp_ma ≈ 1.006 + 1.86·W [kJ/(kg da·K)]; latent capacity Ql = Qt − Qs; Sensible Heat Ratio SHR = Qs / Qt. Each state is described by dry-bulb T plus one humidity input (relative humidity φ, or humidity ratio W); W is derived from the Magnus saturation fit when RH is supplied, and enthalpy h = 1.006·T + W·(2501 + 1.86·T) [kJ/kg da]. Signed result — works for cooling or heating coils.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=ahu-capacity-calculator",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}List available tools
After connecting to the SSE endpoint, list the exposed tools:
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Call this tool
Invoke the tool by its id, passing arguments built from its parameters:
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "ahu-capacity-calculator",
"arguments": {
"mda": 2.5,
"flowUnit": "kg/s",
"t1": 27,
"h1Input": "rh",
"h1Value": 50,
"t2": 14,
"h2Input": "rh",
"h2Value": 90,
"humidityUnit": "g/kg",
"capacityUnit": "kW",
"decimalPlaces": 4
}
}
}