Math & Numbers

Sensible / Latent Heat Split (SHR = Sensible / Total)

Split an air-conditioning load into sensible and latent components. Total cooling 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. Entering/leaving states are described by dry-bulb temperature T and humidity ratio W; enthalpy h = 1.006·T + W·(2501 + 1.86·T) [kJ/kg da]. Three modes: full air-state split (T1,W1)→(T2,W2), from Qt & Qs (solve SHR + Ql), or from Qt & SHR (solve Qs, Ql).

json· JSON resultOpen tool

Quick start

Call this tool from your code in three languages.

cURL

curl -X POST 'https://api.elysiatools.com/en/api/tools/sensible-latent-heat-split' \
  -H 'Content-Type: application/json' \
  -d '{"mode":"state","t1":26,"w1":10.5,"t2":13,"w2":8.8,"humidityUnit":"g/kg","mda":0.5,"flowUnit":"kg/s","qt":0,"qs":0,"shr":0,"capacityUnit":"kW","decimalPlaces":4}'

API reference

Send a POST request with your inputs as JSON. File parameters require a separate upload first.

Endpoint

HTTP

POST https://api.elysiatools.com/en/api/tools/sensible-latent-heat-split

Parameters

Name	Type	Required	Description
mode	select	No	Full air-state split, from Qt & Qs, or from Qt & SHR.
t1	number	No	Entering (return / coil-on) dry-bulb temperature in °C. Used in 'state' mode.
w1	number	No	Entering humidity ratio W1, in the selected Humidity Unit. Used in 'state' mode.
t2	number	No	Leaving (supply / coil-off) dry-bulb temperature in °C. Used in 'state' mode.
w2	number	No

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:

mcp.json

{
  "mcpServers": {
    "elysiatools-sensible-latent-heat-split": {
      "name": "sensible-latent-heat-split",
      "description": "Split an air-conditioning load into sensible and latent components. Total cooling 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. Entering/leaving states are described by dry-bulb temperature T and humidity ratio W; enthalpy h = 1.006·T + W·(2501 + 1.86·T) [kJ/kg da]. Three modes: full air-state split (T1,W1)→(T2,W2), from Qt & Qs (solve SHR + Ql), or from Qt & SHR (solve Qs, Ql).",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=sensible-latent-heat-split",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

List available tools

After connecting to the SSE endpoint, list the exposed tools:

tools/list

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

Call this tool

Invoke the tool by its id, passing arguments built from its parameters:

tools/call

{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "sensible-latent-heat-split",
    "arguments": {
  "mode": "state",
  "t1": 26,
  "w1": 10.5,
  "t2": 13,
  "w2": 8.8,
  "humidityUnit": "g/kg",
  "mda": 0.5,
  "flowUnit": "kg/s",
  "qt": 0,
  "qs": 0,
  "shr": 0,
  "capacityUnit": "kW",
  "decimalPlaces": 4
}
  }
}

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