Math & Numbers

Heat Convection Calculator (Newton's Law, q=hΔT)

Compute convective heat transfer (Newton's law of cooling): heat flux q = h·ΔT (W/m²), heat flow rate Q = h·A·ΔT (W), and convective thermal resistance R_conv = 1/(h·A) (K/W). h is the convective heat-transfer coefficient (W/(m²·K)); ΔT is the temperature difference between the surface and the fluid (K; a °C difference equals a K difference, a °F difference is converted by ×5/9); A the heat-transfer area. ΔT may be negative (indicating reverse heat flow), but h and A must be positive. Area in m²/cm².

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/heat-convection-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"heatTransferCoefficient":25,"temperatureDiff":20,"tempUnit":"K","area":1,"areaUnit":"m2","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/heat-convection-calculator

Parameters

Name	Type	Required	Description
heatTransferCoefficient	number	Yes	Convective heat-transfer coefficient h in W/(m²·K).
temperatureDiff	number	Yes	Temperature difference ΔT between the surface and the fluid, in the selected Temperature Unit. May be negative to indicate the reverse heat-flow direction.
tempUnit	select	No	Unit of the temperature difference. This is a difference, not an absolute temperature: Δ°C = ΔK and Δ°F ×5/9 = ΔK.
area	number	No	Heat-transfer area A, in the selected Area Unit.
areaUnit

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-heat-convection-calculator": {
      "name": "heat-convection-calculator",
      "description": "Compute convective heat transfer (Newton's law of cooling): heat flux q = h·ΔT (W/m²), heat flow rate Q = h·A·ΔT (W), and convective thermal resistance R_conv = 1/(h·A) (K/W). h is the convective heat-transfer coefficient (W/(m²·K)); ΔT is the temperature difference between the surface and the fluid (K; a °C difference equals a K difference, a °F difference is converted by ×5/9); A the heat-transfer area. ΔT may be negative (indicating reverse heat flow), but h and A must be positive. Area in m²/cm².",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=heat-convection-calculator",
      "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": "heat-convection-calculator",
    "arguments": {
  "heatTransferCoefficient": 25,
  "temperatureDiff": 20,
  "tempUnit": "K",
  "area": 1,
  "areaUnit": "m2",
  "decimalPlaces": 4
}
  }
}

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