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.
Quick start
Call this tool from your code in three languages.
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
POST https://api.elysiatools.com/en/api/tools/heat-convection-calculatorParameters
| 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:
{
"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:
{
"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": "heat-convection-calculator",
"arguments": {
"heatTransferCoefficient": 25,
"temperatureDiff": 20,
"tempUnit": "K",
"area": 1,
"areaUnit": "m2",
"decimalPlaces": 4
}
}
}