Math & Numbers
Overall Heat Transfer Coefficient (1/U=ΣR)
Compute the overall heat transfer coefficient for series thermal resistances (flat-wall model): total resistance R_total = Σ R_i (K/W), thermal conductance G = 1/R_total (W/K), area-based coefficient U = 1/(R_total·A) (W/(m²·K)), and if a temperature difference is given the heat flow rate Q = ΔT/R_total (W). Each R_i is a layer resistance already containing the area factor (e.g. convection R_conv=1/(h·A), conduction R_cond=d/(k·A), fouling R_foul=R_f''/A). Enter one resistance (K/W) per line, at least one, all positive. ΔT may be negative (reverse heat flow); a °C difference equals a K difference, a °F difference is converted by ×5/9.
Quick start
Call this tool from your code in three languages.
curl -X POST 'https://api.elysiatools.com/en/api/tools/overall-heat-transfer-coefficient' \
-H 'Content-Type: application/json' \
-d '{"resistances":"0.02\n0.5\n0.01","area":1,"temperatureDiff":0,"tempUnit":"K","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/overall-heat-transfer-coefficientParameters
| Name | Type | Required | Description |
|---|---|---|---|
| resistances | textarea | Yes | One thermal resistance per line (K/W), already containing the area factor (e.g. R_conv=1/(h·A), R_cond=d/(k·A), R_foul=R_f''/A). At least one positive value required. |
| area | number | No | Heat transfer area A (m²) used to collapse R_total to the area-based overall coefficient U = 1/(R_total·A). Must be positive. |
| temperatureDiff | number | No | Temperature difference ΔT across the resistance stack, in the selected Temperature Unit. If provided, the heat flow rate Q = ΔT/R_total is computed. 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. |
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-overall-heat-transfer-coefficient": {
"name": "overall-heat-transfer-coefficient",
"description": "Compute the overall heat transfer coefficient for series thermal resistances (flat-wall model): total resistance R_total = Σ R_i (K/W), thermal conductance G = 1/R_total (W/K), area-based coefficient U = 1/(R_total·A) (W/(m²·K)), and if a temperature difference is given the heat flow rate Q = ΔT/R_total (W). Each R_i is a layer resistance already containing the area factor (e.g. convection R_conv=1/(h·A), conduction R_cond=d/(k·A), fouling R_foul=R_f''/A). Enter one resistance (K/W) per line, at least one, all positive. ΔT may be negative (reverse heat flow); a °C difference equals a K difference, a °F difference is converted by ×5/9.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=overall-heat-transfer-coefficient",
"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": "overall-heat-transfer-coefficient",
"arguments": {
"resistances": "0.02\n0.5\n0.01",
"area": 1,
"temperatureDiff": 0,
"tempUnit": "K",
"decimalPlaces": 4
}
}
}