Math & Numbers
按一维稳态傅里叶定律计算平板导热：热流密度 q=k·ΔT/d（W/m²）、热流量 Q=k·A·ΔT/d（W）、热阻 R=d/(k·A)（K/W）。k 为导热系数（W/(m·K)）；ΔT 为温差（K，°C 温差与 K 温差相等，°F 温差需乘 5/9）；d 为厚度；A 为截面积。ΔT 可为负（表示反向热流），但 k、d、A 必须为正。厚度支持 m/cm/mm，面积支持 m²/cm²。
用三种语言从你的代码中调用此工具。
curl -X POST 'https://api.elysiatools.com/zh/api/tools/heat-conduction-calculator' \
-H 'Content-Type: application/json' \
-d '{"conductivity":0.04,"temperatureDiff":20,"tempUnit":"K","thickness":0.05,"thicknessUnit":"m","crossSectionArea":1,"areaUnit":"m2","decimalPlaces":4}'以 JSON 形式 POST 提交输入参数。文件类型参数需先单独上传。
POST https://api.elysiatools.com/zh/api/tools/heat-conduction-calculator| 参数名 | 类型 | 必填 | 说明 |
|---|---|---|---|
| conductivity | number | 是 | Thermal conductivity k of the slab material in W/(m·K). |
| temperatureDiff | number | 是 | Temperature difference ΔT across the slab, in the selected Temperature Unit. May be negative to indicate the reverse heat-flow direction. |
| tempUnit | select | 否 | Unit of the temperature difference. This is a difference, not an absolute temperature: Δ°C = ΔK and Δ°F ×5/9 = ΔK. |
| thickness | number | 是 | Slab thickness d, in the selected Thickness Unit. |
| thicknessUnit | select |
将此工具加入你的 Model Context Protocol 服务，让 AI 智能体可以列出并调用它。
将以下内容加入你的 MCP 客户端配置：
{
"mcpServers": {
"elysiatools-heat-conduction-calculator": {
"name": "heat-conduction-calculator",
"description": "按一维稳态傅里叶定律计算平板导热：热流密度 q=k·ΔT/d（W/m²）、热流量 Q=k·A·ΔT/d（W）、热阻 R=d/(k·A)（K/W）。k 为导热系数（W/(m·K)）；ΔT 为温差（K，°C 温差与 K 温差相等，°F 温差需乘 5/9）；d 为厚度；A 为截面积。ΔT 可为负（表示反向热流），但 k、d、A 必须为正。厚度支持 m/cm/mm，面积支持 m²/cm²。",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=heat-conduction-calculator",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}连接到 SSE 端点后，列出已开放的工具：
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}通过工具 id 调用，参数由其参数表构建：
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "heat-conduction-calculator",
"arguments": {
"conductivity": 0.04,
"temperatureDiff": 20,
"tempUnit": "K",
"thickness": 0.05,
"thicknessUnit": "m",
"crossSectionArea": 1,
"areaUnit": "m2",
"decimalPlaces": 4
}
}
}有问题或反馈？请联系 [email protected]
| 否 |
| — |
| crossSectionArea | number | 否 | Cross-section area A of the slab, in the selected Area Unit. |
| areaUnit | select | 否 | — |
| decimalPlaces | number | 否 | — |
JSON 结果
{
"key": {...},
"metadata": {
"key": "value"
},
"error": "Error message (optional)",
"message": "Notification message (optional)"
}