Math & Numbers
按效能-NTU 法（ε-NTU）计算换热器：C*=C_min/C_max（0–1），NTU=U·A/C_min，q_max=C_min·(T_h,in-T_c,in)，ε=q_actual/q_max。支持四种构型：顺流 ε=[1-exp(-NTU(1+C*))]/(1+C*)；逆流 ε=[1-exp(-NTU(1-C*))]/[1-C*·exp(-NTU(1-C*))]，C*=1 时取 NTU/(1+NTU)；管壳式 1-2 级 ε=2/[1+C*+√(1+C*²)·(1+exp(-NTU√(1+C*²)))/(1-exp(-NTU√(1+C*²)))]；叉流（两侧不混合）ε=1-exp{(NTU^0.22/C*)·[exp(-C*·NTU^0.78)-1]}。C*=0（一侧相变，锅炉/冷凝器）统一取 ε=1-exp(-NTU)。可选填 T_h,in、T_c,in，则反推实际传热速率 q=ε·q_max 及两出口温度。温度仅用于差值：Δ°C=ΔK，°F 差×5/9=ΔK。
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-exchanger-ntu' \
-H 'Content-Type: application/json' \
-d '{"exchangerType":"counter","hotCapacityRate":1000,"coldCapacityRate":1500,"overallU":500,"area":10,"hotInletTemp":0,"coldInletTemp":0,"tempUnit":"°C","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-exchanger-ntu| 参数名 | 类型 | 必填 | 说明 |
|---|---|---|---|
| exchangerType | select | 否 | Exchanger arrangement: Parallel Flow, Counter Flow, Shell-and-Tube (1 shell pass / 2 tube passes), or Crossflow (single pass, both fluids unmixed). |
| hotCapacityRate | number | 是 | Hot-side heat-capacity rate C_h = ṁ_h·c_p,h in W/K. |
| coldCapacityRate | number | 是 | Cold-side heat-capacity rate C_c = ṁ_c·c_p,c in W/K. |
| overallU | number | 是 | Overall heat transfer coefficient U in W/(m²·K). |
| area | number | 是 |
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-exchanger-ntu": {
"name": "heat-exchanger-ntu",
"description": "按效能-NTU 法（ε-NTU）计算换热器：C*=C_min/C_max（0–1），NTU=U·A/C_min，q_max=C_min·(T_h,in-T_c,in)，ε=q_actual/q_max。支持四种构型：顺流 ε=[1-exp(-NTU(1+C*))]/(1+C*)；逆流 ε=[1-exp(-NTU(1-C*))]/[1-C*·exp(-NTU(1-C*))]，C*=1 时取 NTU/(1+NTU)；管壳式 1-2 级 ε=2/[1+C*+√(1+C*²)·(1+exp(-NTU√(1+C*²)))/(1-exp(-NTU√(1+C*²)))]；叉流（两侧不混合）ε=1-exp{(NTU^0.22/C*)·[exp(-C*·NTU^0.78)-1]}。C*=0（一侧相变，锅炉/冷凝器）统一取 ε=1-exp(-NTU)。可选填 T_h,in、T_c,in，则反推实际传热速率 q=ε·q_max 及两出口温度。温度仅用于差值：Δ°C=ΔK，°F 差×5/9=ΔK。",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=heat-exchanger-ntu",
"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-exchanger-ntu",
"arguments": {
"exchangerType": "counter",
"hotCapacityRate": 1000,
"coldCapacityRate": 1500,
"overallU": 500,
"area": 10,
"hotInletTemp": 0,
"coldInletTemp": 0,
"tempUnit": "°C",
"decimalPlaces": 4
}
}
}有问题或反馈？请联系 [email protected]
| Heat transfer area A in m². |
| hotInletTemp | number | 否 | Hot-side inlet temperature T_h,in, in the selected Temperature Unit. Optional; when supplied together with T_c,in the actual heat-transfer rate and both outlet temperatures are returned. |
| coldInletTemp | number | 否 | Cold-side inlet temperature T_c,in, in the selected Temperature Unit. Optional; when supplied together with T_h,in the actual heat-transfer rate and both outlet temperatures are returned. |
| tempUnit | select | 否 | Unit of the inlet temperatures. Only differences matter: Δ°C = ΔK and Δ°F ×5/9 = ΔK. |
| decimalPlaces | number | 否 | — |
JSON 结果
{
"key": {...},
"metadata": {
"key": "value"
},
"error": "Error message (optional)",
"message": "Notification message (optional)"
}