圆筒壁径向导热（Q=2πkL·ΔT/ln(r₂/r₁)）

POST https://api.elysiatools.com/zh/api/tools/cylinder-radial-conduction

{
  "mcpServers": {
    "elysiatools-cylinder-radial-conduction": {
      "name": "cylinder-radial-conduction",
      "description": "按柱坐标稳态傅里叶定律计算单层圆筒壁径向导热：径向热流量 Q=2π·k·L·ΔT/ln(r₂/r₁)（W）、内表面热流密度 q_inner=Q/(2π·r₁·L)（W/m²）、外表面热流密度 q_outer=Q/(2π·r₂·L)（W/m²）、圆筒热阻 R=ln(r₂/r₁)/(2π·k·L)（K/W）。k 为导热系数（W/(m·K)）；L 为圆筒长度；r₁ 为内半径，r₂ 为外半径（必须 r₂>r₁>0）；ΔT 为温差（K，°C 温差与 K 温差相等，°F 温差需乘 5/9）。ΔT 可为负（表示反向热流），但 k、L、r₁、r₂ 必须为正。长度与半径支持 m/cm/mm。",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=cylinder-radial-conduction",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "cylinder-radial-conduction",
    "arguments": {
  "conductivity": 50,
  "length": 2,
  "lengthUnit": "m",
  "innerRadius": 0.05,
  "outerRadius": 0.1,
  "radiusUnit": "m",
  "temperatureDiff": 100,
  "tempUnit": "K",
  "decimalPlaces": 4
}
  }
}