Cylinder Radial Heat Conduction (Q=2πkL·ΔT/ln(r₂/r₁))

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

{
  "mcpServers": {
    "elysiatools-cylinder-radial-conduction": {
      "name": "cylinder-radial-conduction",
      "description": "Compute radial steady-state heat conduction through a single-layer cylindrical wall (Fourier's law in cylindrical coordinates): radial heat flow rate Q = 2π·k·L·ΔT/ln(r₂/r₁) (W), inner-surface heat flux q_inner = Q/(2π·r₁·L) (W/m²), outer-surface heat flux q_outer = Q/(2π·r₂·L) (W/m²), and cylindrical thermal resistance R = ln(r₂/r₁)/(2π·k·L) (K/W). k is the thermal conductivity (W/(m·K)); L the cylinder length; r₁ the inner radius, r₂ the outer radius (must have r₂ > r₁ > 0); ΔT the temperature difference (K; a °C difference equals a K difference, a °F difference is converted by ×5/9). ΔT may be negative (indicating reverse heat flow), but k, L, r₁ and r₂ must be positive. Length and radius in 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
}
  }
}