EngiRef / Formulas

Fourier Heat Conduction (1D)

Heat transfer through a solid by conduction

Heat Transfer

Source Details

Id

thermo-conduction

Name

Fourier Heat Conduction (1D)

Discipline

thermodynamics

Category

Heat Transfer

Latex

Q = -k A \frac{dT}{dx}

Description

Heat transfer through a solid by conduction

Conditions

One-dimensional, steady conduction; sign indicates heat-flow direction

Variables
[
  {
    "symbol": "Q",
    "name": "Heat Transfer Rate",
    "unit": "W",
    "siUnit": "W",
    "imperialUnit": "BTU/hr"
  },
  {
    "symbol": "k",
    "name": "Thermal Conductivity",
    "unit": "W/(m·K)",
    "siUnit": "W/(m·K)",
    "imperialUnit": "BTU/(hr·ft·°F)"
  },
  {
    "symbol": "A",
    "name": "Cross-sectional Area",
    "unit": "m²",
    "siUnit": "m²",
    "imperialUnit": "ft²"
  },
  {
    "symbol": "dT/dx",
    "name": "Temperature Gradient",
    "unit": "K/m",
    "siUnit": "K/m",
    "imperialUnit": "°F/ft"
  }
]
Solve For

Q, k, A

Tags

conduction, fourier, heat transfer, thermal

Is Custom

false