EngiRef / Thermodynamics Engineering Formula
Fourier Heat Conduction (1D)
Fourier Heat Conduction (1D): Heat transfer through a solid by conduction. A Heat Transfer formula in thermodynamics engineering. Variables Q, k, A and dT/dx…
Heat Transfer
Specification
- 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
- Can solve for
- Q, k, A
- Tags
- conduction, fourier, heat transfer, thermal
Variables
| Symbol | Name | Unit | Si Unit | Imperial Unit |
|---|---|---|---|---|
| Q | Heat Transfer Rate | W | W | BTU/hr |
| k | Thermal Conductivity | W/(m·K) | W/(m·K) | BTU/(hr·ft·°F) |
| A | Cross-sectional Area | m² | m² | ft² |
| dT/dx | Temperature Gradient | K/m | K/m | °F/ft |
Common questions
- What is the Fourier Heat Conduction (1D) formula?
- Heat transfer through a solid by conduction. It sits under Heat Transfer, Thermo engineering in the EngiRef reference.
- What do the symbols in the Fourier Heat Conduction (1D) formula mean?
- In Fourier Heat Conduction (1D), Q is heat transfer rate in W; k is thermal conductivity in W/(m·K); A is cross-sectional area in m²; dT/dx is temperature gradient in K/m.
- When does the Fourier Heat Conduction (1D) formula apply?
- Fourier Heat Conduction (1D) holds under this condition: One-dimensional, steady conduction; sign indicates heat-flow direction.