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