GEOSCIENCE & GEOPHYSICS

One-dimensional thermal conduction law

converts the temperature gradient into conductive heat flux density.

qz=−kdTdzq_z=-k\frac{dT}{dz}

symbols, variables and units

q_z:W/m²;k:W/(m·K);T:K;z:m。

applicable conditions and boundaries

Local Fourier heat conduction; convection and internal heat sources need to be included in the energy equation.

formula source code

The following is a copyable LaTeX expression.

q_z=-k\frac{dT}{dz}

Reference and Extended Learning

USGS · Water Science School / Earthquake Hazards ↗

is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.

Fourier heat conductionGeothermal

Same subject formula

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