Mechanical / Thermal

1D Heat Conduction

Solve the 1D transient heat equation ∂T/∂t = α ∂²T/∂x² using explicit finite differences. Returns the steady-state temperature profile across a slab for given boundary conditions.

∂T/∂t = α ∂²T/∂x²

INPUTS

Slab ThicknessmWall or slab thickness

Left Boundary Temp°C

Right Boundary Temp°C

Initial Temperature°C

Thermal Diffusivitymm²/sSteel≈117 · Concrete≈0.7 · Glass≈0.34 (all ×10⁻⁶ m²/s)

Simulation DurationsTotal time to simulate

RELATED KNOWLEDGE

Thermal Management: Conduction, Convection, and Heat Exchanger Design

12 min read · Thermal Systems

1D Transient Heat Conduction: Finite Difference Method and Thermal Diffusivity

10 min read · Thermal Engineering

▶

Set your inputs and click Run Simulation