Adiabatic Boundary Condition¶
An adiabatic condition enforces zero normal heat flux across a boundary:
\[
q_n = -\hat{n} \cdot (\kappa \nabla T) = 0.
\]
- \(q_n\) - outward normal heat flux [W/m\(^2\)]
- \(\hat{n}\) - outward unit normal
- \(\kappa\) - thermal conductivity [W/(m K)]
- \(T\) - solid temperature [K]
Applicability¶
The adiabatic boundary condition is applied when no heat transfer occurs across a solid boundary. It represents a perfectly thermally insulated surface, for which the normal heat flux vanishes.
Typical use cases¶
- Perfect thermal insulation
- Symmetry planes (no normal heat flow)
- Boundaries in vacuum without radiation modeling