Transient thermal mixed boundary value problems in the half-space

TL;DR

This paper applies Wiener-Hopf and Cagniard-de Hoop techniques to efficiently solve transient thermal mixed boundary value problems in a half-space, providing a rapidly convergent integral solution suitable for quick computation.

Contribution

It introduces a novel combination of classical methods to obtain a rapidly convergent integral solution for transient thermal problems in a half-space.

Findings

Solution can be evaluated quickly on a desktop PC

Integral converges rapidly, ensuring computational efficiency

Applicable to a range of thermal boundary conditions

Abstract

The Wiener-Hopf and Cagniard-de Hoop techniques are employed in order to solve a range of transient thermal mixed boundary value problems on the half-space. The thermal field is determined via a rapidly convergent integral, which can be evaluated straightforwardly and quickly on a desktop PC.