# The Planar Sandwich and Other 1D Planar Heat Flow Test Problems in ExactPack

## TL;DR

This paper details the implementation of various 1D heat flow test problems, including the planar sandwich, in the ExactPack verification package, providing a comprehensive framework for 1D heat transfer validation.

## Contribution

It introduces new classes for planar sandwich heat flow problems and generalizes 1D heat flow modeling within the ExactPack framework.

## Key findings

- Implementation of planar sandwich classes in ExactPack
- Generalized 1D heat flow treatment in Rod1D
- Documentation of multiple related heat flow test problems

## Abstract

This report documents the implementation of several related 1D heat flow problems in the verification package ExactPack. In particular, the planar sandwich class defined by Dawes et al., as well as the classes PlanarSandwichHot, PlanarSandwichHalf, and other generalizations of the planar sandwich problem, are defined and documented here. A rather general treatment of 1D heat flow is presented, whose main results have been implemented in the class Rod1D. All planar sandwich classes are derived from the parent class Rod1D.