Macroscale boundary conditions for a non-linear heat exchanger

Authors

  • Chen Chen The University of Adelaide
  • Anthony Roberts
  • Judith Bunder

DOI:

https://doi.org/10.21914/anziamj.v56i0.9528

Keywords:

Macroscale, microscale, multiscale, boundary conditions, homogenization, centre manifold theory, dynamical system

Abstract

Multiscale modelling methodologies build macroscale models of materials with complicated fine microscale structure. We propose a methodology to derive boundary conditions for the macroscale model of a prototypical non-linear heat exchanger. The derived macroscale boundary conditions improve the accuracy of the macroscale model. We verify the new boundary conditions by numerical methods. The techniques developed here can be adapted to a wide range of multiscale reaction-diffusion-advection systems.

Published

2015-09-30

Issue

Section

Proceedings Computational Techniques and Applications Conference