Macroscale boundary conditions for a non-linear heat exchanger

TL;DR

This paper introduces a methodology for deriving improved boundary conditions for macroscale models of non-linear heat exchangers, enhancing their accuracy and applicability to multiscale reaction-diffusion-advection systems.

Contribution

The paper presents a novel approach to derive boundary conditions for macroscale models, specifically tailored for non-linear heat exchangers, with verification through numerical methods.

Findings

Enhanced accuracy of macroscale heat exchanger models

Boundary conditions adaptable to various multiscale systems

Validated methodology through numerical verification

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 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.