Theoretical foundations and covariant balances for chemical engineering applications with electromagnetic field

TL;DR

This paper develops a covariant formalism to unify Maxwell equations and balance laws, providing a theoretical foundation for modeling electromagnetic effects in chemical engineering applications involving non-conservative forces.

Contribution

It introduces a covariant framework for analyzing electromagnetic balances in chemical engineering, unifying classical and covariant forms and addressing non-conservative forces.

Findings

Unified covariant and classical balance equations.

Framework for modeling non-conservative electromagnetic effects.

Discussion on determinism in electromagnetic systems.

Abstract

A covariant formalism is used in order to examine the status of Maxwell equations and to unify the concept of balances, for all chemical engineering applications in relation with electrodynamics. The resulting formal structure serves as a discussion in studying the determinism of electromagnetic systems, and examining the theoretical foundations for a general classification of chemical engineering applications when non-conservative forces are concerned. A strategy for modeling such applications is then sketched and the balances for the main conserved and non-conserved extensive quantities are then summarized in their covariant and classical forms.