Quantized Method Solution for Various Fluid-Solid Reaction Models

TL;DR

This paper reviews fluid-solid reaction models and discusses the application of a recent approximate solution technique, the quantized method, to these models, highlighting its potential for solving complex CPDEs in chemical processes.

Contribution

It provides a comprehensive discussion of various fluid-solid reaction models and introduces the application of the quantized method as an approximate solution technique.

Findings

Quantized method effectively approximates solutions for fluid-solid reaction models.

Comparison between numerical and quantized solutions shows promising accuracy.

The approach simplifies solving nonlinear CPDEs in chemical engineering.

Abstract

Fluid-solid reactions exist in many chemical and metallurgical process industries. Several models describe these reactions such as volume reaction model, grain model, random pore model and nucleation model. These models give two nonlinear coupled partial differential equations (CPDE) that must be solved numerically. A new approximate solution technique (quantized method) has been introduced for some of these models in recent years. In this work, the various fluid-solid reaction models with their quantized and numerical solutions have been discussed.