Benchmarking of the construct of dimensionless correlations regarding batch bubble columns with suspended solids: Performance of the Pressure Transform Approach

TL;DR

This paper evaluates the effectiveness of the Pressure Transform Approach in benchmarking dimensionless correlations for batch bubble columns with suspended solids, emphasizing correct variable definitions and physics-based analysis.

Contribution

It introduces and applies the Pressure Transform Approach to improve the benchmarking of dimensionless correlations in complex multiphase systems, reducing errors in variable selection.

Findings

PTA provides straightforward definitions of dimensionless numbers.

PTA improves accuracy in complex multiphase system analysis.

Benchmarking shows enhanced consistency with physical phenomena.

Abstract

Benchmark of dimensionless data correlations pertinent to batch bubble columns (BC) with suspended solids has been performed by the pressure transform approach (PTA). The main efforts have addressed the correct definition of dimensionless groups referring to the fact that solids dynamics and the bubble dynamics have different velocity and length scales. The correct definition of the initial set of variable in the classical dimensional analysis depends mainly on the experience of the investigator while the pressure transform approach (PTA) avoids errors at this initial stage. PTA addresses the physics of the phenomena occurring in complex systems involving many phases and allows straightforward definitions of dimensionless numbers.