An approximation to the scale-up of batch processes using phenomenological-based models

This work presents a methodology for scaling up Batch Processes (BPs) using a Phenomenological-Based Semiphysical Model (PBSM) and the Hankel matrix as tools for maintaining the Operating Regime (OR) at each stage of the process when scaling it up. To do this, a review on the scale-up methods differentiating batch from continuous processing is made, finding that: traditional scale-up approaches do not consider BPs characteristics; many particular successful cases of BPs scale-up have been reported, but no formal procedure has been developed for scaling up these processes; traditional scale-up approaches do not guarantee a good commercial unit design; and a phenomenological-based model of the process is a fundamental tool for carrying out the scale-up task. Taking into account these facts, the proposed scale-up methodology is presented in which a PBSM of the process and an extension of the discrete form of the Hankel matrix to BPs are used for analyzing the dynamic behavior of the process and scaling it up, including the effect of the design variables as a whole over each state variable by computing the State Impactability Index (SII). The latter allows determining the most impacted dynamics (the main dynamics) by scale changes at each stage of the batch and, by means of its calculation, the establishment of the critical point of the Operating Trajectory (OT) at which the batch must be scaled-up. Finally, the methodology is applied to a non-isothermal batch suspension polymerization reactor, finding the scale factors for keeping the same polymer molecular weight when increasing the scale. It is also shown that by means of the SII calculation, it is possible to identify if a process unit is over or under sized.

• Autores: Monsalve Bravo, Gloria Milena
• Fecha de publicación: 2014
• Institución: Universidad Nacional de Colombia
• Repositorio: Universidad Nacional de Colombia
• Idioma: spa
• OAI Identifier: oai:repositorio.unal.edu.co:unal/21609
• Acceso en línea: https://repositorio.unal.edu.co/handle/unal/21609; http://bdigital.unal.edu.co/12567/
• Palabra clave: 66 Ingeniería química y Tecnologías relacionadas/ Chemical engineering; Hankel matrix; Scale-up methodology; Batch process; Operating trajectory; Dynamics hierarchy; Phenomenological-based model.; Matriz de Hankel; Metodología de escalado; Proceso por lotes; Trayectoria de operación; Jerarquía de dinámicas; Modelo de base fenomenológica
• Rights: openAccess
• License: Atribución-NoComercial 4.0 Internacional