Seminar by Prof. Jitendra Kumar, IIT Ropar on 14 Nov 2024

We are happy to announce the following seminar.

Speaker: Prof. Jitendra Kumar, Department of Mathematics, IIT Ropar
Date and time: 14 November 2024, 17:30 hours
Venue: PSB1207
Title: Continuum and Discrete Models in Particulate Systems: Current Challenges and Future Directions

Abstract: Mathematical modelling of particulate systems presents challenges due to the presence of various complex mechanisms influencing the system. There are primarily two approaches for simulating a particulate system – continuum and discrete. This talk will address both aspects of modelling and the associated challenges with each approach.

In the continuum approach, the process is modelled using integro-differential equations, widely known as the population balance equation. Population balance modelling (PBM) is a highly effective tool for tracking the evolution of particle size distribution resulting from various processes, including nucleation, growth, breakage, and aggregation. Population balance models are computationally efficient but require accurate modelling of the physics governing nucleation, growth, and aggregation processes in the form of kernels (kinetic expressions).

On the other hand, the discrete approach, Discrete Element Method (DEM), has proven to be a valuable tool for simulating a wide range of phenomena in granular materials. It accurately models particle-level physics and incorporates various micro-processes into the model. However, it is computationally very expensive for industrial-scale systems. There has been a growing interest in combining these two approaches to enhance their capabilities. In view of this, a multiscale bi-directional PBM–DEM coupling framework is proposed to simulate the aggregation mechanism.