This project will model and simulate the a radial flow chromatographic column, which has advantages of high throughput over axial column chromatography. The project will benchmark with axial chromatography to compare their performances.
The project involves developing a code for solving the Laplace equation with a free surface. The code will be used to simulate oceanic wave breaking under the potential flow approximation. Consider the project only if :
You are interested in programming & numerical computations.
Reference:
The deformation of steep surface waves on water - I. A numerical method of computation - Longuet-Higgins & Cokelet, Proc. Roy. Soc. 1976
The work is computational and mathematical in nature. It involves developing a Boundary Integral code for solving the Laplace equation with a free-surface. The code will be used to simulate the breaking of capillary-gravity waves in the ocean under the potential flow approximation. Consider the project only if:
Enjoy programming.
Problem Statement: Battery modules composed of series–parallel cell assemblies exhibit non-uniform ageing due to current imbalance, thermal gradients, and heterogeneous operating histories. Conventional models used in battery management systems inadequately capture coupled electrochemical–thermal degradation across cells under realistic, variable charge–discharge cycles. This limits accurate life prediction, safe operation, and degradation-aware control at the module level.
Problem Statement: Industrial BESS energy management systems typically rely on simplified aging assumptions, treating battery degradation as proportional to energy throughput and neglecting operating-condition dependence. Such simplifications lead to aggressive charging and discharging strategies that reduce battery lifetime and distort the true economic value of storage, particularly under variable tariffs, temperatures, and industrial load profiles.
Radial flow chromatography has emerged as an application of choice for high-throughput separation in the biopharma industry. This project will seek to model such columns and compare performance with standard axial chromatographic columns.
Supercritical water or CO2 has been used to pretreat biomass or extract valuable chemicals from it. The work involved in this SLP is to collect literature on the research done in this area, study the research papers in detail, and summarize them in a report.
Enzymatic cascades are conserved set of biochemical reactions, ubiquitously found in many systems. The goal of this project is to develop a suitable machine learning model to predict the reaction structure and kinetics of an enzymatic cascade. The project will involve use of systematic kinetic model simulations of a repertoire of cascades in the context of machine learning models. Candidate is expected to have a strong interest in reaction engineering and have basic training in python programming.
The goal is to develop a general lattice Boltzmann model for high (~10^{-3}) Knudsen numbers flow in porous media. The challenges involve maintaining numerical stability at high Knudsen numbers in complex geometries. Focus will be on specular boundary conditions. The project will involve building and testing a mathematical model with C++/Python code.
This project will exclusively use dynamic models identified using data for MPC of the underlying process. The data based models will be either directly identified as state space models or state space models realized from input-output models. We will start with toy examples to understand the pipeline but eventually apply it to a process of industrial scale.