Modeling the flow of fluids in two dimensional square mixing chamber

Overview of Project

This project aims at modeling the flow in the given two dimensional square mixing. The methods used to model the flow are non-dimensional continuity equation and Navier - Stokes equation, which carries both the diffusive and convective terms of the non-dimensional velocities and mass fraction. Along with this a cell centered values of non-dimensional velocity component u and v, which are on staggered mesh has been calculated by transporting using the 2nd order averaging method in order to calculate the convective term of mass fraction Y. Moreover, this report also sheds light on various performance parameters such as mixing coefficient and kinetic energy, that can be used to evaluate the solution and understand the nature of flow at certain instances in time in the given domain. A detailed analysis for solution verification has been performed using the Grid Convergence Index (GCI).

Takeaway from Project

This work presents a detailed a detailed view on how the changes in Reynold’s number impact the mixing in the given solution domain. Upon completing this work, I was able to apply Navier-Stokes Equation with ease to any two-dimensional domain upon understanding the flow direction of single or multiple fluids and the way of their interaction with each other. This report sums up the entire learnings from Computational Fluid Dynamics course that I took at Arizona State University.

Software Used

• MATLAB

Project Completed - May, 2020