Matlab code: You are tasked to model the flow in the two-dimensional rectangular mixing chamber of size Lx = 4 and Ly = 4 depicted using the non-dimensional continuity equation, 2D Navier-Stokes equations, and a convective/diffusive transport equation for the mass fraction Y of a chemical species with a Schmidt number of Sc = 1.5. The fluid in the chamber with Reynolds number Re = 20 is initially at rest with zero mass fraction of the chemical species. At the initial time, inlets 1, 2, and 3 are opened, each issuing fluid with fully developed laminar channel velocity profiles (parabolic profile) and composition. All mixing chamber walls are no-slip and have zero flux of the chemical species. Note, these are the initial and boundary conditions.
The performance of the mixing chamber shall be measured by the average tangential force at the sensor F¯ and the total amount of B of chemical species leaving the chamber in the first 10 time units. You are tasked to find F¯ and B with their error bars (±x%) and visualize and discuss the flow field and mixing in the chamber.
Task -1:
Make a movie of u, v, and Y for 0 ≤ t ≤ 10 for task 1 and upload it to Canvas. Discuss the flow and mixing in the chamber visible in your movies. Indicate in your report's result section that you generated movies.