HW 7

Problem 1

Modify the CFD from Scratch notes slot jet to have open/free stream boundary conditions on the sides.

Problem 2

Add a transport equation for mixture fraction.

Problem 3

Relax the constant pressure assumption, taking $\rho=\rho(\xi)$, and using an equilibrium relation for $\rho(\xi)$.

• You can compute $\rho(\xi)$ offline to create an array of $\rho_i(\xi_i)$, and then create an interpolation function to evaluate $\rho(\xi)$ at any $\xi$.
• Use the variable density presssure treatment from Saad 2018, with notes as discussed in class.

Problem 4

Use your code to solve a laminar slot jet flame for methane combustion in air at 1 atm and 300 K for fuel and air. Make a streamline plot of velocity and a contour plot of temperature.