Essential Mathematics

Lesson 0: Some general instructions

Lesson 1: Functions1 Quiz

Lesson 2: Derivatives1 Topic

Lesson 3: Vector and Vector operations1 Quiz

Lesson 4: Integrals1 Quiz

Lesson 5: Matrix (Linear Algebra)

Lesson 6: Vector Differential Calculus: Grad, Div, Curl

Lesson 7: Vector Integral Calculus: Gauss theorem, Greens and Stokes

Lesson 8: Tensors and Tensor Notation1 Quiz

Lesson 9: Complex Numbers1 Quiz

Lesson 10: ODEs and its solution1 Quiz

Lesson 11: PDEs and its solution1 Quiz

Lesson 13: Taylor Series1 Quiz

Lesson 14: Fourier Series and FFT1 Quiz

Lesson 15: Numerical Differentiation1 Quiz

Lesson 16: Numerical Integration1 Quiz

Lesson 17: Probability and PDF1 Quiz

Lesson 18: Statistics and Regression1 Quiz
Assignment Copy
Assignment: Lesson16
Note: This assignment is very important for this course and will be only manually approved.
Solve the problem of mixing elbow discussed in the last lessons using ANSYS Tools (use the .stp file already shared). Use the boundary condition as, inlet big =20 m/s and 60 C and inlet small as 30 m/s and 100 C. Let the outlet be at ambient pressure. Prepare an excellent report/presentation with all the details. it should include slides that explain the objective, geometry details, boundary conditions, there should a slide on the mesh details ( pictures, section views, mesh quality and cell numbers, etc), there should be a slide on the CFD settings ( like software used with version number, fluid, and its properties, turbulence models, etc). Then a detailed discussion of results with the aid of contour plots, vectors, etc. A final slide on the conclusion and any design recommendation to improve mixing will make the report complete.