The exhaustive list of topics in Fluid Mechanics in which we provide Help with Homework Assignment and Help with Project is as follows:

- Cartesian Tensors:
- Index Notation, Introduction of Cartesian Tensor, Algebra of Tensors, Tensor fields, Integral Theorems.
- Conservation Equations:
- Properties of fluids, Kinematics, Constitutive equations, Integral and differential form of conservation laws, dimensional analysis.
- Incompressible Inviscid Flow:
- Vorticity dynamics, Bernoulli equation, Irrotational flow: potential flow theory, superposition of solutions, complex potential.
- Incompressible Viscous Flow:
- Exact solutions of Navier-Stokes equations, Low Reynolds number flow.
- Boundary layer theory.
- Non-Newtonian Flow.
- Compressible Flow:
- One-dimensional gas dynamics, Normal shock wave, Method of characteristics.
- Hydrodynamic Stability:
- Method of normal modes, Applications.
- Turbulent Flow:
- Method of averaging, Reynolds Stress, Equations of motion, Fully developed channel flow, Turbulence models.