Below you will find some sample problems that may help you better digest the material for this course. In terms of their scope and depth, they are similar to what you are likely to encounter at the quizzes.

  • Derivation and various forms of the equations of the conservation of mass and momentum
  • Different characterizations of incompressibility
  • Biot-Savart Law
  • Helmholz-Hodge decomposition of vector fields
  • Vorticity equation - derivation, different forms and properties
  • Boundary conditions for the vorticity equation
  • Properties of streamfunction
  • Properties of the hydrodynamic potential and of the potential flows
  • Derivation of the various forms of Bernoulli equation
  • Reynolds transport theorem and Kelvin's circulation theorem