Derive the Navier-Stokes equations and explain the meaning of its terms, including the stress and deformation rate tensors
Compute the flow field for a number of so called exact solutions
Derive the vorticity equation and give a physical explanation of its terms
Use the concepts of stream function and apply the Bernoulli equation
Discuss the principles of and derive the boundary layer approximation of the Navier-Stokes equations, and to give self similar solutions of these equations including simple thermal boundary layers.
Describe the phenomena of separation of streamlines.
Suggest methods for measuring the velocity in a fluid.
Intended learning outcomes *
The student should be able to formulate mathematical models and make relevant approximations of fluid phenomena.
The student should apply these models for simple cases and interpret the results.
The student should gain some skill in carrying out experiments in fluids.
Nine two-hour lectures the first three weeks. In the beginning of week four there is a theoretical test (swe. kontrollskrivning). The course also gives five two-hour exercises and an experimental lab. At the end of the course, students will do a project (group work) with poster presentation.
Literature and preparations
Specific prerequisites *
Basic courses in mathematics, mechanics and physics.