Course content

Fluid properties, viscosity concept. Hydro- and aerostatics, pressure forces on surfaces. Buoyancy. Accelerating systems. Principles of fluid motion, velocity field, streamlines. Transport theorem. Laminar and turbulent motion. Control volumes. Equation of continuity. Energy equation and Bernoulli's equation. Momentum equation. Differential methods, vorticity and circulation. Stream function. Euler's equation. Navier-Stokes' equation. Viscous stress tensor. Drag and lift, Kutta-Joukowsky's theorem. The Magnus effect. Potential flow, superposition of singularities.

Learning outcome

Provide the basic elements of the theoretical foundations for ideal and real fluid flows. Through problem sessions provide sufficient training to enable the students to formulate and solve practical flow problems.

Knowledge:
After completion of this course, the student will have knowledge on:
- Fluid properties, viscosity.
- Velocity field, substantial derivative, streamlines and pathlines.
- Pressure distribution in stationary and accelerated systems. Rotating container. Manometry. Buoyancy.
- Reynolds transport theorem.
- Continuity equation, momentum equation and angular momentum equation for control volumes.
- Energy equation and Bernoulli equation.
- Euler equations for inviscid flow.
- Navier-Stokes equations for viscous flow.
- Boundary conditions for the basic equations of fluid mechanics.
- Stream function, vorticity and rotation, viscous stresses and strain rates.
- Reynolds number. Qualitative issues on turbulence.
- Laminar and turbulent pipe flow.
- Boundary layer concept.
- Two-dimensional potential theory, velocity potential, some elementary flows, circulation.

Skills:
After completion of this course, the student will have skills on:
- Evaluation of models for flow analysis.
- Use of control volume analysis.
- Computation of forces and moments from fluid on solid bodies.
- Derivation and use of formulae and tables for flows.
- Solution of the basic laws of fluid mechanics for simple flow problems.

General competence:
After completion of this course, the student will have general competence on:
- The basic elements of the theoretical foundations for ideal and real fluid flows.
- Formulation and solution of practical flow problems.

Learning methods and activities

Lectures, example exercises, practice exercises, laboratory exercises and self-study. A specified number of the exercises must be approved before final exam. If there is a re-sit examination, the examination form may be changed from written to oral.

Compulsory assignments

• Exercises

Recommended previous knowledge

Basic knowledge in mechanics and mathematics.
TMA4100 Calculus 1 and TMA4105 Calculus 2 or equivalent courses.

Course materials

Yunus A. Cengel & John M. Cimbala "Fluid Mechanics - Fundamentals and Applications" 2nd Edition in SI-Units, McGraw-Hill, 2010.

Credit reductions