Course content

Fluid properties, viscosity. Velocity field, substantial derivative, streamlines and pathlines. Pressure distribution in stationary and accelerated systems. Rotating container. Manometry. Bouyancy. Reynolds transport theorem. Dimensional analysis and non-dimensional groups. Continuity equation, momentum equation and angular momentum equation for control volumes. Energy equation and Bernoulli equation. Boundary conditions for the basic equations of fluid mechanics. Streamlines, vorticity and rotation, viscous stresses and strain rates. Reynolds number. Qualitative aspects of turbulence. Laminar and turbulent pipe flow. Boundary layer concepts. External flow. Elementary numerical calculation and visualisation. Turbo-machinery and hydro power plants: types of hydraulic turbines, main components, small hydro power plants and pumps, turbine scaling laws. Cavitation. Examples of fluid mechanics problems related to renewable energy.

Learning outcome

After completing the course the student should have understanding of the theoretical foundations of ideal and real fluid flows. The student should be able to to formulate and solve practical flow problems in all knowledge categories in the following. 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. - Basic dimensional analysis and important dimensionless groups. - Continuity equation, momentum equation and angular momentum equation for control volumes. - Energy equation and Bernoulli equation. - Boundary conditions for the basic equations of fluid mechanics. - Streamlines, 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. - Drag and lift - Examples from contemporary fluid mechanics research. Main components of hydro power plants and hydro turbines - calculating power extraction and production in hydropower plants and pump systems. 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. - Elementary numerical calculation and visualisation using appropriate software introduced in the course. 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 and self-study. A specified number of the exercises as well as a laboratory exercises must be approved before final exam.

The subject is merged with TEP4100. Content that differs between the two will be taught separately, and students will receive detailed information about this at the beginning of the semester.

Compulsory assignments

• Exercises
• Laboratory exercises

Specific conditions

Recommended previous knowledge

IMAT1001 Mathematical methods 1, IMAT2011 Mathematical methods 2 for Electrical engineering and Renewable energy, IFYKJT1001 Physics/chemistry and og FENT1001 Introduction to Renewable Energy

Required previous knowledge

Admission to the course requires the aceptance to the study program in Renewable Energy (BIFOREN), NTNU

Course materials

Yunus A. Cengel & John M. Cimbala "Fluid Mechanics - Fundamentals and Applications" 3rd or 4th Edition in SI-Units, McGraw-Hill.

Credit reductions