Examination arrangement

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. Euler's equation for inviscid flow and Navier-Stokes equation 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 aspects of turbulence. Laminar and turbulent pipe flow. Boundary layer concepts. External flow. Elementary numerical calculation and visualisation. Turbo-machinery and hydro power plants: wind turbines, 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. - 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. - 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.

Compulsory assignments

• Exercises
• Lab. work

Further on evaluation

The subject is taught as as video-lecture from Trondheim to Gjøvik and Ålesund. The exam text will be the same for FENT2002 Fluid Mechanics and hydraulics, FENA2002 and FENG2002. The re-sit examination might be changed from written to oral.

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

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

Credit reductions