HWM-23806 Fluid Mechanics

Vak

Studiepunten 6.00

Language of instruction:

English

Assumed knowledge on:

BIP-10306 Introductory Physics; AEW-21306 Soil and Water II, MAT-23306 Multivariate Mathematics Applied

Continuation courses:

HWM-30306 Advanced Environmental Hydraulics, HWM-32806 Hydrological Process in Catchments, MAQ-32306 Boundary-layer Processes, MAQ-32806 Atmospheric Dynamics

Contents:

The course focuses on the fluid flows of water as well as air and the associated static and dynamical forces. The three most important conservation laws will be discussed and applied: conservation of mass, conservation of momentum and conservation of energy. Moreover, the subjects of circulation and/or vorticity will be discussed. The course will provide an elaborate introduction to kinematics and vorticity, dimensional analysis, laminar flow and boundary layer theory. The theory will be applied to natural and man-made systems, e.g. atmospheric and open channel flows, flow in closed conduits and discharge measurement structures.

Learning outcomes:

After successful completion of this course students are expected to be able to:
- solve problems in fluid mechanics by using an appropriate mass, momentum or energy balance, both in the contexts of continuous fields and control volumes;
- calculate hydrostatic and -dynamic pressures and resultant forces on structures;
- analyze the stability of a hydraulic structure by setting up a force balance or a balance of moments of force;
- analyze flows and flow fields both in a Lagrangian and an Eulerian framework;
- solve problems of steady flow in open channels and discharge measurement structures, applying the energy equation in hydraulics;
- explain the boundary-layer approximation and the effect of separation and calculate various measures of boundary layer thickness for laminar boundary layers;
- calculate water levels and flow velocity in uniform open channel flow and also Couette flows, when cross sectional area, slope of the channel and roughness are known or can be measured;
- calculate energy losses in closed pipe systems by applying friction coefficients and loss coefficients from literature;
- calculate the vorticity of a given velocity field and analyze the vorticity in idealized vortices: forced vortex, free vortex and Rankine vortex.

Activities:

The subject Fluid Mechanics consists of two parts:
1. a theoretical part consisting of lectures and the solution of problems: attending the lectures; being present at, and participating in the seminars; studying the book; solving problems in relation to fluid mechanics;
2. a practical part consisting of practical experiments: doing practical experiments in the Kraijenhoff van de Leur Laboratory for Water and Sediment Dynamics and working-out the measurements.

Examination:

The mark for the course will be based on written examination of theory and judgment of practical assignments. In a non-compulsory mid-term exam, 50% of the theory is examined. The final exam is in two parts. The first part may be skipped if the mark for the mid-term exam is 5.0 or higher, which is then the mark for part 1. The Fluid Mechanics course consists of 6 credits; 5.25 credits are reserved for the theoretical part, and 0.75 credits for the practical part. The final mark will be determined according to the ratio 5:1.

Literature:

- book Fluid Mechanics by JA Liggett;
- additional reader;
- worked examples;
- lecture notes.