# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2022/2023

### Timetable information in the Course Catalogue may be subject to change.

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# Undergraduate Course: Fluid Mechanics (Mechanical) 3 (MECE09011)

 School School of Engineering College College of Science and Engineering Credit level (Normal year taken) SCQF Level 9 (Year 3 Undergraduate) Availability Not available to visiting students SCQF Credits 10 ECTS Credits 5 Summary This course addresses four, broad areas of fluid mechanics. The aims are: 1. To develop and apply the concepts introduced in Fluid Mechanics 2 to engineering applications in turbomachinery and flow measurement; 2. To introduce and apply to concepts of similarity and scaling within fluid mechanics; 3. To introduce the Navier Stokes equation and demonstrate its use in simple flows; 4. To review flow measurement devices / techniques, from industrial machines to modern, laser-based methods. Course description 1: Turbomachinery Lecture 1 - Course Overview, Introduction to Turbomachinery Introduction to course content / structure; Introduction to Turbomachinery; Definitions / classifications (pump/turbine, radial/axial, reaction/impulse). Lecture 2 - Euler Head, Francis Turbine Head losses (revision); Definition of Euler Head; Derivation of EulerÂ¿s Equation for a Francis turbine. Lecture 3 - Francis Turbine Blade Design Drawing and analysis of velocity triangles; Selection of guide vane angle; Selection of runner blade angles; Continuity equation for Francis turbine Lecture 4 - Efficiency of rotodynamic machines and sources of loss. Dimensional analysis. Lecture 5 - Similarity laws and Type Number. Introduction to the Pelton turbine. Lecture 6 - Detailed analysis of Pelton turbine and the Wells turbine. Lecture 7 - Wind turbines. Betz limit. Propellers. Lecture 8 - Principles of wind tunnel design. Lecture 9 - Viscous flow modelling. The Navier Stokes equation. Poiseille flow. Lecture 10 - Viscous flow in ducts. Creeping flows and flow past a sphere. Lecture 11 - Mitchell, Rayleigh Step and Journal bearings. Oscillatory flow in pipes, Womersley parameter. Lecture 12 - Flow through porous media. Fluidisation. Lecture 13 - Intoroduction to compressible flows. Jet engines. Thrust and efficiency. Lecture 14 - Propagation of sound waves in air. Speed of sound. Shock wave formation. Mach cone. Sound Pressure Level. Lecture 15 - Linear theory of water wave propagation in deep and shallow water. Energy in a wave. Lecture 16 - Group velocity. Wave refraction. Froude scaling laws for water waves. Breaking waves. Higher order theories. Ship resistance. Leclture 17 - Measurement of turbulent flows. Hot wire and laser Doppler anemometry. Lecture 18 - Outline of Particle Image Velocimetry. Lecture 19 - Course review. Laboratory Experiments Laboratory 1 - Aerofoil An introduction to the fluid mechanics of a simple aerofoil. Qualitative examination of flow behaviour around aerofoil for varying angles of attack, and relationship to qualitative lift performance. Quantitative determination of lift and drag coefficients over a range of angles of attack, and comparison with theory / expectations. Laboratory - 2 Wave tank Generation of sinusoidal waves of different frequency and amplitude in a flume. Measurement of surface elevations and phase velocity. Comparison of measurements with deep and shall water theories. Observation of nonlinearity effects, breaking and capillary waves. Examination of generation and absorption methods. Attendance at the laboratory sessions is an integral part of the course.
 Pre-requisites Students MUST have passed: Fluid Mechanics 2 (SCEE08003) Co-requisites Prohibited Combinations Other requirements None
 Not being delivered
 On completion of the course, the students should be able to 1. Define machine classifications (turbine/pump, centrifugal/radial, reaction/impulse) 2. Explain Euler head, and to derive and use equations for Euler head based upon a Francis turbine 3. To derive and use velocity triangles to design appropriate blade angles for Francis Kaplan, Pelton and Turgo turbines. 4. To discuss the factors affecting the efficiency of rotodynamic machines 5. To define and use flow, head and power coefficients in prediction of performance of similar machines 6. To define and use the fotype number to compare perrmances of different machine families and to select machines appropriate for particular applications. 7. To understand the principles of wind and tidal turbines including the Betz limit. 8. To understand the principles of wind tunnels. 9. To define Reynolds, Froude and Womersly numbers, and use them in fluid flow modelling problems. 10. To qualitatively explain the Navier Stokes equation, and solve for Poiseulle and Couette flows 11. To use Couette flow solution as basis for qualitative analysis of hydrodynamic bearings 12. To evaluate the thrust and efficiency of a jet engine 13. To calculate the speed of sound in air and angles of shock wave propagation 14. To understand the basic concepts of linear water theory and to apply these to practical engineering problems e.g. in the design of wave energy devices 15. To describe the principles of operation of Laser Doppler Anamometry (LDA) and Particle Image Velocimetry (PIV) and design appropiate applications
 Lecture notes, podcasts and videos on LEARN site. Douglas, Gasiorek, Swaffield and Jack "Fluid Mechanics"; 6th Edition, Pearson (2011) Fairly comprehensive cover of most of the course material.
 Graduate Attributes and Skills Not entered Keywords Not entered
 Course organiser Dr Donald Glass Tel: (0131 6)50 4870 Email: Don.Glass@ed.ac.uk Course secretary Miss Jennifer Yuille Tel: (0131 6)51 7073 Email: Jennifer.Yuille@ed.ac.uk
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