The University of Southampton
Courses

# FEEG2003 Fluid Mechanics

## Module Overview

This module begins with the introduction and derivation of the fundamental conservation equations for fluid mechanics (mass, momentum and energy). The application of these equations for solving simple flow problems will be demonstrated. This is followed by sections covering (1) viscous flow theory with an emphasis on boundary layers, (2) potential flow, (3) turbomachinery fluid dynamics, (4) compressible flow (5) turbulence and (6) CFD. The lectures are complemented by 2 laboratory classes with relevance to the taught material.

### Aims and Objectives

#### Learning Outcomes

##### Knowledge and Understanding

Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:

• Conservation laws for mass, momentum and energy.
• Laminar and turbulent boundary layers.
• The importance of common dimensionless groups.
• A basic understanding of compressible fluid flow.
• An awareness of turbulent flow.
• Turbomachinery fluid mechanics.
• Elementary potential flow theory.
##### Subject Specific Intellectual and Research Skills

Having successfully completed this module you will be able to:

• Solve simple one-dimensional flow problems by making appropriate assumptions and by applying sensible boundary conditions.
• Use dimensionless groups to predict the type of flow physics likely to be present.
• Solve simple problems in one-dimensional isentropic and non-isentropic flow.
• Qualitatively appreciate the complexity of turbulence and the need for computational models for turbulent flow
• Solve simple turbomachinery flow problems
• Solve simple potential flow problems.
• Apply CFD methods to calculate simple flows.
##### Transferable and Generic Skills

Having successfully completed this module you will be able to:

• Solve problems systematically
• Researching and reporting assignments

### Syllabus

Conservation Equations [8 lectures] -Revision: streamlines/streak lines/path lines, Bernoulli’s equation, the control volume, mass conservation, momentum conservation. -Deformation, vorticity and rate of strain. -Derivation of the conservation equations (mass, momentum and energy) for a Newtonian fluid using a control volume basis. -Simple applications of the conservation equations (Poiseuille, Couette flow etc.) -Dimensional analysis revisited (Reynolds, Euler, Prantl, Froude, Mach numbers). Introduction to viscous flow [2 lectures] -Aerofoil flow regimes. Types of boundary layers. Integral properties of boundary layers(displacement thickness, momentum thickness and shape factor). Momentum integral equation for a flat plate. Power law approximations for turbulent boundary layers. Drag on a flat-plate for laminar and turbulent flow. Introduction to turbulence and CFD [2 lectures] -Length and time scale range, the need for turbulence models. -Mean and fluctuating quantities. -Averaged conservation equations, Reynolds number. -Mean and fluctuating kinetic energy. -The concept of eddy viscosity. -Best practice guidelines for CFD analysis. Potential flow [4 lectures] -Laplace’s equation, uniform stream, source/sink, line vortex, uniform flow with source, Rankine oval, flow around circular cylinder/doublet, circulation, method of images, lifting flow over circular cylinder and Kutta-Joukowski theorem, Kutta condition. Turbomachinery [2 lectures] -Introduction, elementary pump theory, centrifugal/axial-flow pumps, turbines, wind turbines. One dimensional compressible flow [4 lectures] -Simplify the governing equations to obtain equations for a 1-D compressible Newtonian fluid. -The role of pressure and pressure wave speed in a compressible fluid. The Mach number revisited. -One-dimensional compressible, sub- and super-sonic isentropic flow in convergent-divergent ducts, choked flow. -One-dimensional compressible, sub- and super-sonic non-isentropic flow, normal shocks.

### Learning and Teaching

#### Teaching and learning methods

Teaching and learning methods Teaching methods include: -Lectures -A tutorial session -Laboratory classes Learning activities include: -Worked examples will be completed within the tutorials in an interactive fashion. -Problem sheets will be issued and may be freely discussed in the tutorial sessions. -A lab report and other assignments will be set, marked and returned with comments. -Private study.

TypeHours
Teaching48
Independent Study102
Total study time150

### Assessment

#### Summative

MethodPercentage contribution
Continuous Assessment 20%
Final Assessment  80%

#### Repeat

MethodPercentage contribution

#### Referral

MethodPercentage contribution

#### Repeat Information

Repeat type: Internal & External

Pre-requisite: FEEG1003

### Costs

#### Costs associated with this module

Students are responsible for meeting the cost of essential textbooks, and of producing such essays, assignments, laboratory reports and dissertations as are required to fulfil the academic requirements for each programme of study.

In addition to this, students registered for this module typically also have to pay for:

##### Books and Stationery equipment

It will be useful, but not necessary, to purchase the core text book. F. White, 1999. Introduction to Fluid Mechanics. 7th edition, McGraw-Hill. These currently (8 May 2013) retail for £43.99 from www.amazon.co.uk. This will need to be purchased by the student although there are a limited number of these in the Hartley library. (books) - £43.99

Please also ensure you read the section on additional costs in the University’s Fees, Charges and Expenses Regulations in the University Calendar available at www.calendar.soton.ac.uk.