MEEN40190 Mechanics of Fluids III

Academic Year 2023/2024

This is an advanced course in fluid mechanics suitable for mechanical engineering students but may also be of benefit to energy systems and biomedical engineering students. The module is offered during the spring trimester and consists of 36 lectures (3/wk), 3 assignments and 1 end of trimester examination.

There are three major sections as follows:
Section 1 - DIFFERENTIAL ANALYSIS OF FLUID FLOW
Section 2 - TURBULENCE
Section 3 - INVISCID IRROTATIONAL FLOW

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Curricular information is subject to change

Learning Outcomes:

On successful completion of this module the student will be able to:
1. Demonstrate a knowledge and understanding of concepts of conservation and constitutive laws.
2. Formulate the differential conservation equations of mass, momentum and energy.
3. Identify, analyse and solve technical problems through the applications of Navier-Stokes equations.
4. Distinguish the various levels of approximation commonly used in fluid mechanics.
5. Identify, analyse and solve technical problems in potential flow.
6. Plan and conduct experiments, analyse and interpret experimental results.

Indicative Module Content:

DIFFERENTIAL ANALYSIS OF FLUID FLOW: Velocity and acceleration fields; Local and convective acceleration; Substantive derivative; Convective and diffusive fluid transport; Flow visualisation and structure (Material lines; Pathlines and streaklines; Streamlines and streamtubes); Motion and deformation (rigid body motion, deformable body motion, translation, rotation, shear, strain rate tensor); Force and stress fields (surface and body forces, stress tensor, Newtonian fluid); Governing equations (Conservation laws of mass, momentum and energy, conservative and non-conservative form, Newtonian fluids, Navier-Stokes equations, Euler equations, energy equation); Applications of Navier-Stokes equations (plane Poiseuille flow, plane Couette flow, circular Poiseuille flow, lubrication theory);

TURBULENCE: Types of turbulent flow; Vorticity and vorticity transport; Near wall treatment of turbulence; The energy cascade; Taylor and Kolmogorov microscales; Direct numerical simulation; Large eddy simulation; Reynolds averaged Navier-Stokes equations; Reynolds stresses; Turbulence models

INVISCID IRROTATIONAL FLOW: Plane potential flow; Basic Flow Patterns; Combinations of basic flow patterns; Rankine half and full body; Stationary and rotating circular cylinder. Kutta equation; Kutta condition

Student Effort Hours: 
Student Effort Type Hours
Lectures

36
Practical

9
Autonomous Student Learning

75
Total

120
Approaches to Teaching and Learning:
In section one the differential equations of fluid motion are introduced. A number of analytical solutions are introduced at this point limited to steady, incompressible, laminar flow. The equations are finally formatted in a generic form with an initial lead in to the principle of computational fluid dynamics.
In section two the concept of turbulence is developed by introducing concepts such as turbulent scales and the energy cascade. The focus is developing an understanding of energy dissipation within turbulent flows. The section closes with an introduction to the classical closure problem of turbulence and to a number of contemporary turbulence models.
In section three the idea of an inviscid fluid is explored.
The lectures are complimented through a number of assignments in computational fluid dynamics. The aim here is not just to teach the student how to become skilled in the practice of using the tool but also in utilising the tool to gain an understanding of the problem on hand. The assignments are structured to support learning in the lectures throughout the trimester. 
Requirements, Exclusions and Recommendations
Learning Requirements:

MEEN20010 Mechanics of Fluids I


Module Requisites and Incompatibles
Not applicable to this module.
 
Assessment Strategy  
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade
Assignment: Studies using computational fluid dynamics Varies over the Trimester n/a Graded No

30
Examination: Final Examination 2 hour End of Trimester Exam Yes Standard conversion grade scale 40% No

70

Carry forward of passed components
Yes
 
Resit In Terminal Exam
Summer Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing. 
Feedback Strategy/Strategies

• Group/class feedback, post-assessment
• Online automated feedback

How will my Feedback be Delivered?

Not yet recorded.

“Introduction to Fluid Mechanics”
E. J. Shaughnessy, Jr I. M. Katz J. P. Schaffer
Oxford University Press

“ Fundamentals of Fluid Mechanics”
B.R. Munson D. F. Young T. H. Okiishi
John Wiley & Sons

"Fluid Mechanics"
Frank White
8th Edition, McGraw Hill.

"Turbulent Flow"
S. B. Pope
Cambridge University Press
ISBN 978-0-521-59886-6
Name Role
Dr Nikita Belikov Tutor
Timetabling information is displayed only for guidance purposes, relates to the current Academic Year only and is subject to change.
 
Spring
      
Lecture Offering 1 Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Thurs 12:00 - 12:50
Lecture Offering 1 Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Tues 11:00 - 11:50
Lecture Offering 1 Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Tues 16:00 - 16:50
Spring