ME421/521
Advanced Fluid Dynamics
Fall 2015
Instuctor: Metin Muradoglu
Office: Eng. 248
E-mail: mmuradoglu@ku.edu.tr
Lectures: Monday & Wednesday 16:00-17:15 in CAE-B39
Office Hour: Wednesday 14:30-15:30 or by appointment
Requirements: Mech 301 or equivalent and strong background in differential calculus
Course Objectives:
The course is designed to teach senior and first year graduate mechanical engineering students the
fundamentals of the classical fluid mechanics at an advanced level that is beyond the scope of the first
fluid mechanics course. An introduction to the Cartesian tensors and derivation of flow equations in
various forms. Solutions to the flow equations using scaling and approximations. Creeping flows,
boundary layer theory, unidirectional flows and lubrication theory with applications in engineering
and biological systems. An introduction to modern computational tools and hands-on experience using
a CFD package such as OpenFOAM.
Learning Outcomes
Upon successful completion of this course, a student will:
- be able to use Cartesian tensors to manipulate flow equations;
- understand the derivation and physical interpretation of the flow equations;
- understand and effectively use the scaling and approximations to obtain analytical solutions;
- understand the boundary layer theory, derivation and solution of the boundary layer equations;
- understand the lubrication theory, its limitations and applications;
- understand the concept of flow instability and turbulent flows;
- be able to use modern computational tools and interpret the results.
Tentative Schedule:
Lectures
Topic
2 lectures
Fundamentals: Molecular motion, continuum hypothesis,
introduction to kinetic theory
3 lectures
2 lectures
Introduction to Cartesian Tensors
Preliminary Concepts: Eulerian and Lagrangian
descriptions, pathline, substantial derivative, fluid particle
acceleration
6 lectures
7 lectures
4 lectures
Chapter 1
(White)
Conservation Laws for Compressible Viscous Flows:
Chapter 2
Continuity equation: Mass flux, integral and differential
equations, stream function. Momentum equation: Forces,
stresses, symmetry of stress tensor; properties of second-order,
symmetric tensors; Newtonian fluid; Derivation of momentum
equations, boundary conditions; Euler equations, streamline
coordinates.
Energy equation: First law of thermodynamics, heat transfer,
derivation of energy equation. Derivation of entropy equation,
implications for transport coefficients. General form of Bernoulli
equation.
Solutions of the Viscous Flow Equations: Classification of
solutions; Unidirectional flows; Similarity solutions; Lubrication
theory; Creeping motion
(White)
Laminar Boundary Layer: Boundary layer equations;
Similarity solution; Free-Shear Flows; Approximate integral
solutions; Thermal boundary layer; Asymptotic solutions.
4 lectures
Text
1.1-1.5
(Vincenti&Kruger)
Turbulent Flows: Reynolds decomposition, Reynolds
stresses, Reynolds equation. Self similar free shear flows;
effective viscosity. Turbulent boundary layers; mixing length
hypothesis. Turbulence models
Chapter 4
(Kundu &Cohen)
Chapter 5 & 6
(Panton)
Chapter 3
(White)
Chapter 5
(Kundu &Cohen)
Chapter 4
(White)
Chapter 16
(Kundu &Cohen)
Chapter 6
(White)
Chapter 23
(Panton)
Grading:
1) Homework, Quizzes and Projects
2) Midterm Exam
3) Final Exam
30%
30%
40%
Text Book:
Viscous Fluid Flow (strongly recommended and available in bookstore)
by Frank M. White, 3rd edition .
Fluid Mechanics
by Pijush K. Kundu, Ira M. Cohen,Academic Press, 2nd edition .
Incompressible Flow
By R.L. Panton , John Wiley&Sons.
Physical Gas Dynamics (only the first chapter)
By Vincenti and Kruger, Krieger Publishing Co.
Additional References:
An Introduction to Fluid Dynamics
By G.K. Batchelor, Cambridge university Press
Phsical Fluid Dynamics
By D.J. Tritton, Clarendon Press, Oxford, 1988.
Boundary-layer Theory
By Herrmann Schlichting, Klaus Gersten, with contributions from Egon Krause and
Herbert Oertel Jr. translated by Katherine Mayes
Turbulent Flows
By S.B. Pope, Cambridge University Press
Time commitment and ECTS credit:
Activity
Number
Time (hrs)
Lectures
2x14=28
1.25
HWs and Project
14
5
Lab
0
0
Midterm Exam
1
25
Final
1
30
Total Work Load
ECTS Credit: Total Work Load (hrs)/30* = 5.3 ~ 6
* 30 hours of work load is assumed to be 1 ECTS credit
Predicted Total Work Load (hrs)
35
70
0
25
30
160