Foundations of Fluid Dynamics (And Aerodynamics)

ME421/521 Advanced Fluid DynamicsFall 2018

Instuctor: Prof. Dr. Metin Muradoglu

Office: Eng. 248

E-mail:

Lectures: Monday & Wednesday 13:00-14:15 in ENG-B16

Office Hour: Wednesday 14:45-15:45 or by appointment

TA: TBA

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, lubrication theory with applications in engineering and biological systems, and an introduction to turbulent flows and turbulence modeling. 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

Text

2 lectures

Fundamentals: Molecular motion, continuum hypothesis, introduction to kinetic theory

1.1-1.5

(Vincenti&Kruger)

3 lectures

Introduction to Cartesian Tensors

2 lectures

Preliminary Concepts: Eulerian and Lagrangian descriptions, pathline, substantial derivative, fluid particle acceleration

Chapter 1

(White)

6 lectures

Conservation Laws for Compressible Viscous Flows: 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.

Chapter 2

Chapter 4

(Kundu &Cohen)

7 lectures

Solutions of the Viscous Flow Equations: Classification of solutions; Unidirectional flows; Similarity solutions; Lubrication theory; Creeping motion

(White)

Chapter 5

(Kundu &Cohen)

4 lectures

Laminar Boundary Layer: Boundary layer equations; Similarity solution; Free-Shear Flows; Approximate integral solutions; Thermal boundary layer; Asymptotic solutions.

(White)

Chapter 16

(Kundu &Cohen)

4 lectures

Turbulent Flows: Reynolds decomposition, Reynolds stresses, Reynolds equation. Self similar free shear flows; effective viscosity. Turbulent boundary layers; mixing length hypothesis. Turbulence models

Chapter 6

(White)

(Panton)

ME421/521 Advanced Fluid DynamicsFall 2018

Instuctor: Prof. Dr. Metin Muradoglu

Office: Eng. 248

E-mail:

Grading:

1) Homework, Quizzes and Projects 20%

2) Midterm Exam 35%

3) Final Exam 45%

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: