General Syllabus AEM 8201
Catalog Description: 
AEM 8201. Fluid Mechanics I. (3.0 cr; prereq 4201 or equiv, Math 2263 or equiv) Mathematical and physical principles governing the motion of fluids. Kinematic, dynamic, and thermodynamic properties of fluids; stress and deformation; equations of motion; analysis of rotational and irrotational inviscid incompressible flow; twodimensional and threedimensional potential flow. 
Text:
 Fundamental Mechanics of Fluids, I.G. Currie
 Incompressible Fluid Flow, R.L. Panton
 Viscous Fluid Flows, F.M. White
 An Album of Fluid Motion, M. Van Dyke
 An Introduction to Fluid Dynamics, G.K. Batchelor
 Physical Fluid Dynamics, D. Tritton
 Boundary Layer Theory, H. Schlichting
 Vectors, Tensors, and the Basic Equations of Fluid
Mechanics, R. Aris
(Fall 2001)
Course Outcomes:
Students who successfully complete the course will demonstrate the following outcomes by homework, quizzes and final exam.
Course Outline
Week  Topic  
Vector Analysis  Review of basic concepts Transformation of coordinates Vector calculus Integral theorems Orthogonal curvilinear coordinates 

Derivation of fundamental equations of fluid mechanics  Kinematics of
deformable media Reynolds transport theorem Conservation of mass Momentum equation Energy equation (First law of thermodynamics) Entropy principle (Second law of thermodynamics) Thermodynamics of a fluid at rest 

Basic equations of fluid motion  Inviscid fluids Newtonian fluids Stokesian fluids Incompressible fluids Boussinesq approximation Boundary conditions 

Special results for inviscid fluids  Circulation and
vorticity theorems Vortex lines and sheets BiotSavart law Bernoulli equation and applications 

Irrotational flow of an incompressible fluid  General properties Examples of 3D flows Growth and collapse of a spherical bubble Flow past bodies of revolution 

Outcome Measurement:
Your grade will be determined by the following components:
 Homework 30%
 Midterm Exam=30%
 Final Exam 40%
A number of homework problems will be assigned. The homework will be designed to give you practice in applying basic equations and solution methods in order to gain physical insight about various flows.
Last Modified: 20070724 at 10:04:43  this is in International Standard Date and Time Notation