General Syllabus AEM 8201
Catalog Description: |
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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; two-dimensional and three-dimensional 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 |
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| 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 |
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| Basic equations of fluid motion | -Inviscid fluids -Newtonian fluids -Stokesian fluids -Incompressible fluids -Boussinesq approximation -Boundary conditions |
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| Special results for inviscid fluids | -Circulation and
vorticity theorems -Vortex lines and sheets -Biot-Savart law -Bernoulli equation and applications |
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| Irrotational flow of an incompressible fluid | -General properties -Examples of 3D flows -Growth and collapse of a spherical bubble -Flow past bodies of revolution |
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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: 2007-07-24 at 10:04:43 -- this is in International Standard Date and Time Notation