## 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; 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 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 -Biot-Savart 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: