1. MAE 5130: VISCOUS FLOWS Lecture 1: Introduction and Overview
August 17, 2010
Mechanical and Aerospace Engineering Department
Florida Institute of Technology
D. R. Kirk

2. COURSE OVERVIEW
Study of Viscous Flows → Flows of Engineering and Scientific Interest
Review of fluid mechanics, properties, vector calculus, kinematics, thermodynamics, and heat transfer (4-5 lectures)
Derivation of governing equations of motion for fluid flows (5-6 lectures)
Navier-Stokes equations in full glory
Differential form
Integral (control volume) form
Gain physical insight into what various terms in equations represent
Supplemented with examples and non-dimensionalization
Common (analytical) solutions to N-S equations (~ 10 lectures)
Examples and applications
Note that N-S equations are fundamental and rigorous, but non-linear, non-unique, complex and difficult to solve (does a solution even exist?)
Boundary layers (important even in flows with low viscosity) (~10 lectures)
Laminar
Stability and transition
Turbulent (also turbulent bulk mean flow)
Application and examples of engineering interest

3. NAVIER-STOKES EQUATIONS

4. EXAMPLES OF EXTERNAL AND INTERNAL B.L.

5. EXAMPLE: VORTICITY ARUND A BEND
Baroclinic Torque
Case 1
Case 2

6. EXAMPLE: VORTICITY AROUND A STRUT

7. EXAMPLE: VORTICITY AROUND A STRUT

8. EXAMPLE: VARIABLE DENSITY CONTRACTION

9. EXAMPLE: SHOCK ENHANCED MIXING

10. STREAMLINE AND STREAM FUNCTION EXAMPLE
y=0
y=1
y=2
f=0
f=1
f=2