I. Two Dimensional Boundary Layers

1. Introduction to Viscous Flows:
 Conditions at a fluid solid boundary, laminar transport processes, Prandtl's boundary layer concept, separation and the Kutta condition, basic notions of turbulent flow.

2. Integral Boundary Layer Equations and Solutions for Laminar Flow:
 The integral momentum equation, the Pohlhausen method, the Thwaites-Walz method.

3. Differential Boundary Layer Equations:
 The continuity equation, the momentum equation, modeling of the laminar shear stress.

4.  Exact and numerical solutions of the differential boundary layer equations for laminar, constant-property incompressible flows:
 Fully developed flow in a tube. Similarity solutions; Blasius solution for flow over a flat plate, similar solutions with pressure gradient. Numerical solutions; the linear model equation, round off error, stability, explicit and implicit methods.

5. Transition to Turbulent Flow
 Hydrodynamic stability theory, the e10 method, the   based method of  Michel to predict transition, selected emprical information.

6. Introduction to Turbulent Boundary Layers:
 Emprical information on the mean flow, emprical turbulence information, Reynolds averaged Navier Stokes equations, mean flow turbulent transport formulations, mean flow integral methods.

7. Calculation of Airfoil Lift and Drag by Viscous Inviscid Coupling:

II. Compressible  Aerodynamics

1. Introduction and Review:
 First law of thermodynamics, second law of thermodynamics,  isentropic relations, compressibility, governing equations for inviscid compressible flow.

2. Steady One Dimensional Compressible Flow:
 Normal shock waves, one dimensional flow with heat and momentum transfer.

3. Oblique Shock and Expansion Waves.

4. Quasi One Dimensional Flow:
 Compressible flow through nozzles, diffusers and wind tunnels.

5. Subsonic Compressible Flow Over Airfoils; Linear Theory.

6.  Linearized Supersonic Flow.

7. Compressible One Dimensional Steady Flows With Heat or Mass Transfer:
Governing equations, Fanno Flow, Rayleigh Flow
 

III. Laboratory

Velocity and pressure measurements in  wind tunnels, optical methods, hot wire anemometry.
 
 

Grading:
 Attendance  : % 5
 Homework, quiz, laboratory  : % 15
 Midterm 1   : % 20
 Midterm 2   : % 20
 Final           : % 40

Note: A calculator and fluid property data sheet must always be available with the student in class.

1. Schetz J. A., "Foundations of Boundary Layer Theory for Momentum, Heat and Mass Transfer", Prentice Hall, 1984, ISBN: 0-13-329334-3.

2. Schetz J. A., "Boundary Layer Analysis", Prentice Hall, 1993,
 ISBN: 0-13-086885-X.

3. Schlichting H., "Boundary Layer Theory", McGraw-Hill.

4. Cebeci T., Bradshaw P., "Momentum Transfer in Boundary Layers", McGraw Hill Series in Thermal and Fluids Engineering, 1977, TA357.C4, ISBN: 0-07-010300-3.

5. White F. M., "Viscous Fluid Flow", Second Edition, McGraw Hill, 1991,
 ISBN: 0-07-100995-7 (International Edition).

6. Fox R. W. and McDonald A. T., "Introduction to Fluid Mechanics", John Wiley and Sons, 1985, TA357.F69, ISBN: 0-471-82106-3.

7. Anderson J. D., "Fundamentals of Aerodynamics", second edition, McGraw Hill,  1991, TL570.A677, ISBN: 0-07-100767-9 (International Edition).

8. Anderson J. D., "Modern Compressible Flow With Historical Perspective", second edition, McGraw Hill, 1990, ISBN:0-07-100665-6 (International Edition)

9. Liepmann H. W., and Roshko A., "Elements of Gasdynamics", John Wiley and Sons, 1957, ISBN: 0-471-53460-9.

10.  Shapiro A. H., "The Dynamics and Thermodynamics of Compressible Fluid Flow", Volume I and II, The Roland Press, 1953.

11. Zucrow M. J. and Hoffman J. D., "Gas Dynamics", Volume I and II, John Wiley and Sons, 1976, ISBN: 0-471-98440-X (v.1), 0-471-018066-6 (v.2)

12.  Aksel M. H., Eralp O. C., "Gas Dynamics", Prentice Hall, 1994,
 ISBN: 0-13-497728-9.