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EML 5709 - Fluid Mechanics - Spring 1997
Principles With Selected Applications
Van Dommelen

CATALOG DESCRIPTION

Introductory conceps,description, and kinematical concepts of fluid motion, basic field equations, thermodynamics of fluid flow, Navier-Stokes equations, elements of the effects of friction and heat flow, unsteady one-dimensional motion, selected nonlinear steady flows.

CREDIT HOURS

3

PREREQUISITES

EML 5060, EGM 5611, and graduate standing in Mechanical Engineering.

TEXTBOOKS

The following textbooks will be used:

1. Currie, I. G, Fundamental Mechanics of Fluids. McGraw-Hill Second Edition 1993. ISBN 0-07-015000-1.
2. Spiegel, Murray R, Complex Variables. Schaum's Outline Series, McGraw-Hill, 1964. ISBN 07-060230-1.

REFERENCES

The following references are useful:

1. Batchelor, G. K, An Introduction to Fluid Mechanics. Cambridge University Press 1988.
2. Schlichting, H, Boundary Layer Theory. McGraw-Hill, 1968.
3. Leipmann, H. W, and Roshko, A, Elements of Gasdynamics. John Wiley & Sons, 1957.
4. Karamcheti, Krishnamurty Principles of Ideal-Fluid Aerodynamics. Robert E. Krieger Publishing Co, 1980.

INSTRUCTOR

Dr. Leon Van Dommelen (904) 487-6324
dommelen@eng.famu.fsu.edu http://www.eng.famu.fsu.edu/ dommelen
Office: M 10:30-12, T 3-4 (i.e. before the ME seminar)

TA

None.

TIMES

Class: MW 9:00-10:15
2/05/97 Test 1
3/19/97 Test 2
Final: 10-12 noon tuesday 4/22/96 (FAMU schedule) or TBA.

GOALS

Introduce students to the fundamentals of Fluid Mechanics.

COURSE OUTLINE

The course will cover:

• Basic Concepts. Continuum approximation, Lagrangian and Eulerian approaches, Reynolds transport theorem, constitutive relations, Newtonian fluids, Fourier law, boundary conditions.
• Basic Conservation Laws. Conservation of mass, momentum, and energy and the second law in integral and differential forms. Relationships to computational fluid dynamics.
• Flow Kinematics. Streamlines, streaklines, and path lines; circulation and vorticity; streamtubes and vortex tubes; kinematics of vortex lines. Relationship to the interpretation of computed solutions.
• Special Forms. Kelvin's theorem; Bernoulli equation, vorticity equation. Relationships to viscous/inviscid decompositions, wingtip vortices, bathtub vortices and computational methods.
• Basic Complex Variables. Basic complex functions, polar forms, roots, conformal mappings, contour integrals. Relevance to problems in fluid mechanics and other fields.
• Two-Dimensional Potential Flows. Velocity potential and stream function; complex form; simple solutions; superposition; circular cylinder with circulation; Blasius' integral laws; conformal transformations; flow about ellipses, lift on airfoils.
• Viscous Flows. Couette flow; Poiseuille flow; flow between rotating cylinders; flow near an impulsively moved surface. Computational issues.
• Boundary Layers. The limit of small viscosity; matched asymptotic expansions; boundary layer equations; boundary layer along a flat plate; Karman-Pohlhausen approximation; boundary layer separation; notes on transition and turbulence.
• One-Dimensional Inviscid Compressible Flows. Shocks and expansion waves; governing equations; compatibility equations; small perturbation approximation; method of characteristics.

METHODS OF INSTRUCTION

Lectures, problem solving sessions, examinations.

STUDENT EVALUATION

The course grade will be computed as:

• Homework: 25%
• Exams: 50%
• Final: 25%

Students may not copy homework or tests or allow others to copy their homework or tests. Violations will result in reduced credit and a failing final grade.
Homework must be handed in at the start of the lecture at which it is due. It may not be handed in at the departmental office. Homework that is not received at the start of class on the due date listed above cannot be made up unless permission to hand in late has been given before the homework is due, or it was not humanly possible to ask for such permission before the class. If there is a chance you may be late in class, hand the homework in to the instructor the day before it is due. (Shove it under his door if necessary.)
Tests will be loosely based on the homework.
Immediately check the dates listed above for any conflicts.
Students are bound by the honor code of their university. It requires you to uphold academic integrity and combat academic dishonesty. Please see your student handbook.

COMPUTER REQUIREMENTS

This class requires students to have an E-mail account. E-mail must be checked daily. Course information will be distributed through a mailing list; all students will be entered on this list. Questions to the instructor of a nonpersonal nature should be send to the mailing list, instead of directly to the instructor's E-mail address.

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