MAE 210A – FLUID MECHANICS I
FALL 2014
Instructor
Professor David Saintillan
Email: dstn@ucsd.edu Office: SME 345G
Office hours: Monday, Tuesday 1:00 – 2:00pm (or by appointment)
Teaching assistant
Roberto Alonso
Email: ralonso@eng.ucsd.edu Office: SME 345A
Office hours: Monday 4:00 – 5:00pm in SME 346
Tuesday 4:00 – 5:00pm in SME 347
Lectures
Monday, Wednesday, Friday 11:00 – 11:50am, CSB 005
Course webpage
http://stokeslet.ucsd.edu/mae210a.html
Textbook
Fluid Mechanics
P. K. Kundu, I. M. Cohen, D. R. Dowling
(Academic Press, 5th Edition, 2012)
Grading
Homework: 30%
Midterm Exam: 25%
Final Exam: 45%
The worst homework score will be dropped in the course score calculation.
Exams
Midterm exam: November 5th (tentative date, in class)
Final exam: December 16th 11:30am – 2:30pm (location to be announced)
Exams will be open hand-written notes, closed book.
Prerequisites
Undergraduate Calculus (basic di↵erential equations and linear algebra)
Undergraduate Fluid Mechanics (MAE 101A-B, or equivalent)
Course policies
• Unless otherwise noted, homework is due on the due date by the start of the lecture. Late
turn-in of homework is not accepted unless approved by the instructor ahead of time.
• Discussion of the course material and homework with your classmates is strongly encouraged,
but submitted homework solutions should represent your individual e↵orts (copying someone
else’s solutions or solutions from a book does not qualify).
• You are strongly encouraged to ask questions during the lectures and outside, and to provide
the instructor with feedback on the pace or level of the course.
• If you are unable to attend an exam, you must contact the instructor as soon as possible and
prior to the exam date. Make-up examinations will only be given in case of an emergency.
• Academic integrity violations will not be tolerated. Any violation of academic integrity (such
as cheating or plagiarizing) related to a homework assignment will result in a zero grade for
that assignment. Any violation relating to an examination will result in an “F” grade for
the course and a possible recommendation for dismissal of the student from the University of
California.
1
MAE 210A – FLUID MECHANICS I
TENTATIVE COURSE OUTLINE
• Basic concepts of continuum mechanics: statistical and continuum mechanics, the continuum hypothesis, Knudsen number.
• Mathematical interlude: vectors and Cartesian tensors, Gibbs and indicial notation, change
of coordinate frame, tensor algebra, eigenvalues and eigenvectors, di↵erential calculus, integral
theorems.
• Kinematics of fluid flow: Lagrangian and Eulerian descriptions, material derivative, flow
lines, decomposition of motion, basic flow fields, streamfunctions.
• Conservation laws: conservation of mass, conservation of linear and angular momentum,
conservation of energy, entropy inequality.
• Physical properties of fluids: review of thermodynamics and heat transfer, constitutive
equations, Newtonian and non-Newtonian fluids.
• The Navier-Stokes equations: compressible and incompressible Navier-Stokes equations,
initial and boundary conditions, basic analytical solutions.
• Dimensional analysis and similarity: Buckingham-Pi theorem, dimensionless numbers,
introduction to self-similarity, flow regimes.
• Inviscid flows: Euler equations, general properties of inviscid flows, Bernoulli’s equation.
• Vortex dynamics: vorticity equation, production of vorticity, Helmholtz’s equation, Kelvin’s
theorem, inviscid motion of point vortices.
2
FLUID MECHANICS – BIBLIOGRAPHY
GENERAL REFERENCES
1. Vectors, Tensors and the Basic Equations of Fluid Mechanics, R. Aris (Dover, New
York, 1989).
2. An Introduction to Fluid Dynamics, G. K. Batchelor (Cambridge University Press,
Cambridge, 1967).
3. Physical Hydrodynamics, E. Guyon, J. P. Hulin, L. Petit, and C. D. Mitescu (Oxford
University Press, Oxford, 2001).
4. Understanding Fluid Flow, G. Worster (Cambridge University Press, Cambridge,
2009).
5. Elementary Fluid Dynamics, D. J. Acheson (Clarendon Press, Oxford, 1990).
6. Transport Phenomena, R. B. Bird, W. E. Stewart, and E. N. Lightfoot (Wiley, New York, 1960).
7. A Mathematical Introduction to Fluid Dynamics, A. J. Chorin, J. E. Marsden (Springer, 1993).
8. Fundamental Mechanics of Fluids, I. G. Currie (CRC Press, 2003).
9. Fluid Mechanics, P. K. Kundu (Academic Press, New York, 1990).
10. Fluid Mechanics, L. Landau, and E. Lifschitz (Butterworth-Heinemann, 1987).
11. Incompressible Flow, R. L. Panton (Wiley, New York, 2005).
12. Physical Fluid Dynamics, D. J. Tritton (Oxford University Press, New York, 1990).
13. An Album of Fluid Motion, M. Van Dyke (The Parabolic Press, Stanford, 1982).
14. Viscous Fluid Flow, F. M. White (McGraw-Hill, New York, 2005).
15. An Introduction to Theoretical Fluid Mechanics, S. Childress (American Mathematical Society,
Providence, 2009).
SPECIALIZED REFERENCES
1. Complex Variables – Introduction and Applications, M. J. Ablowitz, and A. S. Fokas (Cambridge
University Press, Cambridge, 1997).
2. Fundamentals of Aerodynamics, J. D. Anderson (McGraw-Hill, New York, 1991).
3. Scaling, Self-Similarity, and Intermediate Asymptotics, G. I. Barenblatt (Cambridge University
Press, Cambridge, 1996).
4. The Theory of Homogeneous Turbulence, G. K. Batchelor (Cambridge University Press, Cambridge, 1953).
5. Hydrodynamic and Hydromagnetic Stability, S. Chandrasekhar (Dover, New York, 1981).
6. Hydrodynamic Stability, P. G. Drazin, and W. H. Reid (Cambridge University Press, Cambridge,
1981).
7. Low Reynolds Number Hydrodynamics, J. Happel, and H. Brenner (Springer, 1983).
1
8. Perturbation Methods, E. J. Hinch (Cambridge University Press, Cambridge, 1991).
9. Microhydrodynamics: Principles and Selected Applications, S. Kim, and S. J. Karrila (Dover,
New York, 2005).
10. Hydrodynamics, H. Lamb (Dover, New York, 1975).
11. Laminar Flow and Convective Transport Processes, L. G. Leal (Butterworth-Heinemann, Boston,
1992).
12. Elements of Gasdynamics, H. W. Liepmann, and A. Roshko (Wiley, New York, 1957).
13. Waves in Fluids, J. Lighthill (Cambridge University Press, Cambridge, 1978).
14. The Theory of Hydrodynamic Stability, C. C. Lin (Cambridge University Press, Cambridge,
1955).
15. Instabilities, Chaos, and Turbulence, P. Manneville (Imperial College Press, 2010).
16. Theoretical Hydrodynamics, L. M. Milne-Thomson (Dover, New York, 1973).
17. Perturbation Methods, A. H. Nayfeh (Wiley, New York, 1973).
18. The Kinematics of Mixing: Stretching, Chaos, and Transport, J. M. Ottino (Cambridge University Press, Cambridge, 1989).
19. Turbulent Flows, S. B. Pope (Cambridge University Press, Cambridge, 2000).
20. Vortex Dynamics, P. G. Sa↵man (Cambridge University Press, Cambridge, 1992).
21. Boundary Layer Theory, H. Schlichting (McGraw-Hill, New York, 1979).
22. A First Course in Turbulence, H. Tennekes, and J. L. Lumley (M.I.T. Press, Cambridge, 1972).
23. Perturbation Methods in Fluid Mechanics, M. Van Dyke (The Parabolic Press, Stanford, 1975).
24. Turbulence, U. Frisch (Cambridge University Press, Cambridge, 1995).
25. A Physical Introduction to Suspension Dynamics, E. Guazzelli, and J. F. Morris (Cambridge
University Press, Cambridge, 2012).
2