MEAM 642
FLUID MECHANICS I
Spring 2008
Lecture: Towne 305, T.R. 4:30 PM. – 6 PM.
• Instructor:
Howard Hu, Towne 241
Phone: 898-8504, E-mail: hhu@seas.upenn.edu
Office hours: T.R.: 3-4 pm / by appointment
• Prerequisites: ENM 510.
• Description:
This course introduces physical phenomena associated with fluid flow and heat transfer, and
mathematical techniques to analyze these phenomena. The course covers the topics of
Cartesian tensors, kinematics, conservation laws, vorticity dynamics, irrotational flow,
laminar flow, laminar boundary layers, multicomponent energy and mass transfer, flow
instability, turbulence.
• Grade:
homework assignments (30%)
midterm exam (30%)
final exam (40%)
• Text:
I.M. Cohen, P. K. Kundu, Fluid Mechanics, Academic Press, 2007 (4th Ed.)
• Reference (Reserved at the Town Engineering Library Circulation Desk)
R. Aris, Vectors, Tensors, and the Basic Equations of Fluid Mechanics, Prentice-Hall,
1962.
W.M. Deen, Analysis of Transport Phenomena, Oxford Univ. Press, 1998
R.L. Panton, Incompressible Flow, John Wiley & Sons, 1984
G.K. Batchelor, An Introduction to Fluid Dynamics.
H. Schlichting, Boundary Layer Theory, McGraw-Hill, 1968
S.W. Churchill, Viscous Flows, the Practical Use of Theory, Butterworth Pub., 1988
NCFMF, Illustrated Experiments in Fluid Mechanics, MIT Press, 1988
Milton D. Van Dyke, An Album of Fluid Motion, the Parabolic Press, 1988.
JSME, Visualized Flow: Fluid Motion in Basic and Engineering Situations Revealed by
Flow Visualization, Pergamon, 1988
D.V. Boger, K. Walters, Rheological Phenomena in Focus, Elsevier, 1993
MEAM 642
FLUID MECHANICS I
• Course Outline:
Introduction & Review (1w)
Vector and Cartesian tensors
Kinematics
Transport properties
Conservation laws
Boundary conditions
Vorticity Dynamics (1w)
Vortex lines and vortex tubes
Kelvin's circulation theorem
Vorticity equation
Interaction of vortices
Irrotational Flow (1 w)
Velocity potential & potential flow
Complex variables
Flow around a cylinder with circulation
Method of images
Conformal mapping
Joukowski transformation
Laminar Flow (1.5w)
Flow due to oscillating pressure gradient
Impulsively started plate, similarity solutions
Lubrication theory
Stokes flow around a sphere
Laminar Boundary Layers (2w)
Perturbation techniques, regular and singular perturbation methods
Introduction
Karman Momentum integral
Pressure gradient and separation
Flow past a circular cylinder & sphere
Flow and heat transfer over a wedge
Computational Fluid Dynamics (2w)
Multicomponent Energy and Mass Transfer (3w)
Multicomponent systems
Simultaneous heat and mass transfer
Stefan-Maxwell Equations
Transport in electrolyte solutions
Turbulence (2 w)
Instability
Averaged equations of motion
Kinetic energy of turbulent flow
Wall-free shear flow
Wall-bound shear flow
Eddy viscosity and mixing length
Coherent structure
Spring 2008