Viscous and Viscoelastic Fluids
MW 11:55-1:10PM Elab 327


This is an advanced graduate course in fluid dynamics. Emphasis will be placed on developing a physical understanding of the partial differential equations governing fluid flow. The course will be broken into two parts. The first half of the semester will deal with exact solutions of the Navier Stokes equations for Newtonian fluids, dimensional analysis, lubrication theory, flows at low Reynolds numbers and boundary layer theory. The second half of the semester will deal with a number of more topical issues including non-Newtonian (viscoelastic) fluid dynamics, rheology, microfluidics and surface tension driven flows.





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Alternate Texts







Professor Jonathan P. Rothstein
Gunness 16

Office hours: Fri. 12-1PM and 2:30-3:30PM

White, F. M., Viscous Fluid Flow, McGraw-Hill, New York, 1991

Morrison, F. A., Understanding Rheology, Oxford University Press, New York, 2001.

Both of these texts are recommended, but not required. There are many other graduate fluid dynamics texts which will work equally well. See below.

The course grade will be based on the following:
Homework 50%
Midterm Exams 20%
Final Exam or Project 30%

A set of homework problems will be assigned roughly once a week during lectures. You should work through these problems carefully as they are essential for your learning of the material. The problems will be typically collected and graded on Wednesdays. [homework solutions and handouts page]

Leal, L. G., Laminar Flow and Convective Transport Processes: Scaling Principles and Asymptotic Analysis, Butterworth-Heinemann, Boston, 1992.

Leal, L. G., Advanced Transport Phenomena, Cambridge University Press, 2007

Batchelor, G. K., An Introduction to Fluid Dynamics, Cambridge Univ. Press, England, 1985.

Tritton, D. J., Physical fluid dynamics, Oxford Univ. Press, New York, 1988.

Panton, R. L., Incompressible flow, Wiley, New York, 1996.

Deen, W. M., Analysis of Transport Phenomena, Oxford Univ. Press, New York, 1998.

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