Final Exam Time: Projects are here.
Course Content:
Two-fluid dynamics is a challenging subject rich in
physics and practical applications. Sample phenomena we cover include the
lubrication of one fluid by another, methods for measuring interfacial
tension, and cusping of fluid interfaces. The mathematical foundations and
governing equations will be developed for the motion of two viscous
liquids that do not mix. Nonuniqueness of solutions,
variational principles, and asymptotic analysis will be discussed as time
permits. Extensive illustrations, and videos will be used to motivate the
topics. Here's a
PowerPoint file for the parallel-plate
rheometer problem.
Text:
Fundamentals of Two-Fluid Dynamics volume 1,
by D. D. Joseph and Y. Renardy Springer Verlag 1993.
Prerequisites:
The student should have a basic knowledge of
vector analysis and differential equations.
Exams, Homework and Grade Policy:
Class attendance and participation 30%, homework 50%,
project 20%.
Here is a tentative schedule.
NO MAKE-UP EXAMS will be given. Any EXCUSED work will be replaced by
a grade determined from the final exam. For an excuse to be valid, it
must be given to the instructor prior to the exam. Examples of valid
excuses are: death in family, illness, birth of a child. Excuses
will not be granted for the following reasons: sleeping late,
getting drunk, exhaustion.
General:
I reserve the option of modifying these policies where appropriate as the
course develops.
Virginia Tech Honor System Information
If you are not on the class roll that comes out after the last add date, immediately check your schedule at a terminal and start attending the proper section. For no forseeable reason (computer and registrar personnel mistakes included) will you be allowed to stay in the wrong section or to drop a section for which you are actually enrolled after the last drop date. By simply attending a section you will not be placed on its roll.