521 ADV FLUID MECH II

ME520, Fall 2003

STUDENT INTEREST SURVEY

Name ____________________________ Student ID _________________________

Email ____________________________ Advisor or Area _____________________

Masters or PhD? ____________________ Audit? ____________________________

When and where did you take ME320 (or equivalent)?

What are your Prelim plans, if any?

Rank your interest level for the following topics (5-hi, 1-lo):

Constitutive Theory Vorticity Thms CFD

Potential Flow Low Re Flow Convection

Surface Waves Stability Turbomachinery

Turbulence Compressible Flow Other

Please email schultz@engin a paragraph or two about your experiences with fluids at school (including your undergraduate institution) and work. Indicate your research interests and any personal information you care to share. Put ME520 in subject line, as with all further correspondence!

Consider writing a rudimentary web page for yourself. Digital Camera is available.

Benchmark test (one-hour, no notes, no collaboration, not graded, 3 and 4 will eventually be covered in class):

1. Make the most simplified analysis indicating the time for the water to run out of an open tank with a hole at the bottom with initial depth h below a free surface. D and d are the diameters of the tank and nozzle, respectively.

2. Give a (25 words or less) description of the Kutta condition.

3. For the following, assume 3D vectors, n_i and t_i are unit vectors normal and tangential to a surface, and use Einstein notation:

a. d_ii

b. d_ij e_ijk

c. n_i n_i

d. n_i t_i

4. Simplify the PDEs, Set up the ODE (solve it if you have time!) for the long-time velocity profile of the unsteady simple Newtonian shear flow caused by two planes a distance d apart. The top plane is stationary and the bottom plate oscillates in the horizontal direction with velocity u = U coswt.