For your MQP project you are asked to study fluid (wind) flow over the tall cylinder shaped smokestack near Boynton Hall on the WPI campus. Cylinders (or smokestacks) in a fluid flow shed rotating fluid (vortices) at some shedding frequency f (in rad/sec) which is the dependent variable in this problem. Other important physical parameters include the fluid density p, the cylinder diameter d, and the oncoming wind speed V. Use p, V and d as repeating variables. There is one important physical parameter missing from my physical description. Name it. Hint: This is an external, viscous, incompressible flow. Also, ignore the smokestack height H and the taper (change in diameter) of the smokestack as important parameters for this test. Use your complete list of physical parameters to complete a dimensional analysis to find two II groups (non-dimensional parameters) that govern this problem. Since performing measurements on the WPI smokestack is difficult (and rather dangerous), you decide to perform experiments on a smaller cylinder in the WPI wind tunnel. The WPI smokestack has an average diameter of 8 feet, and the wind speed over the WPI smokestack is 10 mph. A 2 inch diameter cylinder is used to properly model the smokestack flow in the tunnel. What is the required wind tunnel air velocity с.

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Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.