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Final Project April 2017 MEEN 316 Fluid Mechanics Introduction and Background The objective of this project is to associate the principal methods of fluid mechanics into realistic world applications. Throughout this project we use fluid mechanics to objectively and rationally answer the following 7 questions. Each of the questions correlates to fundamental methods of fluid mechanics using equations of motion, energy, sheer stress, static pressure, etc. C) Describe an application for a doublet + uniform flow body + vortex and without vortex. Uniform flow body with vortex are in each and every household. We see this process happen each and every day. The uniform flow body happens each time the toilet is flush. As the handle is depressed on the back of a toilet water is released from the holding tank it flows into a downward spiral direction. This causes the stream lines to flow in a radial direction causing the vortex flow in a somewhat uniform fashion. The figure below allows us to visualize the flow without using dyes or other visualization techniques. A great example of doublet uniform flow without vortex would be a water fountain. As you can see in figure 2, the flow starts from the center of the fountain. External forces act upon the fluid causing and outward decent. This causes the stream lines to move outward showing the doublet flow without vortex. C) Describe a usage of these results. Comment on the pressure variation inside the tornado During the vortex the further that you moved from center or y = 0 the weaker that the pressure became. As stated in question 2 the practical usage of this flow would be used in a toilet. The pressure is used to move waste from the toilet bowl into the drain for disposal. Question 4) The figure below depicts the Relative roughness of .00004. At what RE does F become constant? In between 10^7 and 10^8 Re f becomes constant as f approaches 0. Department Engineering of Mechanical NC A&T STATE UNIVERSITY Question 5) Old train style vs new a) Compare rectangular old style vs a high-speed train with aerodynamic modifications. On the front of the old-style train we notice a few things about it. First the nose is flat and blunt without much round curvature. This makes is increases the drag resistance on the front. b) Discuss the cost saving per year because of your modifications. Based on the data at 200 mph of both train there is a significant difference in propelling force required to move the two trains. To compare I divided the drag force by the mph to give a N per mph ratio. With the old style train, it required 417.7N per mile to propel. While the new train required only 33.4N per mph. That is means that it requires 1/12 of the power at the same speed. If the old train ran at an operational fuel cost of $1,000,000 the new style train could run at the same speed for $83,000. c)`Plot the drag forces vs speed to determine the optimum hauling speed. The plot that I created had 5 points for the high-speed train, 150, 200, 250, 350 and 400 mph. To compare the overall drag force, I again divided the drag force by the mph to determine the force cost per mph. From this it determined that at 200 mph was the optimum hauling speed for the high-speed train. Question 6) a) For your Reynolds number, determine if the flow remains steady state. During my flow simulation my flow remained at a steady state b) Upon using the flow trajectories tool in solidworks my flow stayed close to the cylinder and after navigating past rejoined the original flow path. Concluding that the flow did not separate after contact. c) Upon running flow simulation on solidworks the results for my RE number were inconclusive. Because of my velocity being very slow the readings under results read 0 due to the drag and lift force being so small. Had my velocity/Re been higher the computer could return a slight change in force.

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School: UT Austin


Final Project

April 2017
MEEN 316 Fluid Mechanics

Introduction and Background
The project's objective linked to the principal approaches in fluid mechanic applied in
the real world. During the whole project, applied fluid mechanics to rationally and
objective responds to the essential 7 seven questions. Additionally, it is important to
note that each question corresponds to basic technics of fluids mechanics while
applying the connection of static pressure, sheer stress, and energy.

C) Describe an application for a doublet + uniform flow body + vortex and without the

The consistent flow of the body containing vortex can easily found in all households.
This process is easily seen as it happens on a daily basis. Moreover, the steady stream
of the body takes place when people flush their toilets. Additionally, when the handle
is pressed towards the back of the toilet causes water ...

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