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Unformatted text preview: MAE 3064 LAB 3 Free and Forced Vortices Syrus Jeanes Swapnil Adhav 9/17/2007 Abstract The purpose of this experiment was to observe the behavior of forced and free vortices by determining the surface profile of a forced vortex and the change in velocity of a free vortex. The experiment was considerably flawed and therefore the results are quite inaccurate. Table of Contents 1) Introduction 1 2) Theory 2 3) Experimental Facilities and Apparatus 3 4) Experimental Procedure 4 5) Results 56 6) Statement of Uncertainty 7 7) Conclusions and Recommendations 8 8) Appendices 912 9) References 13 Introduction The purpose of this experiment was to investigate the particular aspects of the rotational flow of a vortex. The first part of the experiment demonstrates the phenomenon of a forced vortex through a constant speed of rotation for all particles about the central axis. The second part of the experiment, employing the use of Bernoullis Equation, shows free vortices having a particle velocity that has an inverse relationship with the radius from the axis of rotation. This part of the experiment employs the use of Bernoullis equation. Theory Forced Vortices A base assumption is that all particles in the fluid have the same angular velocity about the central axis. q = r = rotational speed; r = radius Using Newtonian Physics, we derived the following equation for centripetal force in the vortex: g r r q z g p 2 When we substitute q into the equation above, and simply assume constant ambient (atmospheric) pressure, we get: 2 2 2 z g r z Where z o is the lowest central point of the vortex....
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 Spring '08
 Subramanian

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