Lab5 - it 3 1.2 Md JUN firings,“ k Prob 3.1 A dye test...

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Unformatted text preview: it 3 1.2 Md JUN» ! firings,“ k / / Prob. 3.1 - A dye test is being conducted on a particular flow field. A fine line of dye is injected / into the flow for 0 S t S 20 seconds. The resulting streakline at t = 20 seconds is shown in the f figure below. The values of L in the figure indicate the length of each segment of the streakline. The magnitude of the fluid velocity (i.e., the speed) is constant, but its direction is not; That is, at each instant all of the flow is going in the same direction with the same speed. However, at certain times the flow has an instantaneous change in direction. '3.) Construct the pathfine for a particle of fluid marked by a spot of dye released at t : 2 sec (2 seconds after the start of the injection). The pathline should cover the time period 2 s S t S 20 s. ' b) Mark the time that the particle of fluid is located at significant points along the pathline. c) Construct the streamline through point D for t = 19 seconds. Procedure: 1) Based onthe streakline shown. deduce. what the flow directions were for the 20 3 during Which the streakline was being formed. (Hints: When did the dye at A, B, and C leave the injection point? What was the flow direction while the dye between A and B and between B and C was leaving the injection point?) I 2) Once you know the flow directions for the different time periods, start with a particle at the injection point at t : 2 s and deduce the path that it will follow. 3) Knowing the flow direction at t = 19 s, draw the streamline for part (b) of the question. L’} f: It 6/}; L = 3.5 units Streakline for Prob. 3.1 ...
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