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The velocity potential function (4) is given by:
xy
- x +
x'y
y
+
3
3
Determine the velocity components in x and y
directions and show that o represents a possible
case of flow.

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You are working in a cardiac unit an are tasked to determine the percentage of blockage in a patients carotid artery. For this patient, you know the average blood velocity for a non blocked artery is 20 cm/s. Using the Dopper ultrasound, you measure the blood velocity in your patient to be 42 cm/s at the fastest position along the carotid artery. About what percent of the patient’s artery is blocked? Note: In this procedure, the patient is lying flat, meaning there is no change in height of the artery. Also, do not include the percent sign in your actual answer. If you do, your answer will be counted wrong. Hint: Suppose A2/A1=1/5 (for example) where A2 is the cross sectional area of the blockage and A1 is the area outside the blockage. This would mean that the blockage leaves only 20% (0.2) of the artery open. Or, that the artery itself is 100%-20%=80% blocked.
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