Calculating blood pressure increase with Poiseuille's equation

AI Thread Summary
The discussion revolves around calculating the pressure drop in carotid arteries using Poiseuille's equation, focusing on a patient with a stenosis in one artery. The patient has two carotid arteries, with specific lengths and diameters provided, and the problem requires determining the pressure drop ratio between the affected left artery and the unaffected right artery. The user attempted to solve the problem by substituting values into the equation but arrived at an incorrect ratio of 1.5. They seek assistance in setting up the calculations correctly to find the accurate pressure drop ratio. The conversation highlights the application of fluid dynamics principles in a medical context.
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Homework Statement


Hello! I don't usually ask for help on homework, but I am really stuck and my physics teacher has no clue what she is doing. She doesn't really understand the material. Here is the question: There are two carotid arteries that feed blood to the brain, one on each side of the neck and head. One patient's carotid arteries are each 11.2 cm long and have an inside diameter of 5.1mm . Near the middle of the left artery, however, is a 2.0-cm-long stenosis, a section of the artery with a smaller diameter of 3.2mm. For the same blood flow rate, what is the ratio of the pressure drop along the patient's left carotid artery to the drop along his right artery?


Homework Equations


Poiseuille's equation: Q=pi(r^4)Δp/(8ηL)

Given Value of blood flow rate, Q=8.3x10^-5 m^3/s (by same they mean the one stated earlier in the text)

The Attempt at a Solution


I tried to simply plug and chug the values but did not get the answer right. I got about 1.5 for the ratio. I know this because the homework must be submitted online. Any help would really be appreciated!
 
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Can you show what you've tried? How did you set up the calculations?
 
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