Calculating h for Blood Transfusion Needle

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To calculate the height (h) for the blood transfusion needle, Poiseuille's equation is essential, where the change in pressure is given by the formula ΔP = 8ηLQ/πr^4. The problem specifies parameters such as the needle's length, diameter, blood pressure, and flow rate. Using these values, one can determine the necessary height of the blood bottle to achieve the required flow. Participants are encouraged to show their calculations for further assistance. Understanding and applying Poiseuille's law is crucial for solving this problem effectively.
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Homework Statement



A patient is to be given a blood transfusion. If the inside diameter of the 4.0 cm long
needle is 0.40 mm, the blood pressure in the arm is 2400 Pa, and the required flow is 4.0
cm³/min, how high h should the bottle be placed? (ρ = 1050 kg/m³, η =0.0040 Pa·s)



Homework Equations



I don't know how to do this question

please help me through " Poisieulles' equation " only

Best Wishes for you
 
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Hi Dr.Wasim! :wink:

Poiseuille's equation is change in pressure = 8ηLQ/πr4 …
see http://en.wikipedia.org/wiki/Poiseuille%27s_law" for details.

Show us what you get. :smile:​
 
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