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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
27 Dec 2021

Given information

 

 

 Blood pressure =   above atmospheric pressure

 

Length of the needle = l

                               

                               

Radius of the needle =  

                               

 

 

                          

 

 

Step-by-step explanation

Step 1.

As it exits the needle, the fluid pressure must be 78 torr higher than air pressure in order for the blood to enter the vein. Due to the viscosity of the blood, the pressure at the needle's entrance must be more than 78 torr. The blood reservoir is elevated above the needle to create that extra pressure.

By using  Poiseuille’s equation to calculate the pressure

   

Where,

is pressure difference between the two ends

is the length of the pipe

is the dynamic viscosity

is the volumetric flow rate

is the radius of pipe

 

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