ore than 80 ml, and that the total pressure drop across the fibers should be no more than 105 dyne/cm2 at a total flow rate of 50 ml/s. If the blood viscosity is 3.5 cP and the density of blood is 1.05 g/cm3 , how many fibers should be used, and of what diameter should they be, so as to meet the design conditions

Complete Question

The complete question is shown on the first uploaded image

The number of fibers is

Explanation:

From the question we are told that

  The  length of the fibers is

  The hold up  volume is  

  The total pressure that must not be exceeded  

  The total flow rate is  

   The blood viscosity is  

   The density of the blood is  

Generally the volume of blood a single fiber can contain at a time is mathematically represented as

Here diameter of the fiber

So

=>        

=>  

Converting to cm

=>  

Generally the pressure in the fiber is mathematically represented as

Generally the velocity of the blood flow which is mathematically represented as

=>  

Converting to cm

=>  

So

=>

Generally the number of  fibers required is mathematically represented as

=>  

=>  

=>