Question

   In the following two blood vessels, calculate the resistance to blood flood. The viscosity of whole blood in 3.015.

a.         Vessel A is 10 cm long with a diameter of 2 cm

b.         Vessel B is 5 cm long with a diameter of 4 cm

Answer 1

Resistance to blood flow can be calculated by using Poiseuille's equation :

where, R is resistance to blood flow; L is length of blood vessel; is viscosity; r is the radius of blood vessel and ,8 are constants.

Now; since radius (r)= diameter/2

For blood vessel A, r = diameter/2= 2 cm/2= 1 cm

For blood vessel B, r = diameter/2= 4 cm/2= 2 cm

a) Resistance for blood vessel A :-

Given- L= 10 cm; r= 1cm; = 3.015

=

b) Resistance for blood vessel B :-

Given- L= 5cm; r= 2 cm; = 3.015