1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Calculating Capillary Amount Given Aorta Blood Flow

  1. Oct 5, 2014 #1
    1. The problem statement, all variables and given/known data

    When the rate of blood flow in the aorta is 5 litres per minute, the speed in the capillaries is about 0.33 mm per second. If the average diameter of a capillary is 8 microns (0.008 mm), calculate the number of capillaries in the circulatory system.

    2. Relevant equations

    Flow rate = volume/time - 1
    Flow rate = Area x average velocity - 2
    General form of equation of continuity: n1A1v1 = n2A2v2 - n1 and n2 = number of tube branches - 3 (rearrange to make n2 the subject)

    3. The attempt at a solution


    So I'm pretty sure I know how to solve this equation (find velocity of aorta by using equation 2 (replacing area with pi x r^2) and then subbing in all know variables to equation 3 to find n2 (number of capillaries). The problem is that my question hasn't provided me with the diameter of the aorta which I need to find the v1.

    First Convert 5.0L/min into m^3 and seconds - 5.0L/min x 10^-3 m^3/L x 1min/60s = 1/12000m^3/s.
    I would then divide this by the pi x r^2 to get velocity 1 (v1).

    Now that I know all of the variables I can find n2.

    n2 = n1A1v1/A2v2
    = (1 x (pi x radius of aorta^2) x v1 found above)/(pi x (4x10^-6m)^2 x (0.33 x 10^-3 m/s) = Answer

    (sorry for the mess I have no idea how to use latex, I just discovered this forum tonight!)
    Is there another way to do this question or do I need to ask my teacher for a diameter?
     
  2. jcsd
  3. Oct 10, 2014 #2
    Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Calculating Capillary Amount Given Aorta Blood Flow
  1. Flow of blood (Replies: 2)

  2. The aorta (Replies: 24)

Loading...