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Sayan posted an Question
April 25, 2020 • 21:01 pm 30 points
  • IIT JAM
  • Physics (PH)

Finding the flow rate of liquid

3 Answer(s) Answer Now
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  • comment-profile-img>
    Paltu Sen best-answer

    Dear Sayan, please note that flow rate of a liquid at a point through a tube of cross-sectional area A is Q=Av, v is the velocity of liquid at that point (please read any book on fluid mechanics). So if compare flow rate at two ponits by comparing only radii you will get wrong answer, you should also take in account the velocities of the liquid at that points. Now velocity and area at a point in a tube is well related by continuity equation if the flow is streamlined and there is no accumulation of liquid. But here the blood is clogging (blocking with an accumulation of thick, wet matter), so here you cannot apply continuity eqn. This problem can only be solved by Poiseuille's eqn by taking blood as viscous liquid. Now I think it's clear which answer is correct.

  • comment-profile-img>
    Somnath

    You know AV is known as flow rate.For an incompressible fluid flowing through a tube AV is constant.If you decrease the radius then velocity will be increased accordingly and AV is always consrant.So in that case Q/4 cannot be the answer.

  • comment-profile-img>
    Abhishek singh best-answer

    flow rate of fluid in cylindrical pipe is proportional to the cross sectional area of cylinder (i.e. π*r^2). As radius is halved, flowrate will decrease by four times. Best regards.

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