A cardiologist reports that the radius of a 100mm long segment of a patients radial artery (3mm in diameter) has narrowed by 10% along its entire length since it waan measured . Do we use Bernoulli's orpoiseuilles eqaution to determine the relationship between pressure and flow rate through those artery?

Respuesta :

Answer:

For the scenario described, you would use Poiseuille's equation rather than Bernoulli's equation. Poiseuille's law relates the flow rate of a fluid through a tube to factors like the tube's radius and length, as well as the viscosity of the fluid.

Bernoulli's equation, on the other hand, is typically applied to situations involving fluid flow and pressure changes in a streamline, but it might not be directly applicable to the detailed analysis of flow through a narrowed artery.

In summary, for understanding the relationship between pressure and flow rate in a narrowed artery, you'd turn to Poiseuille's equation.

Answer:

In this case, we should use Poiseuille's equation rather than Bernoulli's equation.

Explanation:

Narrow artery = less space for blood, right? So blood slows down like traffic in a tunnel. To keep the flow steady, pressure needs to push harder, just like honking in the tunnel (but more politely!).

That's why we use Poiseuille's equation, it relates pressure (push), flow (traffic), and the narrowed space (smaller tunnel) in an artery.

Remember: Narrower artery = slower flow but higher pressure to keep things moving.