Question #134776

Determine the pressure drop along a venue of the length L and the radius R, if the viscosity of blood is n and the speed of blood at the central layer of the v enule is Vo


1
Expert's answer
2020-09-24T11:10:05-0400

According to Poiseuille’s law:


Q=ΔpπR48ηLQ=\frac{\Delta p \pi R^4}{8\eta L}

The flow can be roughly expressed in terms of the speed of blood at the central layer:


Q=πR2v0Q=\pi R^2v_0

Therefore, the pressure drop is


Δp=8ηLv0R2\Delta p=\frac{8\eta Lv_0}{R^2}


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