Blood flow In Example 3.3.9 we discussed Poiseuille's lawof laminar flow:P-(R² – r²)4nlvwhere v is the blood velocity at a distance r from the centerof a blood vessel (a vein or artery) in the shape of a tube withradius R and length I, P is the pressure difference betweenthe ends of the tube, and n is the viscosity of the blood.In very cold weather, blood vessels in the hands and feetcontract. Suppose that a blood vessel with I = 1 cm,P = 1500 dynes/cm?, n = 0.027, and R = 0.01 cm contractsso that R'(t) = -0.0005 cm/min at a particular moment.Calculate dv/dt, the rate of change of the blood flow, at thecenter of the blood vessel at that time.

Given l = 1 cm P = 1500 dynes/cm2 η = 0.027 R = 0.01 cm R' (t) = -0.0005…

Answered: Blood flow In Example 3.3.9 we…

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