Let v(r) be the velocity of blood in an arterial capillary of radius R = 4 × 10⁻⁵ m. Use Poiseuille’s Law (Example 6) with k = 106 (m-s)⁻¹ to determine the velocity at the center of the capillary and the flow rate (use correct units).

Transcribed Image Text:

EXAMPLE 6 Laminar Flow According to Poiseuille's Law, the velocity of blood flowing in a blood vessel of radius R centimeters is v(r) =k(R22), where r is the distance from the center of the vessel (in centimeters) and k is a constant. Calculate the flow Q as function of R, assuming that k = 0.5 (cm-s)-¹.