# 3-11 - 3-11 The flow of blood in the veins and arteries is...

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3-11. The flow of blood in the veins and arteries is a transient process in which the elastic conduits expand and contract. As a simplified example, consider the artery shown in Figure 3-11. At some instant in time, the inner radius has a radial velocity of 0.012 cm/s. The length of the artery is 13 cm and the volumetric flow rate at the entrance of the artery is 0.3 cm 3 /s. If the inner radius of the artery is 0.15 cm, at the particular instant of time, what is the volumetric flow rate at the exit of the artery? Figure 3.11 . Expanding artery 3-11. In this problem we consider the expanding artery having an inner radius of 0.15 cm, a length of 13 cm, and a uniform radial velocity of 0.012 cm/s. We begin our analysis with the control volume illustrated in Figure 3.11a along with the appropriate macroscopic mass balance given by () 0 tt d dV dA dt ρ+ ρ = vwn 9\$ (1) At the wall of the tube we have the condition ( ) 0 , at the tube wall −⋅ = (2)

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## This note was uploaded on 07/15/2010 for the course ECM 051 taught by Professor B.g.higgins during the Winter '10 term at UC Davis.

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3-11 - 3-11 The flow of blood in the veins and arteries is...

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