EXAMPLE 9.19 Turbulent Flow of Blood Goal Use the Reynolds number to determine a

Question

EXAMPLE 9.19 Turbulent Flow of Blood Goal Use the Reynolds number to determine a speed associated with the onset of turbulence.

Problem Determine the speed at which blood flowing through an artery of diameter 0.20 cm will become turbulent.

Strategy The solution requires only the substitution of values into the equation for the Reynolds number and then solving it for the speed v.



Use the worked example above to help you solve this problem. Determine the speed at which blood flowing through an artery of diameter 0.18 cm will become turbulent.
m/s CORRECT ANSWER

Determine the speed v at which water at 20 EXAMPLE 9.19 Turbulent Flow of Blood Goal Use the Reynolds number to determine a speed associated with the onset of turbulence.

Problem Determine the speed at which blood flowing through an artery of diameter 0.20 cm will become turbulent.

Strategy The solution requires only the substitution of values into the equation for the Reynolds number and then solving it for the speed v.



Use the worked example above to help you solve this problem. Determine the speed at which blood flowing through an artery of diameter 0.18 cm will become turbulent.
m/s CORRECT ANSWER

Determine the speed v at which water at 20 EXAMPLE 9.19 Turbulent Flow of Blood Goal Use the Reynolds number to determine a speed associated with the onset of turbulence.

Problem Determine the speed at which blood flowing through an artery of diameter 0.20 cm will become turbulent.

Strategy The solution requires only the substitution of values into the equation for the Reynolds number and then solving it for the speed v.



Use the worked example above to help you solve this problem. Determine the speed at which blood flowing through an artery of diameter 0.18 cm will become turbulent.
m/s CORRECT ANSWER

Determine the speed v at which water at 20 Use the worked example above to help you solve this problem. Determine the speed at which blood flowing through an artery of diameter 0.18 cm will become turbulent.
m/s CORRECT ANSWER

Determine the speed v at which water at 20 Determine the speed v at which water at 20

Explanation / Answer

in this case the vertical component of the speed will determine for turbulent flow so v*cos(20)=(2.7*10^(-3))*3*10^3/(1.05*10^3*0.0058) so v=1.4155 m/s

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