Problem #0082 Mechanics Sub-menu Problem #0084 Chapters Chapters

83.

Problem 18.38 (RHK)

We have to calculate the greatest speed at which, blood at 370 C, can flow through an artery of diameter 3.8 mm if the flow is to remain laminar.

Solution:             Click For PDF Version

The critical speed at which flow of a liquid of density in a pipe of diameter D changes from laminar to turbulent is determined by the Reynolds number R and the viscosity of the liquid ,

For cylindrical pipes, the Reynolds number corresponding to critical velocity is about 2000.

Density of blood, , and its viscosity at 370 C, . Therefore,

the greatest speed at which blood can flow through an artery of diameter 3.8 mm if the flow is to remain laminar is