It has been suggested that the following power law: du T = -b dr can be...

 

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It has been suggested that the following power law: du T = -b dr can be used to characterize the relationship between the shear stress and the velocity gradient for blood flow. The quantity b is a constant, and the exponent n is an odd integer. Use this relationship to derive the corresponding velocity distribution for flow in a tube. Plot several velocity distributions (u/U vs. r/R) for n=1,3,5,..., to show how the profile changes with n. It has been suggested that the following power law: du T = -b dr can be used to characterize the relationship between the shear stress and the velocity gradient for blood flow. The quantity b is a constant, and the exponent n is an odd integer. Use this relationship to derive the corresponding velocity distribution for flow in a tube. Plot several velocity distributions (u/U vs. r/R) for n=1,3,5,..., to show how the profile changes with n.

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