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Consider blood flow on the common carotid artery. Assuming smooth walls, determi

ID: 65094 • Letter: C

Question

Consider blood flow on the common carotid artery. Assuming smooth walls, determine whether blood flow in the carotid artery is turbulent or laminar. How large must an obstruction on the wall grow to be in order for it to induce turbulent flow in the artery? Look up carotid arteries and find out what they do then describe the possible outcomes of having turbulent flow develop in one of the carotid arteries. Using scale analysis and the equation for shear stress in a Newtonian fluid (tau = mu* (du/dr) calculate the shear stress on the wall of typical small artery when the flow is fully developed. Given that real blood flow is pulsatile, we know that the boundary layer near the wall of the artery will grow in size as the fluid starts to move. Develop an expression for the shear stress at the wall of the artery as a function of time starting at the inception of motion that results from the a beat of the heart. Assume that the blood instantaneously goes from u = 0 to its average velocity as soon as the heart beats. Determine the shear stress on the wall of the artery at a time 0.5 seconds after the start of the beat.

Explanation / Answer

2. Blood flow on the common carotid artery:

a. Assuming the smooth walls, determine whether the blood flow in the carotid artery is turbulent or laminar.

b. How large must an obstruction on the wall to grow to be in order for it to induce turbulent flow in the artery?

c. At the branch point of carotid arteries, in narrowed and thickened arteries turbulent flow occurs. It results in carotid artery disease. Because of elevated turbulence elevated cardiac outputs observed.