Turbulence in the bloodstream. For steady flow in a circular pipe, the transitio

Question

Turbulence in the bloodstream.

For steady flow in a circular pipe, the transition between laminar and turbulent flow occurs at a Reynolds number on the order of 103. (Remember blood is mostly water, and the viscosity of blood is 4 x 10-3 Pa.s)

a) Estimate the Reynolds number for blood flow in the aorta and determine if the flow there is laminar, turbulent, or too close to call (you may use information from problem 4).

b) Do the same for flow in capillaries (you may use information from problem 4)

PROBLEM 4)

Blood flow. When you are resting, your heart typically pumps about 5 L of blood through your body every minute.

a) Your aorta has a radius of about 0.9 cm. What is the speed of blood flow in your aorta?

b) Your lungs are designed with tremendous redundancy; they have far more capillaries than are actually used at any one time. (The remaining capillaries are collapsed and do not support blood flow.) Each of you 300 million alveoli is surrounded by an estimated 1000 tiny capillaries. Each capillary has a radius of approximately 4 x 10 -4 cm, and blood flows in a capillary at a speed of about 5 x 10-4 m/s. Estimate the fraction of capillaries in your lung that are actually being used.  

Explanation / Answer

the problem 4 is not mentioned here

where is the reference

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.