1. The aorta is the largest artery in the body. Where the aorta leaves the heart, it has a diameter of about 3.2cm (that's a radius of 0.016m, area of 0.0008 m^2). The blood flow speed through the aorta near the heart is about 0.30 m/s.
a) Calculate the flow rate in the aorta in m^3/s
b) by the time the aorta reaches the abdomen the diameter is smaller, only about 2.4cm (that's a radius of 0.012m, area of 0.0004m^2). Find the velocity of the blood through the aorta in the abdomen.
c) in the abdomen the aorta (diameter of 2.4cm) branches into two smaller arteries, each with a diameter of only 1.2cm (area of 0.00008m^2). Do you expect the blood's velocity to increase or decrease in the smaller arteries? Why?
d) In the two smaller arteries in the abdomen from part (c), do you expect the blood flow to be laminar or turbulent? Why/ Explain or justify your reasoning.
1. The aorta is the largest artery in the body. Where the aorta leaves the heart,...
The aorta is a major artery, rising upward from the left ventricle of the heart and curving down to carry blood to the abdomen and lower half of the body. The curved artery can be approximated as a semicircular arch whose diameter is 4.0 cm. If blood flows through the aortic arch at a speed of 0.34 m/s, what is the magnitude (in m/s2) of the blood's centripetal acceleration?
The aorta is a major artery, rising upward from the left ventricle of the heart and curving down to carry blood to the abdomen and lower half of the body. The curved artery can be approximated as a semicircular arch whose diameter is 4.0 cm. If blood flows through the aortic arch at a speed of 0.33 m/s, what is the magnitude (in m/s2) of the blood's centripetal acceleration? m/s2
Problem 7. (The speed of blood) The aorta (the main blood vessel coming out of the heart) has a radius of about 1.0 cm and the total cross section of the major arteries is about 20 cm². The density of blood is 1.05 g/cm3. A. Given that the velocity of blood pumping through the aorta is about 48 cm/s, what is the total current of the blood passing through the aorta (in grams of blood per second)? B. If all...
In the human body, the aorta is the major artery that conducts blood from the heart to the rest of the body. The abdominal aorta is a relatively long straight section of the aorta that runs down from the chest to the pelvis. This section is prone to aneurisms, where a section of the aorta fails and stretches. In order to study how wall shear from blood flow in this portion of the aorta may contribute to aneurisms, a laboratory...
The human heart delivers a blood flow of about 5000ml/min. The diameter of the blood vessel leaving the heart is 1.8cm. a. Determine the Re of the flow in this vessel. b. Is the flow laminar or turbulent? Explain. c. The smallest blood vessels have a diameter of 10m and a total area about 1000 times greater than the area of the vessel leaving the heart. Determine the Re in a typical capillary. d. By what factor does the diameter...
. Suppose that the aorta has a radius of about 1.25 cm and that the typical blood velocity is around 30 cm/s and that it has an average density of 1050 kg/m3 . a. What is the average blood velocity in the major arteries if the total cross-sectional area of the major arteries is 20 cm2? b. What is the total flow rate? c. If the blood in the circulatory system goes through the capillaries, what is the total cross-sectional...
The human heart delivers a blood flow of about 5000ml/min. The diameter of the blood vessel leaving the heart is 1.8cm. Determine the Re of the flow in this vessel. Is the flow laminar or turbulent? Explain. The smallest blood vessels have a diameter of 10mm and a total area about 1000 times greater than the area of the vessel leaving the heart. Determine the Re in a typical capillary. By what factor does the diameter of a capillary have...
The human heart delivers a blood flow of about 5000ml/min. The diameter of the blood vessel leaving the heart is 1.8cm. a. Determine the Re of the flow in this vessel. b. Is the flow laminar or turbulent? Explain. The smallest blood vessels have a diameter of 10um and a total area about 1000 times greater than the area of the vessel leaving the heart. Determine the Re in a typical capillary. d. By what factor does the diameter of...
The blood pressure at your heart is approximately 100 mm of Hg. As blood is pumped from the left ventricle of your heart, it flows through the aorta, a single large blood vessel with a diameter of about 2.5 cm. The speed of blood flow in the aorta is about 60 cm/s. Any change in pressure as blood flows in the aorta is due to the change in height: the vessel is large enough that viscous drag is not a...
The heart pumps blood with an average volume flow rate of 80 cm3 /s into the aorta. The radius of the aorta is 0.75cm. a) What is the cross-sectional area of the aorta (in cm 2 )? b) What is the average speed of the blood flowing through the aorta, in cm/s? c) What is this speed in m/s?