Consider a 4-mm diameter blood vessel and two 2-mm diameter blood vessels. Assuming pressure, viscosity, and...
Consider a 4-mm diameter blood vessel and two 2-mm diameter blood vessels. Assuming pressure, viscosity, and vessel length are constant, would the two 2-mm vessels have more, less, or the same amount of fluid flow as the 4-mm diameter blood vessel? Explain using the proper equation, showing your work and using proper units.
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Consider a 4-mm diameter blood vessel and two 2-mm diameter
blood vessels. Assuming pressure, viscosity, and...
The blood pressure at your heart is approximately 100 mm of Hg. As blood is pumped...
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...
Determine the ratio between the cross-sectional areas of two blood vessels, assuming that the voltage ratio...
Determine the ratio between the cross-sectional areas of two blood vessels, assuming that the voltage ratio induced in identical magnetic flow probes is equal to 2:4 and the ratio of blood flows velocity through these vessels is 3:7. (Hint: the blood flow velocity V = (B) ∗ (L) ∗ (u), V is the voltage measured by the electrodes l is the diameter of the blood vessel B is the magnitude of the magnetic field. The electrodes, magnetic field and the...
A.) The blood low out of the heart is about 83 mL/sec. Assuming that the blood...
A.) The blood low out of the heart is about 83 mL/sec. Assuming that the blood flows equally through all capillaries, estimate the blood flow through each capillary. B.) The blood pressure difference across a capillary is 20 mmHg. Assuming that a capillary is about 7um in diameter on average, and that the viscosity of blood is 0.04 poise, calculate the theoretical length of a capillary. C.) The length of a capillary can be measure directly with a microscope and...
Blood flow is 83 mL/sec through each capillary. B.) The blood pressure difference across a capillary...
Blood flow is 83 mL/sec through each capillary. B.) The blood pressure difference across a capillary is 20 mmHg. Assuming that a capillary is about 7um in diameter on average, and that the viscosity of blood is 0.04 poise, calculate the theoretical length of a capillary. C.) The length of a capillary can be measure directly with a microscope and it usually ranges from 0.3 to 1.0 mm. Let us assume that the average length of a capillary is 0.65...
FLUIDS QUESTION ?Blood from a supine patient flowing through the internal carotid artery is measured to...
FLUIDS QUESTION
?Blood from a supine patient
flowing through the internal carotid artery is measured to be
42.6 cm/s. The base of the artery measures 4.85 mm and the blood
pressure at this point is
92.56 mmHg. There is an aneurysm in the vessel with a diameter
measuring 16.1 mm. The
density of the patient’s whole blood was determined to be 1.04 x
10
3
kg/m
3
. Assuming
steady-state, inviscid flow (in large diameter vessels) and no
hydrostatic effects,...
In hemodynamics, blood flow through the cardiovascular system can be modeled as an electric circuit in...
In hemodynamics, blood flow through the cardiovascular system
can be modeled as an electric circuit in which the blood serves as
electricity, the blood vessels as resistive wires, and the heart as
a battery (see Figure 1).
Figure 1 Cardiovascular circuit model
Ohm’s law states that the voltage drop ΔV across each element,
the current I flowing through it, and its electrical
resistance R are related by ΔV = IR. In a blood vessel, pressure
difference between one vessel and...
Poiseuille Flow: Consider a pressure-driven (gradient DeltaP/L = (P_in -P_out)/L) flow of a fluid of viscosity...
Poiseuille Flow: Consider a pressure-driven (gradient DeltaP/L = (P_in -P_out)/L) flow of a fluid of viscosity mu in a tube of circular cross-section with radius R and length L. Starting from the NSE, show for fully-developed, steady flow, that the volumetric flow rate is:[10] Show that the magnitude of the shear stress T_rz at the wall is: Using your answer from parts (a) and (b), obtain an expression for the friction factor f in terms of the Reynolds number Re...
Consider a blood vessel with a pressure waveform traveling at wave speed Co,b (baseline). If under...
Consider a blood vessel with a pressure waveform traveling at
wave speed Co,b (baseline). If under disease conditions
the thickness of the vessel wall is increased by 50% and the
cross-sectional area is halved, by what factor does the wave speed
change?
Given Equation:
where E= Young's Modulus, h=wall thickness, =density,
d=vessel diameter
Cod 2
4. BONUS PROBLEM TO CHANGE ECTION OF THE COURSE, At a central Texas unhversty's rew investigating...
4. BONUS PROBLEM TO CHANGE ECTION OF THE COURSE, At a central Texas unhversty's rew investigating therapies for modeling blood flow In brand flow for a varkety of micre-vascular condrions. Your team h dameters and lengths of the blood vessels are displayed in the table folowing ONE MINIMUM QUIZ GRADE (0% or 30%) TO 100% FOR THE FIRST mmedical school, reseat dhers are N (# of vessels) inner Diameter (um) |Generation Length (μm) 1800 16 1200 2200 Biood is a...
2.) A capillary rheometer is used to measure viscosity. A pressure transducer records the pressure drop...
2.) A capillary rheometer is used to measure viscosity. A
pressure transducer records the pressure drop delta P across the
die, and the die capillary has a diameter of 2 mm. Experiments are
carried out at three volume flow rates Q, for dies of each of three
lengths l. The following is a table of values of delta P
(in MPa) measured for polupropylene at 190 C. For each flow rate Q
find the apparent viscosity, assuming Newtonian behaviour.
Table...
FLUIDS QUESTION
?Blood from a supine patient
flowing through the internal carotid artery is measured to be
42.6 cm/s. The base of the artery measures 4.85 mm and the blood
pressure at this point is
92.56 mmHg. There is an aneurysm in the vessel with a diameter
measuring 16.1 mm. The
density of the patient’s whole blood was determined to be 1.04 x
10
3
kg/m
3
. Assuming
steady-state, inviscid flow (in large diameter vessels) and no
hydrostatic effects,...
In hemodynamics, blood flow through the cardiovascular system
can be modeled as an electric circuit in which the blood serves as
electricity, the blood vessels as resistive wires, and the heart as
a battery (see Figure 1).
Figure 1 Cardiovascular circuit model
Ohm’s law states that the voltage drop ΔV across each element,
the current I flowing through it, and its electrical
resistance R are related by ΔV = IR. In a blood vessel, pressure
difference between one vessel and...
Poiseuille Flow: Consider a pressure-driven (gradient DeltaP/L = (P_in -P_out)/L) flow of a fluid of viscosity mu in a tube of circular cross-section with radius R and length L. Starting from the NSE, show for fully-developed, steady flow, that the volumetric flow rate is:[10] Show that the magnitude of the shear stress T_rz at the wall is: Using your answer from parts (a) and (b), obtain an expression for the friction factor f in terms of the Reynolds number Re...
Consider a blood vessel with a pressure waveform traveling at
wave speed Co,b (baseline). If under disease conditions
the thickness of the vessel wall is increased by 50% and the
cross-sectional area is halved, by what factor does the wave speed
change?
Given Equation:
where E= Young's Modulus, h=wall thickness, =density,
d=vessel diameter
Cod 2
4. BONUS PROBLEM TO CHANGE ECTION OF THE COURSE, At a central Texas unhversty's rew investigating therapies for modeling blood flow In brand flow for a varkety of micre-vascular condrions. Your team h dameters and lengths of the blood vessels are displayed in the table folowing ONE MINIMUM QUIZ GRADE (0% or 30%) TO 100% FOR THE FIRST mmedical school, reseat dhers are N (# of vessels) inner Diameter (um) |Generation Length (μm) 1800 16 1200 2200 Biood is a...
2.) A capillary rheometer is used to measure viscosity. A
pressure transducer records the pressure drop delta P across the
die, and the die capillary has a diameter of 2 mm. Experiments are
carried out at three volume flow rates Q, for dies of each of three
lengths l. The following is a table of values of delta P
(in MPa) measured for polupropylene at 190 C. For each flow rate Q
find the apparent viscosity, assuming Newtonian behaviour.
Table...
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