Refer to the law of laminar flow, which states that v = -(R2 - r2). Consider a blood vessel with radius R = 0.01 cm, length / = 5 cm, pressure difference P = 2,850 dynes/cm2, and viscosity n = 0.026. (a) Find the velocity (in cm/s) of the blood along the centerline r = 0 cm, at radius r = 0.005 cm, and at the wall r= R = 0.01 cm. (Round your answers to three decimal places.) r= 0 cm/s r= 0.005 cm/s r= 0.01 cm/s (b) Find the velocity gradient (in (cm/s)/cm) along the centerline r = 0 cm, at radius r= 0.005 cm, and at the wall r =R = 0.01 cm. (Round your answers to three decimal places.) r= 0 (cm/s)/cm r = 0.005 |(cm/s)/cm r = 0.01 |(cm/s)/cm (c) Where is the velocity the greatest? Or = 0 Or = 0.005 Or = 0.01 Where is the velocity changing most? Or= 0 Or = 0.005 Or = 0.01

Refer to the law of laminar flow, which states that v = -(R2 - r2). Consider a blood vessel with radius R = 0.01 cm, length / = 5 cm, pressure difference P = 2,850 dynes/cm2, and viscosity n = 0.026. (a) Find the velocity (in cm/s) of the blood along the centerline r = 0 cm, at radius r = 0.005 cm, and at the wall r= R = 0.01 cm. (Round your answers to three decimal places.) r= 0 cm/s r= 0.005 cm/s r= 0.01 cm/s (b) Find the velocity gradient (in (cm/s)/cm) along the centerline r = 0 cm, at radius r= 0.005 cm, and at the wall r =R = 0.01 cm. (Round your answers to three decimal places.) r= 0 (cm/s)/cm r = 0.005 |(cm/s)/cm r = 0.01 |(cm/s)/cm (c) Where is the velocity the greatest? Or = 0 Or = 0.005 Or = 0.01 Where is the velocity changing most? Or= 0 Or = 0.005 Or = 0.01

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: In a hydraulic system, a student of mass m is standing on one of the movable pistons that is a…

Q: (a) Assume that the cross-sections of the ventricle and the aorta are both about 4.8 cm². The area…

A: (a) To determine the velocity across the valve, we can use the equation of continuity, which states…

Q: Suppose that the aorta has a radius of about 1.25 cm and that the typical blood velocity is around…

Q: The terminal speed of a spherical particle falling in a liquid is given by 2R²g 9n V = -(Ps P₁),…

Q: A normal blood pressure reading is less than 120/80 where both numbers are gauge pressures measured…

Q: For the problem of low Reynolds number flow past a sphere described in question 1, the stream…

Q: A Venturi tube is used to measure flow rate of 37 l/s. Tube diameter is 125 mm and throat diameter…

A: We are given flow rate of water. We convert the flow rate from L/s to m3/s. We are given diameter of…

Q: A container of cross-sectional area 122 cm2 contains liquid of density 1.75 g/cm3 to a height of…

Q: Air flows through a heating duct with a square cross-section with 9-inch sides at a speed of 6.1…

A: Using equation of continuity, the expression used to find speed of air flowing into room is…

Q: Suppose the flow rate of blood through a 1.85 × 10–6-m radius capillary is 3.95 × 10-9 cm3/s. a)…

A: Given Data : The diameter of the capillary is given as r=1.85×10-6m. The flow rate of the blood is…

Q: Rita, Frank, and Greg have a total of $118 in their wallets. Frank has $8 more than Rita. Greg has 4…

A: Consider, Rita has x dollars in the wallet, Frank has y dollars in the wallet, and Greg has z…

Q: In the human body, blood vessels can dilate, or increase their radii, in response to various…

Q: Let's make a boat out of lead. Specifically, 1 kg of lead. Assuming we shape the boat like a…

A: Given data: Mass of the boat, m = 1 kg Density, ρ = 1032 kg/m^3 Our question is to find the radius…

Q: WHAT WOULD HAVE A LARGER RADIUS F- OR N3-

A: Atomic radius is directly proportional to the number of electrons. In case when the number of…

Q: stone in air is 45 Rg and in water is 20 Kg. Compute the volume of stone. Take: accele sity of water…

Q: decrease in the blood pressure of the blood flowing through an artery the radius of which is…

A: We know that the continuity equation is given as A1v1= A2v2 where A1 and A2 are the cross-section…

Q: Air flows through a heating duct with a square cross-section with 5-inch sides at a speed of 5.7…

A: For incompressible fluid volume flow rate Q=AV A=area of cross section V=speed at which fluid flows…

Q: When physicians diagnose arterial blockages, they quote the reduction in flow rate. If the flow rate…

Q: When physicians diagnose arterial blockages, they quote the reduction in flow rate. If the flow…

Q: The volume flow rate in an artery that supplies blood to the brain is 3.5 x 10^-6 m^3 /s. If the…

A: Let the rate of blood flow through artery is denoted by R and A is the artery’s cross-sectional…

Q: A vent tube can be used as a fluid flow meter. If the pressure difference P1-P2= 21.0kpa, find the…

A: Given data: The pressure difference is P1-P2=21 kPa. The inlet tube diameter is d1=1 cm. The outlet…

Q: When physicians diagnose arterial blockages, they quote the reduction in flow rate. If the flow rate…

A: Write the expression for the flow rate. Here, Δp is the pressure difference, r is the radius, and l…

Q: The figure below shows a top view of a bar that can slide on two frictionless rails. The resistor is…

Q: Calculate the hydrostatic difference in blood pressure between the brain and the foot in a person of…

Q: A reservoir of water has the surface at 310 m above the outlet nozzle of a pipe with diameter 15 mm.…

A: Data Given , Height of the water surface ( h ) = 310 m Outlet nozzle of pipe with diameter = 15 mm…

Q: Please help me: Part (a) If the pressure is measured in compartment C at PC = 1.69 atm and…

Q: The aortic vein carries blood (ρ = 1.0 g / cm^3 ) across a transverse area of 2.0 cm^2 , with a…

A: Given: Density of blood = 1 g/cm3 Area of aortic vein, A1 = 2 cm2 Speed in aortic vein, v1 = 0.40…

Question

Refer to the law of laminar flow, which states that v =
4n/
-(R2 - r2). Consider a blood vessel with radius R = 0.01 cm, length / = 5 cm, pressure difference P = 2,850 dynes/cm2, and viscosity n = 0.026.
(a) Find the velocity (in cm/s) of the blood along the centerline r = 0 cm, at radius r = 0.005 cm, and at the wall r = R = 0.01 cm. (Round your answers to three decimal places.)
r = 0
cm/s
r = 0.005
cm/s
r = 0.01
cm/s
(b) Find the velocity gradient (in (cm/s)/cm) along the centerline r = 0 cm, at radius r = 0.005 cm, and at the wall r = R = 0.01 cm. (Round your answers to three decimal places.)
r = 0
(cm/s)/cm
r = 0.005
(cm/s)/cm
r = 0.01
(cm/s)/cm
(c) Where is the velocity the greatest?
Or = 0
Or = 0.005
Or = 0.01
Where is the velocity changing most?
Or = 0
Or = 0.005
Or = 0.01

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

The blood flow rate through the aorta is measured to be 107.3 cm^3/s, and an adult is measured to have 5.02 L of blood. How long does it take for all of your blood to pass through the aorta? If the adult's aorta has a diamter of 2.05 cm, what is the speed of blood as it flows through the aorta?
Question 1 a) Consider the forces acting on an infinitesimal fluid element located at radius r inside a star, where the star is in hydrostatic equilibrium. Show that the buoyancy force acting on the fluid element may be written as Pe dv dt = -(Pe - p)g where Pe is the density inside the fluid element, p is the density of the gas in the surrounding gas at radius r, v is the velocity of the fluid element and g is local acceleration due to gravity. For full marks you should explain each step of your derivation. b) With the aid of a diagram, explain the condition required for convection to occur by considering the small displacement of a fluid element from its original equilibrium location within a star.
A container of cross-sectional area 107 cm2 contains liquid of density 1.75 g/cm3 to a height of 6.80 cm above a small hole of area 1.00 cm2 in the side. (a) Find the speed of the fluid as it leaves the hole.(b) Find the flow rate through the hole.
If liquid enters a horizontal conduit with circular cross-sectional radius of 2 m at 8 m/a and exists the conduit a short distance later after the cross-sectional radius has increased to 2.5 m, what is the density of the fluid if the pressure is 11,000 Pa greater at the exit?
Consider the air and the bell jar. After the syringe has been pumped, the volume of air in the jar (increase,decrease or remains the same) the pressure (increase, decrease or remains the same) and the density (increase, decrease or remains the same).
Calculate the Reynolds numbers for the flow of water through a nozzle with a radius of 0.270 cm and a garden hose with a radius of 0.940 cm, when the nozzle is attached to the hose. The flow rate through hose and nozzle is 0.485 L/s. (Assume the temperature of the water is 20°C.) (a) a nozzle with a radius of 0.270 cm Can the flow possibly be laminar? Yes No (b) a garden hose with a radius of 0.940 cm Can the flow possibly be laminar? Yes No
Calculate the gauge pressure (in Pa first, then convert) due to whole blood in an IV system such as the one shown in picture below if h = 2.03 m. b) Noting that there is an open tube, so that atmospheric pressure is exerted on the whole blood in the bottle, calculate the total pressure (absolute) exerted at the needle by the blood. Report both answers in mm of Hg.(1 atm= 14.7psi = 1.013x105 Pa= 760 mmHg; Absolute)(Density of whole blood = 1060 kg/m3)