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

Similar questions

Please answer this within 30 mins ! I will upvote !
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)
high blood pressure results from clogged arteries. To maintain a normal flow, the heart has to pump harder so that blood pressure increases. use Poiseuille's law to show that if R0 and P0 are normal values of the radius and pressure in an artery and the obstructed values are R y P respectively, then for the flow to remain constant, P and R are related by the equation deduce that if the radius of an artery is reduced to three-quarters of its previous value, then the pressure is more than triple
c) A rectangular flume is given with different roughnesses on the walls and bottom (see sketch) and a bottom gradientl=3 %0. Determine theManning-Strickler coefficient kst wthe walls according to Horton-Einstein for a flowQ=37.5m3/s and associated flow depth of=2m: (5 points) = ? st,w kstw = ? 'st,w k. = 30 m/3/s Horton-Einstein: st,s -2/3 "st,i Kst B = 8 m h = 2 m
A patient with asthma can experience a constriction of their airways. During a bronchospasm, their airway radius reduces from r=3mm to r=2.5 mm. What is the associated reduction in air flow rate if the change in pressure (ΔP) and length of the tube (L) are 125 Pa and 100mm respectively? Notes: apparent viscosity of air is 1.81x10^-5 Pa·s and flow rate (Q) is given by Poiseuille’s Law Q=(ΔPπr^4)/8ηL)
The pressure difference between an oil tube and a water tube is measured with a dual fluid manometer, as shown in the figure. For specific heights and gravities given of the fluids. Calculate (PB - PA)