What pressure gradient in Pa is required to pump 2.80 L of blood in 45.0 s...
The viscosity of blood is 2.10 × 10−3 Pa⋅s. * What is the pressure difference required to make blood flow through an artery of inner radius 2.00 mm and length 0.200 m at an average speed of 5.28 cm/s? ___ Pa * Blood flows through an artery of inner radius 2.00 mm and length 0.200 m at an average speed of 5.28 cm/s. What is the ratio of the pressure difference required to make blood flow through this artery to...
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...
65. The pressure drop along a length of artery is 100 Pa, the radius is 10 mm, and the flow is laminar. The average speed of the blood is 15 mm/s. (a) What is the net force on the blood in this section of artery? (b) What is the power expended maintaining the flow? 66. A small artery has a length of and a radius of . If the pressure drop across the artery'is 1.3 kPa, what's the flow rate...
24.54 The pressure gradient for laminar flow through a constant radius tube is given by where p-pressure (Nm, x (m's), and r= radius (m). distance along the tube's centerline (m), μ dynamic viscosity (N·sm2), Q-flow a. Determine the pressure drop for a 10-cm length tube for a viscous liquid (u 0.005 N s/m2, density - 1x 103 kgm)with a flow of 10x 10-5 m3/s and the following varying radii along its length, x, cm 2 r, mm 2 1.35 1.34...
A small artery has a length of 1.05 times 10^-3 m and a radius of 2.7 times 10^-5 m. A If the pressure drop across the artery is 1.4 kPa, what is the flow rate through the artery in mm^3/s? (Assume that the temperature is 37 degree C, and the viscosity of blood at that temperature is 2.084 times 10^-3 N-s/m^2).
A sump pump is draining a flooded basement at the rate of 0.700 L/s, with an output pressure of 3.50 ✕ 105 N/m2. Neglect frictional losses in both parts of this problem. (a) The water enters a hose with a 3.00 cm inside diameter and rises 3.40 m above the pump. What is its pressure at this point? _______ N/m2 (b) The hose then loses 1.50 m in height from this point as it goes over the foundation wall, and...
3. (a) For the flow of a real fluid (p, u) in a rough (e measures losses lead to a pressure gradient along the pipe - Ap/L. Determine an expression for the pressure roughness) horizontal pipe energy Ap ( L pV2 gradient for a pipe of diameter - d, flowing with a mean velocity - V. pVd'd d (b) If for a 75mm diameter pipe flowing with water at 0.25m/s the measured pressure drop is 120Pa/m What will be the...
water resources
(4) A pump is required to deliver 150 L/s through a 300-mm diameter PVC pipe (smooth pipe) from a well to a reservoir. The water level in the well is 1.5 m below the ground surface and the water surface in the reservoir is 2 m above the ground surface. The delivery pipe is 300 m long, and minor losses can be neglected. A pump manufacturer suggests using a pump with a performance curve given by | HA...
A liquid_p = 1.45 g/cm^2) flows through a horizontal pipe of varying cross section as in the figure below. In the first section, the cross-sectional area is 10.0 cm^2, the flow speed is 248 cm/s, and the pressure is 1.20 times 10^5 Pa. In the second section, the cross-sectional area is 4.50 cm^2. Calculate the smaller section's flow speed. (Enter your answer to at least two decimal places.) m/s Calculate the smaller section's pressure. Pa Whole blood has a surface...
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5 A Small blood vessel near the skin has a radius of 10-5 m and length of 1 mm. The pressure drop along the blood vessel is 2.5 Pa. The viscosity of the blood is 2.5 x 10-3 Pa.s. The volume flow rate of blood through this blood vessel is A) 4.17 x 10-4m3/s B) 1.83 x 10-15m3/s C) 3.93 x 10-15m3/s D) 6.25 x 10-"m3/s