a. Calculate the new flow rate in cm^3/s if the pressure difference increases by a factor...
a. Calculate the new flow rate in cm^3/s if the pressure difference increases by a factor or 2.2.
b. Calculate the new flow rate if a new fluid with 2.6 times greater viscosity is substituted in cm^3/s.
c. Calculate the new flow rate if the tube is replaced by one having 3.6 times the length.
d. Calculate the new flow rate if another tube is used with a a radius 0.18 times the original.
e. Calculate the new flow rate if yet another tube is substituted with a radius 0.18 times the orignial and half the lengthe, and the pressure difference is increased by a factor of 2.2
Homework Answers
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a. Calculate the new flow rate in cm^3/s if the pressure
difference increases by a factor...
Fluid originally flows through a tube at a rate of 130 cm3/s. To illustrate the sensitivity of fl...
Fluid originally flows through a tube at a rate of 130 cm3/s. To illustrate the sensitivity of flow rate to various factors, calculate the new flow rate (in cm3/s) for the following changes with all other factors remaining the same as in the original conditions. (a) Pressure difference increases by a factor of 1.30. cm3/s (b) A new fluid with 3.00 times greater viscosity is substituted. cm3/s (c) The tube is replaced by one having 4.00 times the length. cm3/s...
A Venturi tube may be used as a fluid flow meter. If the fluid flow rate...
A Venturi tube may be used as a fluid flow meter. If the fluid flow rate in m3/s is 1.6 * 10-3 and the radius R1 = 2.4 *10-2 m of the inlet tube is 2.9 times the radius R2 of the outlet tube, and the fluid is water (ρ = 1000 kg/m3), find the pressure difference P1 - P2 in units of kPa. Enter a number with one digit behind the decimal point.
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...
6: (a) Use the scaling laws to estimate the change of volumetric flow and pressure drop per unit length in a circular tube if the radius of the tube is reduced by a factor of 10. The pressure dro...
6: (a) Use the scaling laws to estimate the change of volumetric flow and pressure drop per unit length in a circular tube if the radius of the tube is reduced by a factor of 10. The pressure drop in a capillary tube is given by AP- 8uVavg.Lia. Here, L length of tube, a is the radius, g is the average speed of fluid and u is the viscosity). (b) Evaluate the resistance per unit length (R/L) for water flow...
543 PM Wed Nov 20 webassinet - Private SOLUTION Calculate the pressure difference Substitute into Poiseuille's low...
543 PM Wed Nov 20 webassinet - Private SOLUTION Calculate the pressure difference Substitute into Poiseuille's low P.-P2 - pgh (1,050 kg/m) (9.80 m/s> )co.500 m) - 5.15 x 10 Av. RP,-) -(20 x 10-4 m)" (5.15 x 10"Pa) 8(2.7 x 10-Ns/m?) (2.0 x 10-2 m) 6.0 x 10-8 m /s LEARN MORE REMARKS Compare this to the volume flow rate in the absence of any viscosity. Using Bernouli's equation, the calculated volume flow rate is approximately five times as...
During a marathon race, a runner's blood flow increases to 13.0 times her resting rate. Her...
During a marathon race, a runner's blood flow increases to 13.0 times her resting rate. Her blood's viscosity has dropped to 85.0% of its normal value, and the blood pressure difference across the circulatory system has increased by 50.0%. By what factor has the average radii of her blood vessels increased?
During a marathon race, a runner's blood flow increases to 13.0 times her resting rate. Her...
During a marathon race, a runner's blood flow increases to 13.0 times her resting rate. Her blood's viscosity has dropped to 90.0% of its normal value, and the blood pressure difference across the circulatory system has increased by 50.0%. By what factor has the average radii of her blood vessels increased? answer in %.
64. A glucose solution being administered with an IV has a flow rate of. What will the new flow rate be if the g...
64. A glucose solution being administered with an IV has a flow rate of. What will the new flow rate be if the glucose ist.Peshaced by whole blood having the same density but a viscosity 2.50 times that of the glucose? All other factors remain constant. 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 viscosity of blood is 2.10 × 10−3 Pa⋅s. * What is the pressure difference required...
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...
6. The rate of flow of water through a cylindrical tube that has an inner radius...
6. The rate of flow of water through a cylindrical tube that has an inner radius of 0.12 cm and a length of 26 cm is 364 cm in 88s. The pressure drop between the ends of the tube is 57 torr. Calculate the liquid's 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...
6: (a) Use the scaling laws to estimate the change of volumetric flow and pressure drop per unit length in a circular tube if the radius of the tube is reduced by a factor of 10. The pressure drop in a capillary tube is given by AP- 8uVavg.Lia. Here, L length of tube, a is the radius, g is the average speed of fluid and u is the viscosity). (b) Evaluate the resistance per unit length (R/L) for water flow...
543 PM Wed Nov 20 webassinet - Private SOLUTION Calculate the pressure difference Substitute into Poiseuille's low P.-P2 - pgh (1,050 kg/m) (9.80 m/s> )co.500 m) - 5.15 x 10 Av. RP,-) -(20 x 10-4 m)" (5.15 x 10"Pa) 8(2.7 x 10-Ns/m?) (2.0 x 10-2 m) 6.0 x 10-8 m /s LEARN MORE REMARKS Compare this to the volume flow rate in the absence of any viscosity. Using Bernouli's equation, the calculated volume flow rate is approximately five times as...
64. A glucose solution being administered with an IV has a flow rate of. What will the new flow rate be if the glucose ist.Peshaced by whole blood having the same density but a viscosity 2.50 times that of the glucose? All other factors remain constant. 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...
6. The rate of flow of water through a cylindrical tube that has an inner radius of 0.12 cm and a length of 26 cm is 364 cm in 88s. The pressure drop between the ends of the tube is 57 torr. Calculate the liquid's viscosity.
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