For which case will the flow rate decrease for Poiseuille flow?
a. |
The radius of the tube increases |
|
b. |
The viscosity decreases |
|
c. |
The tube length decreases |
|
d. |
The pressure difference decreases |
For which case will the flow rate decrease for Poiseuille flow? a. The radius of the...
For which case will the viscosity increase, keeping all other factors constant? a. The force applied to the surface of the fluid increases b. The height of the fluid column decreases c. The velocity of the fluid increases d. The cross-sectional area increases If the flow rate and time are known, what else about the fluid can be found? a. Pressure b. Cross-section area c. Volume d. Velocity For which case will the flow rate decrease for Poiseuille flow? a....
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...
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...
8) Uncertainty Analysis Hagen-Poiseuille equation (shown below) is used to experimentally determine the velocity of a fluid using a capillary viscometer. This experiment consists of measuring the flow rate of a fluid of unknown viscosity through a tube and recording pressure drop and volumetric flow rate 8OL Where: ??s viscosity L is pressure drop Pal R is tube radius m [om cm Q is volumetric flow rate is tube length 1cm For this experiment, you record pressure drop from a...
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...
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.
Describe the effect on the flow rate given each of the following changes. Each change is to the original system and all other variables are held constant: The radius decreases The pipe length decreases The fluid viscosity decreases The pressure difference decreases
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...
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...
12) As shown in fig. an open-tube manometer containing water (p.-10 kg/m') and mercury (p-1.36x 10 kg/m). The height of water in the left column above the interface A is h' - 30 cm, while the height of mercury in the right column above B is h - 20 cm. The right column is open to the atmosphere Patm - 1.01 10 Pa. The pressure P in the container is: a) P-1.25x10 Pa a) P=0.56*10Pa b) P-4.29x109 Pa d) P-2.46x10*...