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Transport Phenomena
100 10 10 100 1000 0.1 Yi Shear rate, s 4.5 Apparent viscosity of...
(b) A Newtonian liquid of viscosity 0.1 N s m2 is flowing through a pipe of...
(b) A Newtonian liquid of viscosity 0.1 N s m2 is flowing through a pipe of 25 mm diameter and 20 m in length, and the pressure drop is 105 Nm2. As a result of a process change a small quantity of polymer is added to the liquid and this causes the liquid to exhibit non-Newtonian characteristics; its rheology is described adequately by the power-law model and the flow index is 0.33. The apparent viscosity of the modified fluid is...
1. Blood has a variable viscosity at 37 °C that depends on the percent composition of...
1. Blood has a variable viscosity at 37 °C that depends on the percent composition of hematocrit and plasma. A small sample of blood is tested in a viscometer and the following results are obtained: (Shear stress (Pa), Shear rate (s^-1)) (0.0235, 2.25) (0.0396, 4.5) (0.0787, 11.25) (0.1324, 22.5) (0.2227, 45) (0.3746, 90) (0.7447, 225) (1.2524, 450) (a) Determine the viscosity of the blood sample using the power law equation for non-Newtonian fluids. (b) Indicate from the value of the...
4. An arteriole has a radius of 25 μm and it is 1000 μm long. The viscosity of blood is 3 x 10-3 Pa s and its density is...
4. An arteriole has a radius of 25 μm and it is 1000 μm long. The viscosity of blood is 3 x 10-3 Pa s and its density is 1.055 g cm-3. Assume the arteriole is a right circular cylinder. A. Assuming laminar flow, what is the resistance of this arteriole?
Water (density = 1000 kg/m3, viscosity = 1.15 x 10-3 N-s/m2) is delivered from a large reservoir ...
Water (density = 1000 kg/m3, viscosity = 1.15 x 10-3 N-s/m2) is delivered from a large reservoir upstream (Section"1") through two mortar lined steel circular pipes arranged in series to another large reservoir downstream (Section "2") as shown in Figure E4.7 The upstream pipe is 80 m long and 0.15 m in diameter, whereas the downstream pipe is 50 m long and 0.1 m in diameter. Both pipes have sharp-edged entrance and exit. Consider both major and minor losses. Determine...
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...
10A.7 Viscous heating in a ballpoint pen. You are asked to decide whether the apparent decrease...
10A.7 Viscous heating in a ballpoint pen. You are asked to decide whether the apparent decrease in viscosity in ballpoint pen inks during writing results from "shear thinning" decrease in viscosity because of non-Newtonian effects) or "temperature thinning" (decrease in viscosity because of temperature rise caused by viscous heating). If the temperature rise is less than 1 K, then "temperature thinning" will not be important. Estimate the temperature rise using Eq. 10.8-9 and the following estimated data: Clearance between ball...
40 N"s/m2 and ?-1000 kg/m3 is flowing through a circular pipe umetric flow rate (Q) of...
40 N"s/m2 and ?-1000 kg/m3 is flowing through a circular pipe umetric flow rate (Q) of the oil is 1*10 m'/s, determine: 1) (2096) Oil with viscosity of with diameter D 0 0.1 m. If the volu a. b. If the flow is laminar or turbulent Th e pressure drop over a 20 m length of p ipe in kPa
LEARN MORE REMARKS Compare this to the volume flow rate in the absence of any viscosity....
LEARN MORE REMARKS Compare this to the volume flow rate in the absence of any viscosity. Using Bernoulli's equation, the calculated volume flow rate is approximately five times as great. As expected, viscosity greatly reduces flow rate. QUESTION If the radius of a tube is doubled, by what factor will the flow rate change for a viscous liquid? PRACTICE IT Use the worked example above to help you solve this problem. A patient receives a blood transfusion through a needle...
Air with a dynamic viscosity of 18.1 x 10 N m/s, a density of 1.2 kg/m'...
Air with a dynamic viscosity of 18.1 x 10 N m/s, a density of 1.2 kg/m' and a free stream velocity of 20 m/s flows over a 0.8 m long by 0.3 m wide flat plate. 20 m/s -0.5 m - -0.8 m a. Find the type of flow on flat plate based on Reynolds number b. Find the boundary layer thickness at distance of 0.5 m from the leading edge c. Find the wall shear stress at a horizontal...
Consider a pneumatic actuator represented by 1000 G(s) = (s + 100)(s + 10)" (a) What...
Consider a pneumatic actuator represented by 1000 G(s) = (s + 100)(s + 10)" (a) What is the logarithmic gain (dB) at w = 10 rad/s? (b) What is the logarithmic gain (dB) at w = 200 rad/s? (c) What is the phase angle at w = 700 rad/s? (d) Create the Bode plot for this system.
(b) A Newtonian liquid of viscosity 0.1 N s m2 is flowing through a pipe of 25 mm diameter and 20 m in length, and the pressure drop is 105 Nm2. As a result of a process change a small quantity of polymer is added to the liquid and this causes the liquid to exhibit non-Newtonian characteristics; its rheology is described adequately by the power-law model and the flow index is 0.33. The apparent viscosity of the modified fluid is...
Water (density = 1000 kg/m3, viscosity = 1.15 x 10-3 N-s/m2) is delivered from a large reservoir upstream (Section"1") through two mortar lined steel circular pipes arranged in series to another large reservoir downstream (Section "2") as shown in Figure E4.7 The upstream pipe is 80 m long and 0.15 m in diameter, whereas the downstream pipe is 50 m long and 0.1 m in diameter. Both pipes have sharp-edged entrance and exit. Consider both major and minor losses. Determine...
10A.7 Viscous heating in a ballpoint pen. You are asked to decide whether the apparent decrease in viscosity in ballpoint pen inks during writing results from "shear thinning" decrease in viscosity because of non-Newtonian effects) or "temperature thinning" (decrease in viscosity because of temperature rise caused by viscous heating). If the temperature rise is less than 1 K, then "temperature thinning" will not be important. Estimate the temperature rise using Eq. 10.8-9 and the following estimated data: Clearance between ball...
40 N"s/m2 and ?-1000 kg/m3 is flowing through a circular pipe umetric flow rate (Q) of the oil is 1*10 m'/s, determine: 1) (2096) Oil with viscosity of with diameter D 0 0.1 m. If the volu a. b. If the flow is laminar or turbulent Th e pressure drop over a 20 m length of p ipe in kPa
LEARN MORE REMARKS Compare this to the volume flow rate in the absence of any viscosity. Using Bernoulli's equation, the calculated volume flow rate is approximately five times as great. As expected, viscosity greatly reduces flow rate. QUESTION If the radius of a tube is doubled, by what factor will the flow rate change for a viscous liquid? PRACTICE IT Use the worked example above to help you solve this problem. A patient receives a blood transfusion through a needle...
Air with a dynamic viscosity of 18.1 x 10 N m/s, a density of 1.2 kg/m' and a free stream velocity of 20 m/s flows over a 0.8 m long by 0.3 m wide flat plate. 20 m/s -0.5 m - -0.8 m a. Find the type of flow on flat plate based on Reynolds number b. Find the boundary layer thickness at distance of 0.5 m from the leading edge c. Find the wall shear stress at a horizontal...
Consider a pneumatic actuator represented by 1000 G(s) = (s + 100)(s + 10)" (a) What is the logarithmic gain (dB) at w = 10 rad/s? (b) What is the logarithmic gain (dB) at w = 200 rad/s? (c) What is the phase angle at w = 700 rad/s? (d) Create the Bode plot for this system.
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