A fluid moves through a tube of length 1 meter and radius r=0.008 ± 0.00025 meters...
A fluid moves through a tube of length 1 meter and radius r=0.008 ± 0.00025 meters under a pressure p=4⋅10^5 ± 1500 pascals, at a rate v=0.875⋅10^−9 m^3 per unit time. Use differentials to estimate the maximum error in the viscosity η given by η=(π/8)(pr^4/v).
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A fluid moves through a tube of length 1 meter and radius
r=0.008 ± 0.00025 meters...
A fluid moves through a tube of length 1 meter and radius r=0.004±0.0002 r=0.004±0.0002 meters under a pressure
A fluid moves through a tube of length 1 meter and radius \(r=0.004 \pm 0.0002\) meters under a pressure \(p=3+10^{5} \pm 2000\) pascals, at a rate \(v=0.125 \cdot 10^{-9} \mathrm{~m}^{3}\) per unit time. Estimate the maximum error in the viscosity \(\eta\) if$$ \eta=\frac{\pi}{8} \frac{p r^{4}}{v} $$Hint: The error in \(\eta\) is approximated by \(d \eta\), where (by the chain rule) \(d \eta=\frac{\text { iv }}{\text { dr }} d r+\frac{\partial_{p}}{\partial p} d p\).maximum error \(\approx 15616 \mathrm{pi}\)
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...
When an object moves through a fluid, the fluid exerts a viscous force F on the...
When an object moves through a fluid, the fluid exerts a viscous force F on the object that tends to slow it down. For a small sphere of radius R, moving slowly with a speed v, the magnitude of the viscous force is given by Stokes, law, F = 6πηRv, where η is the viscosity of the fluid. (a) What is the viscous force on a sphere of radius R = 8.9 x 10-4 m falling through water (η =...
You can determine the volume of fluid that can be contained by a cylindrical tube from the equation V=πr^2L, where r is...
You can determine the volume of fluid that can be contained by a
cylindrical tube from the equation V=πr^2L, where r is the radius
and L is the length. If r can be measured with a standard deviation
of 4%, and L can be measured with a standard deviation of 6%, what
is the percent error in the volume? [Report the answer as an
integer (i.e., without the % sign and no decimals).]
You can determine the volume of fluid...
4. An incompressible fluid with viscosity u and density p was contained in pipe of length...
4. An incompressible fluid with viscosity u and density p was contained in pipe of length L and radius R. Initially the fluid is in rest. At t=0, a pressure difference of AP is applied across the pipe length which induces the fluid flow in axial direction (V2) Only varies with time (t) and pipe radius (r). There is no effect of gravity. To describe the fluid flow characteristics, after the pressure gradient is applied, answer the following questions: a)...
A fluid of density 1300 kg/m3 flows out through a 3 meter diameter pipe without friction at a rat...
A fluid of density 1300 kg/m3 flows out through a 3 meter diameter pipe without friction at a rate of 1500 L/s. Find the velocity of the fluid as it flows out of the 3 meter diameter pipe. Note that the 'speed' sensor does not give enough significant figures... use the sensor, to prove your calculations (and not the opposite!) Submit Answer Tries 0/99 Calculate the velocity of the fluid if the pipe constricts to a diameter of 1 meter....
12. A fluid is flowing through a pipe with a radius of 5.1 x 10-3 m....
12. A fluid is flowing through a pipe with a radius of 5.1 x 10-3 m. The viscosity of the fluid is 1.0 x 10-3 Pa-s. A flow rate of 2.8 x 10-4 m3/s is required, and it is found that a pressure difference of 1.8 × 103 Pa is needed to drive this flow. With this information, calculate the length of the pipe. Hint: assume the flow is viscous flow (a) 1.7 m (b) 5.9 m (c) 3.2 cm...
1) 25pt)Poiseuille’s Law is a fundamental law of fluid dynamics that describes the flow velocity of...
1) 25pt)Poiseuille’s Law is a fundamental law of fluid dynamics that describes the flow velocity of a viscous incompressible fluid in a cylinder. It says that in a cylinder of radius R and length L, the velocity of the fluid r (where r ≤ R) units from the center line of the cylinder is: ? = ? 4?? (? 2 − ? 2 ), where P is the difference in the pressure between the ends of the cylinder and ν...
0.5 cm 600 ML 1. Internal radius of rubber tube, r: 2. Length of segment of...
0.5 cm 600 ML 1. Internal radius of rubber tube, r: 2. Length of segment of rubber tube filled with air, e: 3. Volume of tube filled with air, VTube 4. Volume of stoppered flask, Vlask: 5. Volume of colored water, VH20: 6. Volume of air in stoppered flask and tube after addition of colored water, Flask + VTube - VH20: 7. Atmospheric pressure: 8. Atmospheric pressure: 50ML 352.2 mL 60 mm Hg mm H2O TABLE 1: FIRST TRIAL Volume...
Ignore question [1], just need the problem description from it. [1] Water flowing in a pipe...
Ignore question [1], just need
the problem description from it.
[1] Water flowing in a pipe is determined to be moving at the velocities given in the diagram below. The higher level is 3 meters above the lower one and the pressure in the lower portion is measured to be 200 kPa. Determine the pressure inside the upper pipe Treat the water as an ideal fluid obeying Bernoulli's equation. Consider the path connecting poin in the lower pipe with point...
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...
You can determine the volume of fluid that can be contained by a
cylindrical tube from the equation V=πr^2L, where r is the radius
and L is the length. If r can be measured with a standard deviation
of 4%, and L can be measured with a standard deviation of 6%, what
is the percent error in the volume? [Report the answer as an
integer (i.e., without the % sign and no decimals).]
You can determine the volume of fluid...
4. An incompressible fluid with viscosity u and density p was contained in pipe of length L and radius R. Initially the fluid is in rest. At t=0, a pressure difference of AP is applied across the pipe length which induces the fluid flow in axial direction (V2) Only varies with time (t) and pipe radius (r). There is no effect of gravity. To describe the fluid flow characteristics, after the pressure gradient is applied, answer the following questions: a)...
A fluid of density 1300 kg/m3 flows out through a 3 meter diameter pipe without friction at a rate of 1500 L/s. Find the velocity of the fluid as it flows out of the 3 meter diameter pipe. Note that the 'speed' sensor does not give enough significant figures... use the sensor, to prove your calculations (and not the opposite!) Submit Answer Tries 0/99 Calculate the velocity of the fluid if the pipe constricts to a diameter of 1 meter....
12. A fluid is flowing through a pipe with a radius of 5.1 x 10-3 m. The viscosity of the fluid is 1.0 x 10-3 Pa-s. A flow rate of 2.8 x 10-4 m3/s is required, and it is found that a pressure difference of 1.8 × 103 Pa is needed to drive this flow. With this information, calculate the length of the pipe. Hint: assume the flow is viscous flow (a) 1.7 m (b) 5.9 m (c) 3.2 cm...
0.5 cm 600 ML 1. Internal radius of rubber tube, r: 2. Length of segment of rubber tube filled with air, e: 3. Volume of tube filled with air, VTube 4. Volume of stoppered flask, Vlask: 5. Volume of colored water, VH20: 6. Volume of air in stoppered flask and tube after addition of colored water, Flask + VTube - VH20: 7. Atmospheric pressure: 8. Atmospheric pressure: 50ML 352.2 mL 60 mm Hg mm H2O TABLE 1: FIRST TRIAL Volume...
Ignore question [1], just need
the problem description from it.
[1] Water flowing in a pipe is determined to be moving at the velocities given in the diagram below. The higher level is 3 meters above the lower one and the pressure in the lower portion is measured to be 200 kPa. Determine the pressure inside the upper pipe Treat the water as an ideal fluid obeying Bernoulli's equation. Consider the path connecting poin in the lower pipe with point...
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