In a solid, shear stress is related to shear strain. In a fluid, shear stress is...
In a solid, shear stress is related to shear strain. In a fluid, shear stress is related to:
The magnitude of the shear strain
The slope of the shear strain
The time rate of change of the shear strain
The viscosity
The Reynolds' number
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Question 21 pts
Picture the flow of a fluid which has a non-zero viscosity in a pipe. Where is the velocity of this flow the greatest?
At the wall fo the pipe
Half way in to the center
At the center of the pipe
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Question 31 pts
A "Newtonian" fluid has what property?
Its density is independent of temperature
Its viscosity is independent of altitude
Its density is independent of pressure
Its viscosity is independent of flow velocity
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Question 41 pts
The viscosity of water changes with temperature. If you stir a pot of water for a few seconds then stop stirring, it will gradually slow down and stop.
Which will continue to flow for longer, a pot of water about to boil (at ~100° C) or one at room temperature (~ 20° C)? Explain your answer.
a pot of water about to boil (at ~100° C)
a pot of water at room temperature (~ 20° C)
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Question 51 pts
Imagine the flow of water through a pipe which has a radius of 10 cm. If the flow velocity in the pipe is 0.1 m/s at a distance 2 cm from the wall, what is the approximate flow velocity at the center of the pipe?
0.01 m/s
0.05 m/s
0.1 m/s
0.5 m/s
1.2 m/s
Homework Answers
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In a solid, shear stress is related to shear strain. In a fluid,
shear stress is...
Question 1: Derive an expression for the shear stress at the pipe wall when an incompressible...
Question 1: Derive an expression for the shear stress at the pipe wall when an incompressible fluid flows through a pipe under pressure. Use dimensional analysis with the following significant parameters: pipe diameter D, flow velocity V, fluid viscosity u and density, p of the fluid.
Please Show work Assume that the wall shear stress, Tw, created when a fluid flows through...
Please Show work
Assume that the wall shear stress, Tw, created when a fluid flows through a pipe (see Figure a) depends on the pipe diameter, D, the flowrate, Q, the fluid density, p, and the kinematic viscosity, U. Some model tests run in a laboratory using water in a 0.2-ft-diameter pipe yield the vs. Q data shown in Figure b. Perform a dimensional analysis and use model data to predict the wall shear stress in a 0.5-ft-diameter pipe through...
дvх . (7) A Bingham plastic fluid has the following stress-strain rate relationship t = 600...
дvх . (7) A Bingham plastic fluid has the following stress-strain rate relationship t = 600 + 0.1 For a Couette flow (slide 39) what would be the velocity profile if the shear ду stress applied at the top layer is 200 units? What would be the velocity profile if the applied shear stress at the top layer is 1000 units? Assume the height of the fluid is H. Simple Shear Flow F T=- A where t is shear stress...
2) (35 points) It is a common practice when examining a fluid's viscous behavior to plot the shear strain rate (velocity gradient) dv dy on the abscissa versus shear stress (t) on the ordinate. W...
2) (35 points) It is a common practice when examining a fluid's viscous behavior to plot the shear strain rate (velocity gradient) dv dy on the abscissa versus shear stress (t) on the ordinate. When a fluid has a straight-line behavior between these two variables it is called a Newtonian fluid, and the resulting relationship is where u is the fluid viscosity. Many common fluids follow this behavior such as water, milk, and oil. Fluids that do not behave in...
True or False ____ A Newtonian fluid is one where the shear stress is non-linearly related...
True or False ____ A Newtonian fluid is one where the shear stress is non-linearly related to the shear strain rate. ____ Ceramics are ductile at room temperature. ____ Cup and cone failures in a tensile test are associated with ductility. ____ Transgranular cracks in metals occur along grain boundaries. ____ The fracture toughness Kc is independent of specimen thickness. ____ Fatigue results in material failure due to dynamic loading at stresses below the yield strength. ____ Thermoset polymers are...
1. Some non-Newtonian fluids behave as a Bingham plastic for which shear stress can be expressed...
1. Some non-Newtonian fluids behave as a Bingham plastic for which shear stress can be expressed as + For laminar flow of a Bingham plastic in a horizontal pipe of radius R, the velocity profile is given as 4wr -R)+ (r-R), where AP/L is the constant pressure drop along the pipe per unit length, is the dynamic viscosity,r is the radial distance from the centerline, and is the yield stress of Bingham plastic. Develop a relation for (a) the shear...
Fluid Mechanics.
I have solved the question but I found another answer. My final answer is: (Wall shear stress )= cf *(p fluid density) * u^2is it correct?(b) Resistance of an object towards the incoming flow can be quantified through localfriction coefficient, cf. The coefficient is indeed a function of wall shear stress (τw),fluid density (ρ) and incoming flow velocity (u). Using Buckingham Pi Theorem,determine the equation for the wall shear stress as a function of local friction coefficient,fluid density, and incoming flow...
fundamental of fluid mechanics H.W: To design a circular pipe, determine the wall shear stress. Assume...
fundamental of fluid mechanics
H.W: To design a circular pipe, determine the wall shear stress. Assume the fluid is water at 60 F. Also find the force on a 100 length of pipe. -4P 22 2 -10
3. Water flowing through a pipe assumes a laminar-flow velocity profile at some section is parabolic:...
3. Water flowing through a pipe assumes a laminar-flow velocity profile at some section is parabolic: u(0) -4J Figure 2 where u(r) is the velocity at any position r, ß is a constant,-11s the viscosity of water, and r is the radial distance from the pipe centerline. (a) Develop an equation for u(r) assuming a parabolic velocity profile and using the known velocities at the walls u(ro)-0 and the center u(0) (Just use symbols). (b) Develop an equation for shear...
Fluid Mechanics Chapter 7 Intro QUESTION 1 If the number of parameters in a problem is...
Fluid Mechanics Chapter 7 Intro
QUESTION 1 If the number of parameters in a problem is m and the number of primary dimensions is 3, then the number of resultant Pl terms is QUESTION 2 If an object travels with a velocity V, a distance, s, in time t. The Pl term formed by using the three variables is QUESTION 3 Friction in the pipe: The shear stress on the pipe-walls (Tw) is a function of flow velocity, V, fluid...
Question 1: Derive an expression for the shear stress at the pipe wall when an incompressible fluid flows through a pipe under pressure. Use dimensional analysis with the following significant parameters: pipe diameter D, flow velocity V, fluid viscosity u and density, p of the fluid.
Please Show work
Assume that the wall shear stress, Tw, created when a fluid flows through a pipe (see Figure a) depends on the pipe diameter, D, the flowrate, Q, the fluid density, p, and the kinematic viscosity, U. Some model tests run in a laboratory using water in a 0.2-ft-diameter pipe yield the vs. Q data shown in Figure b. Perform a dimensional analysis and use model data to predict the wall shear stress in a 0.5-ft-diameter pipe through...
дvх . (7) A Bingham plastic fluid has the following stress-strain rate relationship t = 600 + 0.1 For a Couette flow (slide 39) what would be the velocity profile if the shear ду stress applied at the top layer is 200 units? What would be the velocity profile if the applied shear stress at the top layer is 1000 units? Assume the height of the fluid is H. Simple Shear Flow F T=- A where t is shear stress...
2) (35 points) It is a common practice when examining a fluid's viscous behavior to plot the shear strain rate (velocity gradient) dv dy on the abscissa versus shear stress (t) on the ordinate. When a fluid has a straight-line behavior between these two variables it is called a Newtonian fluid, and the resulting relationship is where u is the fluid viscosity. Many common fluids follow this behavior such as water, milk, and oil. Fluids that do not behave in...
1. Some non-Newtonian fluids behave as a Bingham plastic for which shear stress can be expressed as + For laminar flow of a Bingham plastic in a horizontal pipe of radius R, the velocity profile is given as 4wr -R)+ (r-R), where AP/L is the constant pressure drop along the pipe per unit length, is the dynamic viscosity,r is the radial distance from the centerline, and is the yield stress of Bingham plastic. Develop a relation for (a) the shear...
fundamental of fluid mechanics
H.W: To design a circular pipe, determine the wall shear stress. Assume the fluid is water at 60 F. Also find the force on a 100 length of pipe. -4P 22 2 -10
3. Water flowing through a pipe assumes a laminar-flow velocity profile at some section is parabolic: u(0) -4J Figure 2 where u(r) is the velocity at any position r, ß is a constant,-11s the viscosity of water, and r is the radial distance from the pipe centerline. (a) Develop an equation for u(r) assuming a parabolic velocity profile and using the known velocities at the walls u(ro)-0 and the center u(0) (Just use symbols). (b) Develop an equation for shear...
Fluid Mechanics Chapter 7 Intro
QUESTION 1 If the number of parameters in a problem is m and the number of primary dimensions is 3, then the number of resultant Pl terms is QUESTION 2 If an object travels with a velocity V, a distance, s, in time t. The Pl term formed by using the three variables is QUESTION 3 Friction in the pipe: The shear stress on the pipe-walls (Tw) is a function of flow velocity, V, fluid...
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