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Problem #2 A solid cylinder of radius R is rotating in a counter clockwise direction at...
A solid sphere of radius R is rotating with angular velocity ain otherwise still infinite fluid...
A solid sphere of radius R is rotating with angular velocity ain otherwise still infinite fluid of density ? and viscosity ? (a) For creeping flow assumptions to hold, which condition(s) has to be satisfied? (b) Under creeping flow assumption, solve the velocity field in the flow. Does the solution still satisfy the creeping flow assumption at the far field? fluid p, ?
Consider two concentric, infinitely long cylinders. The cylinders are oriented such that the center-line is along the z-axis, and the radii exist in the r-direction. The inner cylinder has a radius o...
Consider two concentric, infinitely long cylinders. The cylinders are oriented such that the center-line is along the z-axis, and the radii exist in the r-direction. The inner cylinder has a radius of ra and the outer cylinder has a radius Tb. The inner cylinder rotates with an angular velocity of w whereas the outer cylinder is stationary. There is no pressure gradient applied nor gravity. The fluid contained between the cylinders is assumed to be Netwonian, incompressible, isotropic and isothermal....
Q.5) (20 marks) Cylinder A is initially rotating at 1000 rpm in a clockwise direction; cylinder...
Q.5) (20 marks) Cylinder A is initially rotating at 1000 rpm in a clockwise direction; cylinder Bis rotating in a counterclockwise direction at 700 rpm. Cylinder A is brought into contact with cylinder B. Assuming no slipping, determine : Total initial momentum The final rpm of cylinder A Radius = 6 ft Wheel A: Solid cylinder, weight 128.8 lb Radius = 3 ft Wheel B: Solid cylinder, weight 64.4 lb Figure 5
Consider a medical device where blood is circulated in the annular space between two coaxial cyli...
do
the second prob pic
Consider a medical device where blood is circulated in the annular space between two coaxial cylinders (Figure 1). The inner cylinder (radius cylinder (radius R) is rotating with constant anacibeNewtonian fluid (density o. are infinitely long, and that blood behaves as an tncompcessiole viscosity . Ignore the effect of gravity. whereas the outer velocity oAssume that the cylinders 1a. Write a conservation equations appropriate to determine the fluid velocity profile insido the annular gap, along...
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)...
3. There is a solid cylinder of radius 2 mm inside a hollow cylinder of inner...
3. There is a solid cylinder of radius 2 mm inside a hollow cylinder of inner radius 4mm and outer radius 5 mm as shown in the figure. The inner cylinder has 10 A of current flowing in the direction shown and the outer cylinder has 20 of current in the direction shown. The path of integration is counter clockwise. What is the magnetic field at a point r-3 mm What is the magnetic field at a point r- 7...
10. (21 pts]Find the steady-state temperature distribution in a solid cylinder with radius R and height...
10. (21 pts]Find the steady-state temperature distribution in a solid cylinder with radius R and height H, if the boundary temperatures are set as 0 on the bottom surface, ugra/R? on the top surface and Uz/H on the curved surface 1 [4 pts) Write the governing equation and boundary conditions 2) [17 pts]Solve the problem
12. A liquid flows in a slit in the z-direction down a vertical plane, between 2...
12. A liquid flows in a slit in the z-direction down a vertical plane, between 2 broad parallel plates with distance L under the influence of gravity,g, with the plane parallel to the axis of gravity. Assume a uniform thickness of 2D for the liquid layer in the x-direction, steady state laminar flow, and that the fluid is Newtonian and incompressible. The plate at x=0 is heated to a constant temperature of Tp and all the fluid enters the slit...
Consider two concentric, infinitely long cylinders. The cylinders are oriented such that the center-line is along the z-axis, and the radii exist in the r-direction. The inner cylinder has a radius o...
Consider two concentric, infinitely long cylinders. The cylinders are oriented such that the center-line is along the z-axis, and the radii exist in the r-direction. The inner cylinder has a radius of ra and the outer cylinder has a radius rb. The inner cylinder moves in the positive z-direction with a velocity W while the outer cylinder is held stationary. The fluid contained between the cylinders is assumed to be Netwonian, incompressible, isotropic and isothermal. The flow of the fluid...
A string is wrapped around a uniform solid cylinder of radius r, as shown in the figure (Figure 1) . The cylinder can r...
A string is wrapped around a uniform solid cylinder of radius r, as shown in the figure (Figure 1) . The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Note that the positive y direction is downward and counterclockwise torques are positive. Find the magnitude α of the angular acceleration of the cylinder as the block descends. Express your answer in terms...
A solid sphere of radius R is rotating with angular velocity ain otherwise still infinite fluid of density ? and viscosity ? (a) For creeping flow assumptions to hold, which condition(s) has to be satisfied? (b) Under creeping flow assumption, solve the velocity field in the flow. Does the solution still satisfy the creeping flow assumption at the far field? fluid p, ?
Consider two concentric, infinitely long cylinders. The cylinders are oriented such that the center-line is along the z-axis, and the radii exist in the r-direction. The inner cylinder has a radius of ra and the outer cylinder has a radius Tb. The inner cylinder rotates with an angular velocity of w whereas the outer cylinder is stationary. There is no pressure gradient applied nor gravity. The fluid contained between the cylinders is assumed to be Netwonian, incompressible, isotropic and isothermal....
Q.5) (20 marks) Cylinder A is initially rotating at 1000 rpm in a clockwise direction; cylinder Bis rotating in a counterclockwise direction at 700 rpm. Cylinder A is brought into contact with cylinder B. Assuming no slipping, determine : Total initial momentum The final rpm of cylinder A Radius = 6 ft Wheel A: Solid cylinder, weight 128.8 lb Radius = 3 ft Wheel B: Solid cylinder, weight 64.4 lb Figure 5
do
the second prob pic
Consider a medical device where blood is circulated in the annular space between two coaxial cylinders (Figure 1). The inner cylinder (radius cylinder (radius R) is rotating with constant anacibeNewtonian fluid (density o. are infinitely long, and that blood behaves as an tncompcessiole viscosity . Ignore the effect of gravity. whereas the outer velocity oAssume that the cylinders 1a. Write a conservation equations appropriate to determine the fluid velocity profile insido the annular gap, along...
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)...
3. There is a solid cylinder of radius 2 mm inside a hollow cylinder of inner radius 4mm and outer radius 5 mm as shown in the figure. The inner cylinder has 10 A of current flowing in the direction shown and the outer cylinder has 20 of current in the direction shown. The path of integration is counter clockwise. What is the magnetic field at a point r-3 mm What is the magnetic field at a point r- 7...
10. (21 pts]Find the steady-state temperature distribution in a solid cylinder with radius R and height H, if the boundary temperatures are set as 0 on the bottom surface, ugra/R? on the top surface and Uz/H on the curved surface 1 [4 pts) Write the governing equation and boundary conditions 2) [17 pts]Solve the problem
12. A liquid flows in a slit in the z-direction down a vertical plane, between 2 broad parallel plates with distance L under the influence of gravity,g, with the plane parallel to the axis of gravity. Assume a uniform thickness of 2D for the liquid layer in the x-direction, steady state laminar flow, and that the fluid is Newtonian and incompressible. The plate at x=0 is heated to a constant temperature of Tp and all the fluid enters the slit...
Consider two concentric, infinitely long cylinders. The cylinders are oriented such that the center-line is along the z-axis, and the radii exist in the r-direction. The inner cylinder has a radius of ra and the outer cylinder has a radius rb. The inner cylinder moves in the positive z-direction with a velocity W while the outer cylinder is held stationary. The fluid contained between the cylinders is assumed to be Netwonian, incompressible, isotropic and isothermal. The flow of the fluid...
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