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7. Consider a cylinder of diameter D located at a distance d from a wall located on the x-axis As...
7. Consider a cylinder of diameter D located at a distance d from a wall located on the x-axis. A...
Solve Q8
7. Consider a cylinder of diameter D located at a distance d from a wall located on the x-axis. Assuming that d>>D, determine the complex potential and velocity distribution. Repeat problem 7 assuming that the cylinder rotates about its axis with an angular speed of Ω Also determine the force on the cylinder 8,
7. Consider a cylinder of diameter D located at a distance d from a wall located on the x-axis. Assuming that d>>D, determine the...
7. A positive charge, Q1 , is placed on the +y axis, a distance d from...
7. A positive charge, Q1 , is placed on the +y axis, a distance d from the origin. A negative charge, Q2, is placed on the +x axis, also a distance d from the origin. Find the magnitude of the net electric potential at the origin if Q1 = +25 nC, Q2 = -10 nC, and d = 1.5 cm. A B C D E 13,732 V 5,025 V 8.990 V 20,977 V 7,676 V
Positive charge Q is distributed uniformly along the z-axis from x = 0 to x = a.
.1.Positive charge Q is distributed uniformly along the z-axis from x = 0 to x = a. A positive point charge q is located on he positive z-axis at a distance d to the right of the origin.(a) Calculate the electric potential produced by the charge distribution Q at x = d. (b) Develop an expression for the potential energy that would be added to the system by bringing a charge q from infinity to x = d. (c) Assuming the charges...
A thick-walled steel cylinder with internal diameter = 16 mm and external diameter = 24 mm is sub...
A thick-walled steel cylinder with internal diameter = 16 mm and
external diameter = 24 mm is subjected to a gradually increasing
internal pressure P.
I. Using accurate formulation, determine the value
of P and sketch the distribution of radial, tangential and maximum
shear stresses when:
a. The material of the cylinder first commences to
yield.
b. Yielding progressed to mid-depth of the cylinder
wall (at D= 20 mm ).
c. The material of the cylinder suffers complete
collapse (fully...
Consider a circular cylinder of radius a whose central axis is stationary. The cylinder is surrounded by a fluid that i...
Consider a circular cylinder of radius a whose central axis is stationary. The cylinder is surrounded by a fluid that is moving with a uniform steady velocity Uk far from the cylinder; the cylinder axis is in the z-direction The cylinder is also spinning on its axis with constant angular velocity, Ω2, where x, у and z are the usual Cartesian unit vectors We wish to model this 2D flow using an inviscid approximation. This is achieved by first calculating...
This question assesses the gravitational attraction due to a cylinder of mass. Consider a cylinde...
This question assesses the gravitational attraction due to a cylinder of mass. Consider a cylinder with radius R equal to the mean radius of the Earth, length L and a mass M equal to the mass of the Earth. The specific task is to determine the escape velocity from the end of the cylinder. First, though, consider a different but related problem: a particle with mass mp placed a distance r from the center of a ring of mass M,...
8. Consider a cylindrical surface and a disk oriented coaxially as shown in the figure below. The cylinder has diameter...
8. Consider a cylindrical surface and a disk oriented coaxially as shown in the figure below. The cylinder has diameter D and a length L. The disk of diameter D is placed coaxially with the cylinder at a distance L. If L 2D, determine the view factor F12 between the cylinder surface (1) and the disk (2) facing it. Cylindrical Surface Disk L L
8. Consider a cylindrical surface and a disk oriented coaxially as shown in the figure below....
1. Consider the case where a liquid is confined between two walls a distance D apart...
1. Consider the case where a liquid is confined between two walls a distance D apart with one wall located at r--D/2 and the other at x- D/2. The walls carry a surface charge density of ? and the liquid has only counter-ions to the surface charge. The Poisson-Boltzman equation (PBE) for this case is where is the electric potential that gives the electric field E- d '/dr, no is the nunber density of counter-ions of valency at x =...
A rod of length L is located along the x-axis with its right end at the...
A rod of length L is located along the x-axis with its right end at the origin. The rod has a total charge -Q and a uniform linear charge density. Find the electric potential at point P located on the y-axis a distance a from the origin.
3. Consider a cylinder of 20 mm in diameter (D) and 100 mm in length (L)...
3. Consider a cylinder of 20 mm in diameter (D) and 100 mm in length (L) that is installed in a duct. Air moves in cross flow over the side surface of the cylinder at a temperature (To) and velocity (V) of 33.7 C and 30 m/s, respectively. If the average cylinder surface temperature (T) is maintained at 120°C, what is the required power generation of the cylinder? Note: (1) Air properties can be found from Table A.4 in the...
Solve Q8
7. Consider a cylinder of diameter D located at a distance d from a wall located on the x-axis. Assuming that d>>D, determine the complex potential and velocity distribution. Repeat problem 7 assuming that the cylinder rotates about its axis with an angular speed of Ω Also determine the force on the cylinder 8,
7. Consider a cylinder of diameter D located at a distance d from a wall located on the x-axis. Assuming that d>>D, determine the...
7. A positive charge, Q1 , is placed on the +y axis, a distance d from the origin. A negative charge, Q2, is placed on the +x axis, also a distance d from the origin. Find the magnitude of the net electric potential at the origin if Q1 = +25 nC, Q2 = -10 nC, and d = 1.5 cm. A B C D E 13,732 V 5,025 V 8.990 V 20,977 V 7,676 V
A thick-walled steel cylinder with internal diameter = 16 mm and
external diameter = 24 mm is subjected to a gradually increasing
internal pressure P.
I. Using accurate formulation, determine the value
of P and sketch the distribution of radial, tangential and maximum
shear stresses when:
a. The material of the cylinder first commences to
yield.
b. Yielding progressed to mid-depth of the cylinder
wall (at D= 20 mm ).
c. The material of the cylinder suffers complete
collapse (fully...
Consider a circular cylinder of radius a whose central axis is stationary. The cylinder is surrounded by a fluid that is moving with a uniform steady velocity Uk far from the cylinder; the cylinder axis is in the z-direction The cylinder is also spinning on its axis with constant angular velocity, Ω2, where x, у and z are the usual Cartesian unit vectors We wish to model this 2D flow using an inviscid approximation. This is achieved by first calculating...
This question assesses the gravitational attraction due to a cylinder of mass. Consider a cylinder with radius R equal to the mean radius of the Earth, length L and a mass M equal to the mass of the Earth. The specific task is to determine the escape velocity from the end of the cylinder. First, though, consider a different but related problem: a particle with mass mp placed a distance r from the center of a ring of mass M,...
8. Consider a cylindrical surface and a disk oriented coaxially as shown in the figure below. The cylinder has diameter D and a length L. The disk of diameter D is placed coaxially with the cylinder at a distance L. If L 2D, determine the view factor F12 between the cylinder surface (1) and the disk (2) facing it. Cylindrical Surface Disk L L
8. Consider a cylindrical surface and a disk oriented coaxially as shown in the figure below....
1. Consider the case where a liquid is confined between two walls a distance D apart with one wall located at r--D/2 and the other at x- D/2. The walls carry a surface charge density of ? and the liquid has only counter-ions to the surface charge. The Poisson-Boltzman equation (PBE) for this case is where is the electric potential that gives the electric field E- d '/dr, no is the nunber density of counter-ions of valency at x =...
3. Consider a cylinder of 20 mm in diameter (D) and 100 mm in length (L) that is installed in a duct. Air moves in cross flow over the side surface of the cylinder at a temperature (To) and velocity (V) of 33.7 C and 30 m/s, respectively. If the average cylinder surface temperature (T) is maintained at 120°C, what is the required power generation of the cylinder? Note: (1) Air properties can be found from Table A.4 in the...
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