A long cylindrical rod of 100 mm radius consists of a nuclear material (k = 0.5...

A long cylindrical rod of 100 mm radius consists of a nuclear material (k = 0.5 W/m-K) generating 24 kW/m3 uniformly throughout its volume. The rod is enclosed within a tube having an outer radius of 200 mm and a thermal conductivity of 4 W/m-K. The outer surface is exposed to a convection environment at 100 C with a convective heat transfer coefficient of 20 W/m2-k.

a) Calculate the heat rate per unit length being convected away from the rod.

b) Calculate the interface temperature and the outer surface temperature.

c) Show a plot of temperature vs. radius from r = 0 to r = 300 mm.

Solutions

Expert Solution

samet mamat answered 1 year ago

Next > < Previous

Related Solutions

A long cylindrical rod of 100 mm radius consists of a nuclear material (k = 0.5...

A nuclear fuel element is in the form of long solid cylindrical rod (k=0.85 W/mK) of...

A nuclear fuel element is in the form of long solid cylindrical rod (k=0.85 W/mK) of diameter 14 mm is generating heat at an uniform rate of 0.45×108 W/m3 because of nuclear fission. Heat is transfer to pressurized cooling water at 300 0C and surface heat transfer coefficient is 4500 W/m2k. calculate the maximum temperature in the fuel rod in the system. What is the change in Tmax if the fuel element is encapsulated in a thin metal cladding of...

A cylindrical rod 25.0 cm long with a mass of 1.20 kg and a radius of...

A cylindrical rod 25.0 cm long with a mass of 1.20 kg and a radius of 1.50 cm has a ball of diameter of 7.90 cm and a mass of 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top. The apparatus is free to pivot about the bottom end of the rod. (a) After it falls through 90°, what is its rotational kinetic energy? J (b) What is the angular...

A long, hollow, cylindrical conductor (inner radius 2.4 mm, outer radius 4.4 mm) carries a current...

A long, hollow, cylindrical conductor (inner radius 2.4 mm, outer radius 4.4 mm) carries a current of 45 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 24 A in the opposite direction. What is the magnitude of the magnetic field (a) 1.4 mm, (b) 2.6 mm, and(c) 4.7 mm from the central axis of the wire and cylinder?

A cylindrical tube that is 2.20 m long and has a radius of 150 mm is...

A cylindrical tube that is 2.20 m long and has a radius of 150 mm is filled with water. It is oriented with its long central axis vertical, and it is open to the air at the upper end. A hole 80.0 mm in radius is drilled in the bottom, and the water is allowed to drain out. When the water level is half the height of the tube, (a) what is the speed of the water exiting through the...

A cylindrical resistor with radius K and length L is made from a material with conductivity...

A cylindrical resistor with radius K and length L is made from a material with conductivity ?. The potential difference between the circular ends is V. What is the current that flows from one end to the other? What is the resistance? Show that the resistance you found is R = ?L/A, where ? is the resistivity of the material, and A is the cross-sectional area of the cylinder. (Hint: The electric field is constant throughout the resistor, but its...

The current density inside a long, solid, cylindrical wire of radius a = 5.0 mm is...

The current density inside a long, solid, cylindrical wire of radius a = 5.0 mm is in the direction of the central axis and its magnitude varies linearly with radial distance r from the axis according to J = J0r/a, where J0 = 220 A/m2. Find the magnitude of the magnetic field at a distance (a) r=0, (b) r = 2.7 mm and (c) r=5.0 mm from the center.

A coaxial cable consists of a long cylindrical copper wire of radius r1 surrounded by a...

A coaxial cable consists of a long cylindrical copper wire of radius r1 surrounded by a cylindrical insulating shell of outer radius r2 . A final conducting cylindrical shell of outer radius r3 surrounds the insulating shell. The wire and conducting shell carry equal but opposite currents I uniformly distributed over their volumes. What is the current density j(r) for all r? Find formulas for the magnetic field in each of the regions.

A very long coaxial cable consists of a solid cylindrical inner conductor of radius 3.8mm ,...

A very long coaxial cable consists of a solid cylindrical inner conductor of radius 3.8mm , surrounded by an outer cylindrical conductor with inner radius 7mm , and outer radius 9.3mm . The region between the two conductors is filled with a waxlike insulating material to keep the conductors from touching each other. The inner conductor carries a current 4.65A , into the page, while the outer conductor carries a current 4.6A , out of the page. Part A Use...

You have 100 m of fine copper wire with a radius of 0.5 mm. Having only...

You have 100 m of fine copper wire with a radius of 0.5 mm. Having only a 12 V power supply that can be treated as ideal, a pencil, and a bag of long nails made from 99.8% pure iron (relative magnetic permeability of 200) you need to make a magnet that would produce a strong magnetic field. A. What is the resistance of the 100 m of the given copper wire? Assume the resistivity of copper to be ρ...

Subjects