Question

In: Mechanical Engineering

A spherical shell of wood with thermal conductivity of 0.13 W/m.K and an inner and outer...

A spherical shell of wood with thermal conductivity of 0.13 W/m.K and an inner and outer radius of 10 cm and 20 cm respectively contains a mixture of water and water vapor(100 C) inside the shell which is undergoing a phase change at atmospheric pressure. The shell is suspended in a large room with an ambient air temperature of 25 C Determine the temperature on the outer surface of the spherical shell and rate of heat loss from the fluid undergoing phase change. The thermal conductivity of air is 0.024 W/m.K Assume negligible flow of air inside the room.

Solutions

Expert Solution


Related Solutions

A nonconducting spherical shell of inner radius a = 2.00 cm and outer radius b =...
A nonconducting spherical shell of inner radius a = 2.00 cm and outer radius b = 2.40 cm has (within its thickness) a positive volume charge density p = A/r, where A is a constant and r is the distance from the center of the shell. In addition, a small ball of charge q = 4.5 x 10 ^ -14 C is located at the center of that center. Find the total charge of the shell.
A capacitor consists of two concentric spherical shells. The outer radius of the inner shell is...
A capacitor consists of two concentric spherical shells. The outer radius of the inner shell is a = 0.1 m and the inner radius of the outer shell is b = 0.2 m. a. What is the capacitance, C, of this capacitor? b. Suppose the maximum possible electric field at the outer surface of the inner shell before the air starts to ionize E max(r=a) = 3.0*10^6 V/m . What is the maximum possible charge on the inner capacitor? c....
A small conducting spherical shell with inner radius a and outer radius b is concentric with...
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of -1q and the outer shell has a total charge of +3q. Select True or False for the following statements. 1. The total charge on the inner surface of the small shell is -4q. 2. The total charge on the outer surface of the...
A small conducting spherical shell with inner radius a and outer radius b is concentric with...
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of -2q and the outer shell has a total charge of +4q. Select True or False for the following statements. The total charge on the inner surface of the small shell is zero. True False  The total charge on the inner surface of the large...
A spherical shell has inner radius RinRin and outer radius RoutRout. The shell contains total charge...
A spherical shell has inner radius RinRin and outer radius RoutRout. The shell contains total charge QQ, uniformly distributed. The interior of the shell is empty of charge and matter. Part A Find the electric field strength outside the shell, r≥Routr≥Rout. Part B Part complete Find the electric field strength in the interior of the shell, r≤Rinr≤Rin. Part C Find the electric field strength within the shell, Rin≤r≤RoutRin≤r≤Rout.
A solid spherical shell with a 12.0 cm inner radius and 15.0 cm outer radius is...
A solid spherical shell with a 12.0 cm inner radius and 15.0 cm outer radius is filled with water. A heater inside the water maintains the water at a constant temperature of 350 K. The outer surface of the shell is maintained at 280 K. The shell is made of Portland cement, which has a thermal conductivity of 0.29 W/(mK). (a) Starting from the basic equation for thermal conduction, derive the rate at which heat flows out of the water....
An insulated spherical shell of inner radius a1 and outer radius a2 has a charge density...
An insulated spherical shell of inner radius a1 and outer radius a2 has a charge density ρ=6r C/m4. (a) (2 pts.) Based on the symmetry of the situation, describe the Gaussian surface (if any) that could be used to find the electric field inside the spherical shell. (b) (3 pts.) Starting from the definition of charge enclosed, briefly derive the integral expression for the charge enclosed inside a Gaussian surface within the insulated spherical shell for the given charge density....
A conducting spherical shell with inner radius a=0.1 m and outer radius b=0.5 m has a...
A conducting spherical shell with inner radius a=0.1 m and outer radius b=0.5 m has a positive point charge Q=+5 nC located in its center. The total charge on the shell is -3Q and it is insulated from its surroundings. a. Calculate the surface charge density on the surfaces of the shell. b. Calculate the magnitude of the electric field at a radius of 0.01 m, and at a radius of 1.5 m. c. Sketch the electric field lines in...
A non-conducting spherical shell of inner radius R1 and outer radius R2 contains a uniform volume...
A non-conducting spherical shell of inner radius R1 and outer radius R2 contains a uniform volume charge density p through the shell. Use Gauss's Law to derive an equation for the magnitude of the electric field at the following radial distances r from the center of the sphere. Your answer should be in terms of p,R1,R2,r Eo, and pi. a). r < R1 b.) R1 <r<2 c.) r>R2
Aspherical container of inner radius r1 2 m, outer radius r2 2.1 m, and thermal conductivity...
Aspherical container of inner radius r1 2 m, outer radius r2 2.1 m, and thermal conductivity k 30 W/m · °C is filled with iced water at 0°C. The container is gaining heat by convection from the surrounding air at T 25°C with a heat transfer coefficient of h 18 W/m2 · °C. Assuming the inner surface temperature of the container to be 0°C, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT