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In: Mechanical Engineering

Q1) In a food processing facility, a spherical container of inner radius r1 =41 cm, outer...


Q1) In a food processing facility, a spherical container of inner radius r1 =41 cm, outer radius r2 = 43 cm, and thermal conductivity k = 2 W/m · °C is used to store hot water and to keep it at 105°C at all times. To accomplish this, the outer surface of the container is wrapped with a 510-W electric strip heater and then insulated. The temperature of the inner surface of the container is observed to be nearly 100°C at all times. Assuming 80 percent of the heat generated in the heater is transferred to container
a) Express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the container,
b) Obtain a relation for the variation of temperature in the container material by solving the differential equation.
c) Determine the temperature at the center plane of the container

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samet mamat answered 2 months ago
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