Calculate the required tonnage of the refrigeration unit


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Q: A refrigeration truck is traveling at 80 mph on a desert highway where the air temperature is 50°C. The body of the truck may be idealized as a rectangular box, 3 m wide, 2.1 m high, and 6 m long, at a surface temperature of 10°C. Assume that the heat transfer from the front and back of the truck may be neglected, that the stream does not separate from the surface, and that the boundary layer is turbulent over the whole surface. If, for every 3600 W of heat loss, one ton capacity of the refrigerating unit is necessary, calculate the required tonnage of the refrigeration unit.

GIVEN

A refrigeration truck traveling on a desert highway

Speed of truck (U∞) = 80 mph

Air temperature (T∞) = 50°C

Truck may be idealized as a box: 3 m wide, 2.1 m high, 6 m long

Truck surface temperature (Ts) = 10°C

One ton of refrigeration unit is needed for every 3600 W of heat loss

ASSUMPTIONS

The heat transfer from the front and back of the truck is negligible

Air stream does not separate from the surface

The boundary layer is turbulent over the whole surface

Moisture of the air is negligible

Radiative heat transfer isnegligible

1796_Truck.jpg

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Mechanical Engineering: Calculate the required tonnage of the refrigeration unit
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