Solve the following:
Q: For a study on global warming, an electronic instrument has to be designed to map and the CO2 absorption characteristics of the Pacific Ocean. The instrument package resembles a flat plate with a total (upper and lower) surface area of 2 m2. For safe operation, its surface temperature must not exceed the ocean temperature by 2°C. To monitor the temperature of the instrument package, which is towed by a ship moving at 20 m/s, the tension in the towing cable is measured. If the tension is 400 N, calculate the maximum permissible heat generation rate from the instrument package.
GIVEN
A flat plate towed through water
Total surface area (A) = 2 m2
Speed through the water (U∞) = 20 m/s
Towing cable tension (T) = 400 N
Maximum plate surface temperature - ocean temperature (?Tmax) = 2°C
ASSUMPTIONS
Steady state
Edge effects are negligible
Effects due to the towing cable are negligible
The speed given is speed relative to the water
The water temperature is about 20°C
The length of the plate in the direction of motion is notknown