Why the african elephant has developed the pinna


The african elephant has developed the pinna or external ear that functions as a radiator-convector. The pinna can be modeled as a flat plat with air flow over it. If the rate of metabolic heat production for a 2000 kg elephant is 1650 W, what is the maximum percentage of the metabolic heat that can be lost by convection through the pinna? Remember that an elephant has two ears, and heat is lost equally from both sides of the ear. The ambient air temperature is 20 C, the air velocity is 2 m/s, the surface area of one ear is 0.84 m^2, and the average length of one side of the ear is 1 m. I'm also give density is of air at 20 C (~290 in K) is 1.2177 km/m^3, specific heat is 1.0057 kJ/Kg*K, viscosity is 2.7504X10^5, thermal conductivity is 0.02547 W/m*K, thermal diffusivity is 2.0792x10^5 m^2/s and the Prandtl number is 0.710.

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Mechanical Engineering: Why the african elephant has developed the pinna
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