Heat Transfer by Natural Convection

Assignment

  1. An aluminum cylinder with a diameter of 0.04 m and length of 0.5 m is supplied with 20 W power and is surrounded by a rectangular box of side 0.05 m and height 0.6 m. The surrounding temperature is 27°C. Calculate the heat transfer coefficient at the surface of the given cylinder.
  2. Calculate the heat transfer coefficient and Nusselt number for a copper cylinder with a diameter of 0.06 m and length of 0.8 m. The cylinder is covered by a hollow rectangular box with side 0.06 m and height 5 m. The input power supplied to the metal is 33 W.
  3. What happens to the value of the heat transfer coefficient at the surface of an iron cylinder when the initial power is increased from 48 W to 65 W? The cylinder has a diameter of 0.07 m and length of 1 m. The outer rectangular box has a side of 0.08 m and height of 0.7 m.
  4. A vertical steel cylinder with a diameter of 0.05 m and length of 1 m conducts heat with a power of 78 W. The outer rectangular box has dimensions 0.09 m × 0.8 m. Calculate the heat transfer coefficient at the surface of the metal cylinder and the corresponding Nusselt number.
  5. How does the diameter of a silver cylinder affect the value of the heat transfer coefficient when the diameter changes from 0.05 m to 0.1 m? The power supplied is 20 W, the length of the cylinder is 0.9 m, and the rectangular box has dimensions 0.08 m × 0.9 m.