A long fin extends from the external surface of a cylinder through wh...
Determination of fin length is an important step in designing a fin once its cross-sectional area has been determined. The longer the fin, the larger is the surface area, and the higher is the heat transfer. However, it is not necessary that the fin should be infinitely long for maximum heat transfer. It has been observed that the temperature drops along the fin exponentially and reaches an environmental temperature at some point along the fin length. Beyond this point, the length of the fin does not contribute to the heat transfer; therefore, designing extra-long fin results in material waste, excessive weight, and increased size at increased cost without any benefit in return.
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A long fin extends from the external surface of a cylinder through wh...
Answer should be ambient temperature ...
there should no heat drop at temperature which is less than ambient temperature .
A long fin extends from the external surface of a cylinder through wh...
**Explanation:**
When a long fin extends from the external surface of a cylinder through which hot fluid flows, heat is transferred from the fluid to the fin by convection. The excess temperature at the tip of the fin depends on the heat transfer mechanism and the boundary conditions.
**Heat Transfer Mechanism:**
- Conduction: Heat is transferred from the hot fluid to the fin through conduction. The temperature at the tip of the fin is determined by the thermal conductivity of the fin material and the rate of heat transfer.
- Convection: Heat is transferred from the fin to the surrounding air by convection. The temperature at the tip of the fin is influenced by the convective heat transfer coefficient and the temperature of the surrounding air.
**Boundary Conditions:**
- Insulated Tip: If the tip of the fin is insulated, there will be no heat transfer from the fin to the surrounding air. In this case, the excess temperature at the tip of the fin would be zero, as there is no heat transfer.
- Convective Boundary Condition: If the tip of the fin is exposed to the surrounding air, heat will be transferred from the fin to the air by convection. The excess temperature at the tip of the fin would be higher than the ambient temperature.
Therefore, the correct answer is option 'A' - Zero.