GATE 2023 II Heat transfer II Rank Booster Quiz 47

Standard differential equation in form of θ = (T – T_∞) for heat transfer through fin is

Choose the correct statements about fins.

1) fins are used to increase heat transfer from surface by increasing the effective surface area.

2) In fins, there is conduction of heat along the length of fin and also simultaneous converting from surface of fin into ambient fluid.

3) The temperature along the fin is variable and hence the rate of heat transfer varies along the elements of the fin

4) fins are equally effective irrespective of whether they are on the hot side or cold side of the fluid.

The temperature distribution within the infinitely long fin attached to a related wall is

A fin protrudes from a surface held at temperature T₀ to greater than the ambient temperature T_a. the temperature gradient will be maximum at

An infinity long pin fin is attached to an isothermal hot surface and transfer heat Q₁ at steady state to the ambient air. If the diameter of fin is increased to 4 times of initial diameter, while keeping everything else constant, the rate of steady state heat transfer from the fin becomes Q₂. The ratio Q₂/Q₁ is

Short fin can be considered as long fin when-

Fins are always used when surrounding fluid is having