Question

An electric circuit board is to be cooled by forced convection through cooling fins. Heat of 100W needs to be removed from this board from a maximum temperature of 40 degree Celsius above the room air temperature of 20 degree Celsius. The forced convection heat transfer coefficient is 355W/(m2K). Determine the required surface area of the fins. ANSWER IN m2

Answer 1

`A = 0.00704 m^2`

Step-by-step explanation:

Amount of heat to be removed,
`\dot{Q} = 100 W`

Change in temperature,
`\triangle T = 40^0 C`

The room air temperature,
`T_1 = 20^0C`

The forced convection heat transfer coefficient, h = 355 W/(m²K)

Required surface area of the fins, A = ?

Given all the above parameters, the surface area of the fins is given by the formula:

`A = \frac{\dot{Q}}{h * \triangle T} \\\\A = (100)/(355 * 40)\\\\A = 0.00704 m^2`