Question

Describe the differences, if any, between fin efficiency and fin resistance.

Answer 1

`\eta =(1)/(mL)`

`R=\sqrt {(KA)/(hP)}`

Step-by-step explanation:

Fin efficiency:

Fin efficiency is the ratio of actual heat transfer through fin to the maximum heat transfer through fin.

For infinite long fin:

Actual heat transfer

`q=√(hPKA)\Delta`

So the efficiency of fin

`\eta =(1)/(mL)`

Where

`m =\sqrt{(hP)/(KA)}`

h is heat transfer coefficient,P is the perimeter,K is the thermal conductivity and A is the cross sectional area.

`q=√(hPKA)\Delta`\

From equation we can say that fin resistance

`R=\sqrt {(KA)/(hP)}`

Thermal resistance offer resistance to flow of heat.