# Rectangular Fin Heat Transfer

by kdb12
Tags: heat, rectangular, transfer
 P: 1 1. The problem statement, all variables and given/known data A straight, rectangular fin made from 2024 aluminium has a thickness of t = 3mm and length L = 20mm. Base temperature is 100 °C and it is exposed to a fluid at 20 °C. h = 60 W/m^2-K k = 185 W/m-K (a) Determine the heat transfer rate from the fin to the fluid per unit length (b) Repeat (a) if the fin is made of copper (h = 400 W/m^2-K) 2. Relevant equations ηo = 1 - (NAc/At) (1-ηf) At = NAc+Ab 3. The attempt at a solution nf = tanh(mLc)/mLc (I know this equation is right, but I'm lost from this point forward. Any help would be excellent.)
 PF Patron Thanks P: 2,948 Do you know how to write the steady state differential heat balance equation for a cooling fin, including the conductive heat transfer along the fin and the convective heat transfer from the fin to the surrounding air? If so, lets see it. Chet
 P: 157 There's formulas for this...it's really plug and chug, you're given everything you need. You need to calculate your m and M for a rectangular fin m=(2h/kt)^1/2; plug in your h, k and thickness For a rectangular fin M= (2hw^2tk)^1/2 *(tb-tinfinity) again substitute your h,k, width and thickness. Now that you have M and m you can just apply the formula, you have everything you need.

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