How do we determine the convection coefficient for extended surfaces or fins?

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For extended surface or fin, how do we find the convection coefficient ? Explain some general idea? thanks
 
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There are many possibilities. First, determine if the flow on the fin is natural or forced convection. In other words, is it just sitting there or is there a fan or pump blowing fluid on it.

For example, suppose it is a rectangular horizontal fin exposed to natural outside air. You could than apply natural circulation correlations for flat horizontal flat plates.
 

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