Module 1 : Conduction
Lecture 3 : Conduction with heat generation (contd.). Fins and Fin optimization
 
Extended surface heat transfer-1
  • Extended surface heat transfer is an important engineering application. A new governing equation is often derived.
  • For the derivation assume temperature varies only in the x direction. However, heat is lost in the y direction and therefore must be accounted for also. A two (or higher) dimension problem is converted to a one dimensional situation – this is why a new governing equation needs to be derived.
Extended surface heat transfer-2 
  • Consider a surface attached to a parent surface as shown:
 
 
  • Take small slice at a given distance ‘x’ – need not be circular as shown