In the study of heat transfer
, a fin
is a surface that extends from an object to increase the rate of heat transfer to or from the environment by increasing convection
. The amount of conduction
, or radiation
of an object determines the amount of heat it transfers. Increasing the temperature
difference between the object and the environment
, increasing the convection heat transfer coefficient
, or increasing the surface area
of the object increases the heat transfer. Sometimes it is not economical
or it is not feasible to change the first two options. Adding a fin to an object, however, increases the surface area and can sometimes be an economical solution to heat transfer problems.
To create a simplified equation for the heat transfer of a fin, many assumptions need to be made.
- Steady state
- Constant material properties (independent of temperature)
- No internal heat generation
- One-dimensional conduction
- Uniform cross-sectional area
- Uniform convection across the surface area
With these assumptions, the conservation of energy can be used to create an energy balance for a differential cross section of the fin.
Fourier’s law states that
<math>q_x=-kA_c left ( frac right )</math>,
where <math>A_c</math> is the cross-sectional area of the differential element. Therefore the conduction rate at x+dx can be expressed... Read More