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Annular Rectangular Fin

 

 

Dimensional

The function eta_fin_annular_rect calculates the fin efficiency of an annular fin.  The function then calls a corresponding non-dimensional function, which determines the fin efficiency.  Note that the fin surface area that should be used with this fin efficiency is:

 

 

 

Inputs:

 r_in - inner diameter of annular disk

 r_out - outer diameter of annular disk

 th - thickness of annular disk

 h - heat transfer coefficient

 k - conductivity of fin material

 

Example:

$UnitSystem SI K Pa J

r_in=0.01[m]

r_out=0.03 [m]

th=0.004 [m]

h=60 [W/m^2-K]

k=200 [W/m-K]

eta=eta_fin_annular_rect(th, r_in, r_out, h, k)

 

{Solution: 

eta=0.9666} 

 

 

 

Non-dimensional: eta_fin_annular_rect_ND(mr_out, r_in\r_out)

Function eta_fin_annular_rect_ND returns the fin efficiency of an annular fin given the product of the fin parameter, m, and out radius, r_out and the ratio of the inner to outer radii.  The first parameter is defined as:

 

 

 

Fin Efficiency Index