Heat Sink Convection with Fins Calculator

FINS
Fins are used to increase heat transfer area
and provide a cooling effect.
However, if h*A / P*k is greater than 1.00
the fins will insulate and prevent heat flow.
h = air film convective coefficient
A = exposed surface area of the fins.
P = perimeter of the fins.
k = fin material conductivity coefficient.
Case 1. Fin, finite length, heat loss by convection at end.
			Heat flow rate,  Q =	(K*Ab*n*ΔT)*X1 / X2
				Input Data
Temperature at fin base,  T1 =					deg F
Room Temperature,  T2 =					deg F
Fin width,  w =					in
Fin thickness,  t =					in
Fin material thermal conductivity,  K =					W/m*C
Convective heat transfer coefficient,  h =					W / m^2*C
Fin length,  L =					in
Number of fins,  N =
				Calculations
Fin width,  w =					m
Fin thickness,  t =					m
Fin base area,  A =				w*t	m^2
A =					m^2
Temperature difference,  ΔT =				T1 - T2
ΔT =					deg F
ΔT =					deg C
For thin fin,  n =				(2*h/K*t)^.5
n =
h / n*K =
L =					m
n*L =
sinh(n*L) =
cosh(n*L) =
X1 =				[(sinh(n*L) + (h / n*K)*cosh(n*L)]
X1 =
X2 =				[(cosh(n*L) + (h / n*K)*sinh(n*L)]
X2 =
Q =				N*(K*A*n*ΔT)*(X1 / X2))
Answer:  Q =					Watts
	Case 2. Fin, finite length (L) insulated end.
tanh(n*L) =
Heat flow rate,  Q =				N*(K*A*n*ΔT)*tanh(n*L)
Answer:  Q =					Watts

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