Related Resources: heat transfer

Radiant Heat Exchange Perpendicular Plates Equation and Calculator

Heat Transfer Engineering
Thermodynamics
Engineering Physics

Radiant heat exchange for two isothermal (constant temperature) perpendicular flat black plates of different lengths but equal widths equation and calculator.

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The heat flow (q) from the plate is calculated as:

q = 56.69 x 10^-9 x VF_(1-2) x L ₁ x W (T₁⁴ - T₂⁴ )

Where 56.69 x 10^-9 is the average Stefan-Bolzmann constant, L₁ is the length of plate 1, W the common width of both plates, T₁ is the plate 1 temperature and T₂ is the plate 2 temperature. The view factor VF_(1-2) (also known as radiation shape factor, angle factor, and configuration factor) is defined as: :

Where:

L₁ = Length (m)
L₂ = Length (m)
W = Width (m)
x = L₁ / W
y = L₂ / W
z = x² + y²
T₁ = Plate 1 Temperature (K)
T₂ = Plate 2 Temperature (K)
VF_1-2 = View Factor
q = Radiated Heat Flow (W)

References

Ellison G. N., Thermal Computations for Electronic Equipment , Van Nostrand Reinhold Company, New York, 1984. p. 78 - 80.

Holman, J.P., Heat Transfer , 7th ed., McGraw Hill Book Company, New York, 1990. p. 385 - 405.