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Radiant Heat Exchange Plates Different Sizes Equation and Calculator

Heat Transfer Engineering
Thermodynamics
Engineering Physics

Radiant heat exchange for two isothermal (constant temperature) parallel flat black plates of different sizes 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 L₁² x (T₁⁴ - T₂⁴ )

Where 56.69 x 10^-9 is the average Stefan-Bolzmann constant, L₁is the area of the plate, 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:

Length of plate 1 divided by the distance between the plates (L 1 / D) must be greater than 0.2 for this calculation.

Where:

x = (C) x ( 1 +E )
y = (C) x ( 1 - E )
C = L₁ / D
D = L₂ / L₁
W = Plate Width (W)
D = Spacing (m)
T₁ = Plate 1 Temperature (K)
T₂ = Plate 2 Temperature (K)
VF_1-2 = View Factor
q = Radiated Heat Flow (W)

References

Rosenow, W. M., J. P. Hartnett, Y. I. Young, Handbook of Heat Transfer , 3rd Ed., McGraw-Hill Handbooks, New York, 1998. p. 7.3 - 7.19, 7.81.