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This study examines the optimal size of a solar absorber using mathematical models and simulations. Results suggest that the ideal width for the solar collector absorber should be between 40 to 60 inches, depending on surface temperature.
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What is the optimal size for a solar absorber? Stephen Evans Samuel Seager Me 340 Dr. Vladimir Solovjov
The component of direct radiation • Xcosø = Wm/2 • X = Wm/(2cosø) • Qdir = AEa q” = WmL/2cosø(Eaqdir”)
The component of diffused radiation • tan(θ/2) = (Wa/2)/d • θ/2 = arctan(Wa/2d) • θ = 2arctan(Wa/2d) • Percentage of diffused radiation is: η • η = angle of projected/total projected = θ/Π = (2/Π) arctan (Wa/2d) • Qdiff = Aηqdiff = (WmL2/Π)arctan (Wa/2d)
Net energy from radiation • Q = [(WmL/2cosθ)(Eaqdir”) + (2WmL/Π) arctan (Wa/2d)]n - Ea r(Ta4 – T∞4)WaL • Plot with varying Wm to find qmax • Conclusion: The ideal width for the solar collector absorber should be in the range of 40 to 60 inches depending on its surface temperature.