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class 33 - Real Surfaces Click to edit Master subtitle...

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Click to edit Master subtitle style 8/13/11 Real Surfaces Chapter 12 Sections 12.4,5
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8/13/11 Intensity – rate at which emission from dA1 passes through dAn. The area of intensity component of dA1 perpendicular to direction of radiation is dA1cos . θ λ ϖ θ θ λ λ d d dA dq I e cos ) , , ( 1 , Φ
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8/13/11 ∫ ∫ = = 0 2 0 2 / 0 , ) ( sin cos ) , , ( ) ( λ λ φ θ θ θ φ θ λ λ λ ππ λ λ d G G d d I G i ∫ ∫ = = 0 2 0 2 / 0 , ) ( sin cos ) , , ( ) ( λ λ φ θ θ θ φ θ λ λ λ ππ λ λ d E E d d I E e ∫ ∫ + = = 0 2 0 2 / 0 , ) ( sin cos ) , , ( ) ( λ λ φ θ θ θ φ θ λ λ λ ππ λ λ d J J d d I J r e
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8/13/11 Irradiation – radiation incident from all areas for intercepting surface ∫ ∫ = = 0 2 0 2 / 0 , ) ( sin cos ) , , ( ) ( λ λ φ θ θ θ φ θ λ λ λ ππ λ λ d G G d d I G i
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8/13/11 Radiosity– all the radiant energy leaving a surface (including reflection) ∫ ∫ + = = 0 2 0 2 / 0 , ) ( sin cos ) , , ( ) ( λ λ φ θ θ θ φ θ λ λ λ ππ λ λ d J J d d I J r e
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8/13/11
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8/13/11 Absorptivity The spectral, directional absorptivity : The spectral, hemispherical absorptivity : The total, hemispherical absorptivity : Assuming negligible temperature dependence, α ) , , ( ) , , ( , . , , φ θ λ φ θ λ α λ λ θ λ i abs i I I ) ( ) ( , λ λ α λ λ λ G G abs G G abs α
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8/13/11 Reflectivity Reflectivity of an Opaque Material The spectral, directional reflectivity : Assuming negligible temperature dependence: The spectral, hemispherical reflectivity : The total, hemispherical reflectivity : ) , , ( ) , , ( , . , , φ θ λ φ θ λ ρ λ λ θ λ i ref i I I ) ( ) ( , λ λ ρ λ λ λ G G ref G G ref ρ
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8/13/11 Transmissivity Transmissivit y The spectral, hemispherical transmissivity: Assuming negligible temperature dependence, ( 29 tr G G λ λ λ λ τ λ , The total, hemispherical transmissivity : 1 1 λ λ λ ρ α τ ρ α τ + + = + + + ) ( ) ( , λ λ τ λ λ λ G G tr G G tr τ
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