Organic Rankine Cycles for Waste Heat Recovery and Solar Uses

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Organic Rankine Cycles for Waste Heat Recovery and Solar Uses ( organic-rankine-cycles-waste-heat-recovery-and-solar-uses )

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Chapter 6: Case studies To reduce the magnitude of q34,rad , a selective coating is applied on the collector tube, maximizing the solar absorptivity and minimizing the infra-red emissivity. This emissivity is calculated according to Forristall recommendation for a "Solar UAV cermet" coating: εcoating=2.249⋅10−7⋅T 23+1.039⋅10−4⋅T3+5.599⋅10−2 (80) For each cell of the discretized collector (having a length equal to the total focal line length divided by the number of cells) the different energy balance equations can be applied: Tex,cell=Tsu,cell+ q12⋅Δx M ̇ htf⋅c̄phtf q45=q34,conv+q34,rad q56, conv=q45+qsun,5−q57 q12, conv=q23 q23+q34,conv+q23,rad−qsun,3=0 The pressure drop on the heat transfer fluid can using the following equation: f ⋅Δ L⋅G2 Δpcell= htf (81) (82) (83) (84) (85) be computed in each cell (86) the Gnielinski correlation Value 0.94 0.92 0.98 0.93 0.96 66 mm 70 mm 80 mm 88 mm 46 m 2.5 m 0.96 0.04 0.96 0.86 15 where f is the friction factor, calculated with (Incropera & DeWitt, 2001). 2⋅D2⋅ρ Parameter ρmirror ηtracking ηshadowing ηgeometry ηunaccounted D2 D3 D4 D5 Lcol W col τenv αenv αcoating εenv N Description Mirror reflectivity Tracking error Shadowing error Geometry error Unaccounted losses Absorber tube inner diameter Absorber tube outer diameter Envelope inner diameter Envelope outer diameter Total collector length Collector width envelope transmissivity envelope absorbtivity coating absorbtivity envelope emissivity Number of node Table 25: Collector model parameters 7

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