A thin sheet of glass is used on the roof of a green-house

Chapter 12, Problem 12.120

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A thin sheet of glass is used on the roof of a green-house and is irradiated as shown. The irradiation comprises the total solar flux GS, theflux Gatmdue to atmospheric emission (sky radiation),and the flux Gidue to emission from interior surfaces.The fluxes Gatmand Giare concentrated in the far IRregion (??8?m). The glass may also exchangeenergy by convection with the outside and insideatmospheres. The glass may be assumed to be totallytransparent for ??1 ?m (???1.0 for ??1?m) andopaque, with ???1.0 for ??1?m.(a) Assuming steady-state conditions, with all radia-tive fluxes uniformly distributed over the sur-faces and the glass characterized by a uniformtemperature Tg, write an appropriate energy bal-ance for a unit area of the glass.(b) For Tg?27C, hi?10 W/m2?K, GS?1100W/m2, T?,o?24C, ho?55 W/m2?K, Gatm?250 W/m2, and Gi?440 W/m2, calculate thetemperature of the greenhouse ambient air, T?,i.

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