Q2: The roof of a house consists of a 15-cm-thick concrete slab (k = 2 W/m. C) that is 15 m wide and 20 m long. The convection heat transfer coefficients on the inner and outer surfaces of the roof are 5 and 12 W/m²· C, respectively. On a clear winter night, the ambient air is reported to be at 10C, while the night sky temperature is 100 K. The house and the interior surfaces of the wall are maintained at a constant temperature of 20C. The emissivity of both surfaces of the concrete roof is 0.9. Considering both radiation and convection heat transfers, determine the rate of heat transfer through the roof, and the inner surface temperature of the roof

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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Q2: The roof of a house consists of a 15-cm-thick concrete slab (k = 2 W/m C)
that is 15 m wide and 20 m long. The convection heat transfer coefficients on the
inner and outer surfaces of the roof are 5 and 12 W/m²· C, respectively. On a clear
winter night, the ambient air is reported to be at 10C, while the night sky
temperature is 100 K. The house and the interior surfaces of the wall are
maintained at a constant temperature of 20C. The emissivity of both surfaces of the
concrete roof is 0.9. Considering both radiation and convection heat transfers,
determine the rate of heat transfer through the roof, and the inner surface
temperature of the roof
Transcribed Image Text:Q2: The roof of a house consists of a 15-cm-thick concrete slab (k = 2 W/m C) that is 15 m wide and 20 m long. The convection heat transfer coefficients on the inner and outer surfaces of the roof are 5 and 12 W/m²· C, respectively. On a clear winter night, the ambient air is reported to be at 10C, while the night sky temperature is 100 K. The house and the interior surfaces of the wall are maintained at a constant temperature of 20C. The emissivity of both surfaces of the concrete roof is 0.9. Considering both radiation and convection heat transfers, determine the rate of heat transfer through the roof, and the inner surface temperature of the roof
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