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A house has a composite wall of wood, fiberglass insulation, and plaster board, as indicated in the sketch. On a hot summer day, the outer siding absorbs irradiation at a rate of drad while the convection heat transfer coefficients are ho = 60 W/m²/K and hi = 30 W/m² /K. Plaster board, k Inside 111 Glass fiber blanket (28 kg/m³), k 10 mm 90 mm 1. Plywood siding, k grad Outside ho Too,0 111 20 mm Note: Fiberglass blanket: kb=0.038 W/(m K) Plaster board: kp = 0.17 W/(m K) Plywood siding: k, =0.12 W/(m K) Lp Lg (a) Provide a resistance diagram showing resistances and all relevant heat fluxes. (b) With a surface energy balance at the location of drad, determine an expression for the temperature on the outer-wall surface Ts. Express your answer in terms of defined variables. (c) With T... = 33°C, T = 20°C, dad = 200 W/m², and other parameter values above, calculate the temperature on the outer-wall surface T₁. (d) Finally, calculate the flux through the wall in W/m².

A house has a composite wall of wood, fiberglass insulation, and plaster board, as indicated in the sketch. On a hot summer day, the outer siding absorbs irradiation at a rate of drad while the convection heat transfer coefficients are ho = 60 W/m²/K and hi = 30 W/m² /K. Plaster board, k Inside 111 Glass fiber blanket (28 kg/m³), k 10 mm 90 mm 1. Plywood siding, k grad Outside ho Too,0 111 20 mm Note: Fiberglass blanket: kb=0.038 W/(m K) Plaster board: kp = 0.17 W/(m K) Plywood siding: k, =0.12 W/(m K) Lp Lg (a) Provide a resistance diagram showing resistances and all relevant heat fluxes. (b) With a surface energy balance at the location of drad, determine an expression for the temperature on the outer-wall surface Ts. Express your answer in terms of defined variables. (c) With T... = 33°C, T = 20°C, dad = 200 W/m², and other parameter values above, calculate the temperature on the outer-wall surface T₁. (d) Finally, calculate the flux through the wall in W/m².

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.51P
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A house has a composite wall of wood, fiberglass insulation, and plaster board, as indicated in the sketch. On a hot summer day, the outer siding absorbs irradiation at a rate of d"ad_ while the convection heat transfer coefficients are ho = 60 W/m²/ K and h₁ = 30 W/m² /K. Plaster board, k,, Inside hi, Too, i 10 mm Glass fiber blanket (28 kg/m³), k₂, 90 mm 14 Plywood siding, k grad Outside No, Too,o 111 20 mm Note: Fiberglass blanket: k = 0.038 W/(m K) Plaster board: k₂ = 0.17 W/(m K) Plywood siding: k, = 0.12 W/(m K) Lp Ls (a) Provide a resistance diagram showing resistances and all relevant heat fluxes. (b) With a surface energy balance at the location of drad, determine an expression for the temperature on the outer-wall surface Ts. Express your answer in terms of defined variables. (c) With To=33°C, Ti = 20°C, 9rad 200 W/m², and other parameter values above, calculate the temperature on the outer-wall surface Ts. (d) Finally, calculate the flux through the wall in W/m².
Transcribed Image Text:A house has a composite wall of wood, fiberglass insulation, and plaster board, as indicated in the sketch. On a hot summer day, the outer siding absorbs irradiation at a rate of d"ad_ while the convection heat transfer coefficients are ho = 60 W/m²/ K and h₁ = 30 W/m² /K. Plaster board, k,, Inside hi, Too, i 10 mm Glass fiber blanket (28 kg/m³), k₂, 90 mm 14 Plywood siding, k grad Outside No, Too,o 111 20 mm Note: Fiberglass blanket: k = 0.038 W/(m K) Plaster board: k₂ = 0.17 W/(m K) Plywood siding: k, = 0.12 W/(m K) Lp Ls (a) Provide a resistance diagram showing resistances and all relevant heat fluxes. (b) With a surface energy balance at the location of drad, determine an expression for the temperature on the outer-wall surface Ts. Express your answer in terms of defined variables. (c) With To=33°C, Ti = 20°C, 9rad 200 W/m², and other parameter values above, calculate the temperature on the outer-wall surface Ts. (d) Finally, calculate the flux through the wall in W/m².
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