A house has a composite wall of wood, fiberglass insulation, and plaster board, as indicated in thesketch. On a hot summer day, the outer siding absorbs irradiation at a rate of d"ad_ while theconvection heat transfer coefficients are ho = 60 W/m²/ K and h₁ = 30 W/m² /K.Plaster board, k,,Insidehi, Too, i10 mmGlass fiber blanket(28 kg/m³), k₂,90 mm14Plywood siding, kgradOutsideNo, Too,o11120 mmNote:Fiberglass blanket: k = 0.038 W/(m K)Plaster board: k₂ = 0.17 W/(m K)Plywood siding: k, = 0.12 W/(m K)LpLs(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 thetemperature 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, calculatethe temperature on the outer-wall surface Ts.(d) Finally, calculate the flux through the wall in W/m².

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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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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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