(a) Let's say that it is chilly To outside, and a much warmer T; inside. If we were to have a single-pane window (which is made of a single piece of glass) with a thickness w and an area A, write an equation for (i) the flux of heat Fh across the window; and (ii) the flow of heat Qh across the window. What are the units of Fh and Qn? (b) Determine values for Fh and Qn assuming that T, = -15°C, T; = +20°C, w =7 mm, and A = 0.8 m². (c) If there are about nw = 20 such windows in the house, and energy costs 10 cents (US) per kilowatt-hour (kWh), estimate the heating bill per month (in US dollars) just to offset losses through the windows? [And now you can see why double-paned windows, which are much more insulating, are normal in cold climates!]

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.
Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.12P
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I need help on this fourniers Law Problem. Assume it is winter and the thermal conductivity of glass k = 0.85 W/m K.

 

(a) Let's say that it is chilly To outside, and a much warmer T; inside. If we were to have a single-pane window
(which is made of a single piece of glass) with a thickness w and an area A, write an equation for (i) the flux
of heat Fh across the window; and (ii) the flow of heat Qh across the window. What are the units of F, and
Qn?
(b) Determine values for Fh and Qh assuming that To = -15°C, T¡ = +20°C, w = 7 mm, and A = 0.8 m2.
(c) If there are about nw
(kWh), estimate the heating bill per month (in US dollars) just to offset losses through the windows? [And
now you can see why double-paned windows, which are much more insulating, are normal in cold climates!]
20 such windows in the house, and energy costs 10 cents (US) per kilowatt-hour
Transcribed Image Text:(a) Let's say that it is chilly To outside, and a much warmer T; inside. If we were to have a single-pane window (which is made of a single piece of glass) with a thickness w and an area A, write an equation for (i) the flux of heat Fh across the window; and (ii) the flow of heat Qh across the window. What are the units of F, and Qn? (b) Determine values for Fh and Qh assuming that To = -15°C, T¡ = +20°C, w = 7 mm, and A = 0.8 m2. (c) If there are about nw (kWh), estimate the heating bill per month (in US dollars) just to offset losses through the windows? [And now you can see why double-paned windows, which are much more insulating, are normal in cold climates!] 20 such windows in the house, and energy costs 10 cents (US) per kilowatt-hour
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