A leading manufacturer of household appliances is proposing a self-cleaning oven design that involves use of a composite window separating the oven cavity from the room air (Figure 2a). The composite is to consist of two high-temperature plastics (A and B) of thicknesses LA = 2LB and thermal conductivities kA = 0.15 W/m K and kB = 0.08 W/m K. During the self-cleaning process, the oven wall and air temperatures, Tw and Ta, are 400°C, while the room air temperature T is 25°C. The inside convection and radiation heat transfer coefficients h; and h,, as well as the outside convection coefficient ho, are each approximately 25 W/m2.K. What is the minimum window thickness, L = LA + LB, needed to ensure a temperature that is 50°C or less at the outer surface of the window? This temperature must not be exceeded for safety reasons.
A leading manufacturer of household appliances is proposing a self-cleaning oven design that involves use of a composite window separating the oven cavity from the room air (Figure 2a). The composite is to consist of two high-temperature plastics (A and B) of thicknesses LA = 2LB and thermal conductivities kA = 0.15 W/m K and kB = 0.08 W/m K. During the self-cleaning process, the oven wall and air temperatures, Tw and Ta, are 400°C, while the room air temperature T is 25°C. The inside convection and radiation heat transfer coefficients h; and h,, as well as the outside convection coefficient ho, are each approximately 25 W/m2.K. What is the minimum window thickness, L = LA + LB, needed to ensure a temperature that is 50°C or less at the outer surface of the window? This temperature must not be exceeded for safety reasons.
Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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
Transcribed Image Text:Composite
window,
LA = 2LB
LA
%3D
Oven
cavity
T.250 °C
5,0
T = 400 °C
h, = 25 W/m2-K
Air
B, kg
A, KA
= 0.08 W/m-K
= 0.15 W/m-K
11
T= 400 °C
h; = 25 W/m2-K
Air
T = 25 °C
h, = 25 W/m2-K
Figure 2a

Transcribed Image Text:Q2 a) A leading manufacturer of household appliances is proposing a self-cleaning oven
design that involves use of a composite window separating the oven cavity from the
room air (Figure 2a). The composite is to consist of two high-temperature plastics
(A and B) of thicknesses LA = 2LB and thermal conductivities kA = 0.15 W/m K and
kB = 0.08 W/m K. During the self-cleaning process, the oven wall and air
temperatures, Tw and Ta, are 400°C, while the room air temperature T is 25°C. The
inside convection and radiation heat transfer coefficients h and hr, as well as the
outside convection coefficient ho, are each approximately 25 W/m2.K. What is the
minimum window thickness, L = LA + LB, needed to ensure a temperature that is
50°C or less at the outer surface of the window? This temperature must not be
exceeded for safety reasons.
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