In a manufacturing process, a transparent film is being bonded to a substrate as shown in the sketch. To cure the bond at a temperature To, a radiant source is used to provide a heat flux qő (W/m²) , all of which is absorbed at the bonded surface. The back of the substrate is maintained at T₁ while the free surface of the film is exposed to air at I and a convection heat transfer coefficient h. Air To h ↓ Lf Film Substrate 90 Ly= 0.25 mm k= 0.025 W/m-K L = 1.0 mm Bond, To k, = 0.05 W/m-K T₁ (a) Show the thermal circuit representing the steady-state heat transfer situation. Be sure to label all elements, nodes, and heat rates. Leave in symbolic form. (b) Assume the following conditions: T = 20°C, h = 50 W/m² K, and T₁ = 30°C. Calculate the heat flux d that is required to maintain the bonded surface at To = 60°C.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter11: Heat Transfer By Radiation
Section: Chapter Questions
Problem 11.45P
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In a manufacturing process, a transparent film is being bonded to a substrate as shown in the sketch. To cure the bond at a temperature To, a radiant source is used to provide a heat flux qő (W/m²)
all of which is absorbed at the bonded surface. The back of the substrate is maintained at T₁ while the free surface of the film is exposed to air at T and a convection heat transfer coefficient h.
Air
Too, h
Ls
Film
Substrate
90⁰
L₁= 0.25 mm
kf= 0.025 W/m-K
L₁ = 1.0 mm
Bond, To k = 0.05 W/m.K
T₁
(a) Show the thermal circuit representing the steady-state heat transfer situation. Be sure to label all elements, nodes, and heat rates. Leave in symbolic form.
.
(b) Assume the following conditions: T = 20°C, h = 50 W/m² K, and T₁ = 30°C. Calculate the heat flux d that is required to maintain the bonded surface at To = 60°C.
00
Transcribed Image Text:In a manufacturing process, a transparent film is being bonded to a substrate as shown in the sketch. To cure the bond at a temperature To, a radiant source is used to provide a heat flux qő (W/m²) all of which is absorbed at the bonded surface. The back of the substrate is maintained at T₁ while the free surface of the film is exposed to air at T and a convection heat transfer coefficient h. Air Too, h Ls Film Substrate 90⁰ L₁= 0.25 mm kf= 0.025 W/m-K L₁ = 1.0 mm Bond, To k = 0.05 W/m.K T₁ (a) Show the thermal circuit representing the steady-state heat transfer situation. Be sure to label all elements, nodes, and heat rates. Leave in symbolic form. . (b) Assume the following conditions: T = 20°C, h = 50 W/m² K, and T₁ = 30°C. Calculate the heat flux d that is required to maintain the bonded surface at To = 60°C. 00
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