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Consider one-dimensional, steady-state conditions for the plane composite wall shown be- low. The left surface of wall A is well-insulated with a constant surface temperature of T₁ = 160°C. Heat is generated within wall A at a rate of 5,000 W/m³. The right surface of wall C is maintained at a temperature of T4 = 19°C due to environmental conditions. Assume negligible contact resistance between all interfaces. The thermal conductivity for each wall is listed be- low and the figure indicates the thickness of each wall. (60 points) (a) Find the temperature at interface between wall A and B (x = 20 mm). (b) Find the temperature at interface between wall B and C (x = 85 mm). (c) Sketch the temperature distribution as a function of x for the composite wall. (d) Sketch the heat flux as a function of x for the composite wall. KA = 0.11 W/m.K KB = 0.05 W/m.K kc 0.72 W/m.K T₁ ف A B TA 15 mm 65 mm 20 mm

Consider one-dimensional, steady-state conditions for the plane composite wall shown be- low. The left surface of wall A is well-insulated with a constant surface temperature of T₁ = 160°C. Heat is generated within wall A at a rate of 5,000 W/m³. The right surface of wall C is maintained at a temperature of T4 = 19°C due to environmental conditions. Assume negligible contact resistance between all interfaces. The thermal conductivity for each wall is listed be- low and the figure indicates the thickness of each wall. (60 points) (a) Find the temperature at interface between wall A and B (x = 20 mm). (b) Find the temperature at interface between wall B and C (x = 85 mm). (c) Sketch the temperature distribution as a function of x for the composite wall. (d) Sketch the heat flux as a function of x for the composite wall. KA = 0.11 W/m.K KB = 0.05 W/m.K kc 0.72 W/m.K T₁ ف A B TA 15 mm 65 mm 20 mm

Elements Of Electromagnetics
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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Consider one-dimensional, steady-state conditions for the plane composite wall shown be- low. The left surface of wall A is well-insulated with a constant surface temperature of T₁ = 160°C. Heat is generated within wall A at a rate of 5,000 W/m³. The right surface of wall C is maintained at a temperature of T4 = 19°C due to environmental conditions. Assume negligible contact resistance between all interfaces. The thermal conductivity for each wall is listed be- low and the figure indicates the thickness of each wall. (60 points) (a) Find the temperature at interface between wall A and B (x = 20 mm). (b) Find the temperature at interface between wall B and C (x = 85 mm). (c) Sketch the temperature distribution as a function of x for the composite wall. (d) Sketch the heat flux as a function of x for the composite wall. KA = 0.11 W/m.K KB = 0.05 W/m.K kc 0.72 W/m.K T₁ ف A B TA 15 mm 65 mm 20 mm
Transcribed Image Text:Consider one-dimensional, steady-state conditions for the plane composite wall shown be- low. The left surface of wall A is well-insulated with a constant surface temperature of T₁ = 160°C. Heat is generated within wall A at a rate of 5,000 W/m³. The right surface of wall C is maintained at a temperature of T4 = 19°C due to environmental conditions. Assume negligible contact resistance between all interfaces. The thermal conductivity for each wall is listed be- low and the figure indicates the thickness of each wall. (60 points) (a) Find the temperature at interface between wall A and B (x = 20 mm). (b) Find the temperature at interface between wall B and C (x = 85 mm). (c) Sketch the temperature distribution as a function of x for the composite wall. (d) Sketch the heat flux as a function of x for the composite wall. KA = 0.11 W/m.K KB = 0.05 W/m.K kc 0.72 W/m.K T₁ ف A B TA 15 mm 65 mm 20 mm
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