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Consider a 1-D steady state heat conduction in a composite wall made up of two different materials A (k = 45 W/m K) and B (k = 28 W/m K). There is a W/m.K). heating element passing through the material A that causes uniform heat generation at a rate of 70,000 W/m³. The total thickness of the wall is 20 cm with equal thickness of material A and material B. Using a uniform nodal spacing of 2.5 cm, (a) obtain a finite difference formulation for the case of constant uniform heat flux of 4500 W/m² at the wall inner (left) surface while the outer (right) surface is exposed to combined radiation (ε = 0.9) and convection boundary condition (h = 70 W/m²K). Assume the surrounding temperature equal to that of the ambient temperature at 10°C and determine (b) the temperature distribution across the wall thickness using boundary conditions in part (a) (5th Ed, prob. 5.35).

Consider a 1-D steady state heat conduction in a composite wall made up of two different materials A (k = 45 W/m K) and B (k = 28 W/m K). There is a W/m.K). heating element passing through the material A that causes uniform heat generation at a rate of 70,000 W/m³. The total thickness of the wall is 20 cm with equal thickness of material A and material B. Using a uniform nodal spacing of 2.5 cm, (a) obtain a finite difference formulation for the case of constant uniform heat flux of 4500 W/m² at the wall inner (left) surface while the outer (right) surface is exposed to combined radiation (ε = 0.9) and convection boundary condition (h = 70 W/m²K). Assume the surrounding temperature equal to that of the ambient temperature at 10°C and determine (b) the temperature distribution across the wall thickness using boundary conditions in part (a) (5th Ed, prob. 5.35).

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 a 1-D steady state heat conduction in a composite wall made up of two different materials A (k = 45 W/m K) and B (k = 28 W/m K). There is a W/m.K). heating element passing through the material A that causes uniform heat generation at a rate of 70,000 W/m³. The total thickness of the wall is 20 cm with equal thickness of material A and material B. Using a uniform nodal spacing of 2.5 cm, (a) obtain a finite difference formulation for the case of constant uniform heat flux of 4500 W/m² at the wall inner (left) surface while the outer (right) surface is exposed to combined radiation (ε = 0.9) and convection boundary condition (h = 70 W/m²K). Assume the surrounding temperature equal to that of the ambient temperature at 10°C and determine (b) the temperature distribution across the wall thickness using boundary conditions in part (a) (5th Ed, prob. 5.35).
Transcribed Image Text:Consider a 1-D steady state heat conduction in a composite wall made up of two different materials A (k = 45 W/m K) and B (k = 28 W/m K). There is a W/m.K). heating element passing through the material A that causes uniform heat generation at a rate of 70,000 W/m³. The total thickness of the wall is 20 cm with equal thickness of material A and material B. Using a uniform nodal spacing of 2.5 cm, (a) obtain a finite difference formulation for the case of constant uniform heat flux of 4500 W/m² at the wall inner (left) surface while the outer (right) surface is exposed to combined radiation (ε = 0.9) and convection boundary condition (h = 70 W/m²K). Assume the surrounding temperature equal to that of the ambient temperature at 10°C and determine (b) the temperature distribution across the wall thickness using boundary conditions in part (a) (5th Ed, prob. 5.35).
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