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The figure shows the cross-section of a small brick furnace, the inside wall of which is subjected to a temperature of 1200 °C while the outer wall is cooled by convection (h = 10 W/m?.K). Ambient temperature is 20 °C while the thermal conductivity of the furnace brick is 0.7 W/m.K. Ignoring the variation of temperature with depth and using the finite difference method: (a) Develop the nodal network by using 4x = 4x = 70 mm. [Hint: Take advantage of symmetry.] (b) Develop finite-difference equations for all the nodes. Ambient air: 20 °C, 10 W/m².K 1200 °C 400 mm ww 004

The figure shows the cross-section of a small brick furnace, the inside wall of which is subjected to a temperature of 1200 °C while the outer wall is cooled by convection (h = 10 W/m?.K). Ambient temperature is 20 °C while the thermal conductivity of the furnace brick is 0.7 W/m.K. Ignoring the variation of temperature with depth and using the finite difference method: (a) Develop the nodal network by using 4x = 4x = 70 mm. [Hint: Take advantage of symmetry.] (b) Develop finite-difference equations for all the nodes. Ambient air: 20 °C, 10 W/m².K 1200 °C 400 mm ww 004

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The figure shows the cross-section of a small brick furnace, the inside wall of which is subjected to a temperature of 1200 °C while the outer wall is cooled by convection (h = 10 W/m? K). Ambient temperature is 20 °C while the thermal conductivity of the furnace brick is 0.7 W/m.K. Ignoring the variation of temperature with depth and using the finite difference method: (a) Develop the nodal network by using 4x = 4x = 70 mm. [Hint: Take advantage of symmetry.] (b) Develop finite-difference equations for all the nodes. Ambient air: 20 C, 10 W/m?.K 1200 °C 400 mm 700 mm
Transcribed Image Text:The figure shows the cross-section of a small brick furnace, the inside wall of which is subjected to a temperature of 1200 °C while the outer wall is cooled by convection (h = 10 W/m? K). Ambient temperature is 20 °C while the thermal conductivity of the furnace brick is 0.7 W/m.K. Ignoring the variation of temperature with depth and using the finite difference method: (a) Develop the nodal network by using 4x = 4x = 70 mm. [Hint: Take advantage of symmetry.] (b) Develop finite-difference equations for all the nodes. Ambient air: 20 C, 10 W/m?.K 1200 °C 400 mm 700 mm
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