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The temperature distribution across a wall 1m thick at a certain instant of time is given as T(x) = a + bx + cx² where T is in degrees Celsius and x is in meters, while a = 900°C, b = -300°C/m, and = -50°C/m². A uniform heat generation, ġ = 1000 W/m³, is present in the wall of area Om² having the properties p= 1600 kg/m’, k = 40 W/m•K, and c, = 4 kJ/kg•K. %3D %3D %3D %3D %3D Delemine the rate o heat tansler enterig he wall (x= ) and leavin the wall (x= m). %3D

The temperature distribution across a wall 1m thick at a certain instant of time is given as T(x) = a + bx + cx² where T is in degrees Celsius and x is in meters, while a = 900°C, b = -300°C/m, and = -50°C/m². A uniform heat generation, ġ = 1000 W/m³, is present in the wall of area Om² having the properties p= 1600 kg/m’, k = 40 W/m•K, and c, = 4 kJ/kg•K. %3D %3D %3D %3D %3D Delemine the rate o heat tansler enterig he wall (x= ) and leavin the wall (x= m). %3D

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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EXAMPLE 2.3 A = 10 m2 -q= 1000 Wm k= 40 W/mk p= 1600 kg/m The temperature distribution across a wall 1m thick at a certain instant of time is given as Tu) = a+ bx+ c- T(x) = a + bx + cr² where T is in degrees Celsius and x is in meters, while a = 900°C, b = -300°C/m, and c= -50°C/m². A uniform heat generation, ġ = 1000 W/m’, is present in the wall of area 10m² having the properties p = 1600 kg/m’, k = 40 W/m • K, and c, = 4 kJ/kg-K. %3D L=1m- %3D 1. Detemine the rate o heat cansler enterig the wall (x=0) and leaing he wl ( = Im). %3D %3D 2. Determine the rate of change of energy storage in the wall. 3. Detemine the lime rate of tmperature change at x = 0,025 ad 05m. AS 1x 56:43
Transcribed Image Text:EXAMPLE 2.3 A = 10 m2 -q= 1000 Wm k= 40 W/mk p= 1600 kg/m The temperature distribution across a wall 1m thick at a certain instant of time is given as Tu) = a+ bx+ c- T(x) = a + bx + cr² where T is in degrees Celsius and x is in meters, while a = 900°C, b = -300°C/m, and c= -50°C/m². A uniform heat generation, ġ = 1000 W/m’, is present in the wall of area 10m² having the properties p = 1600 kg/m’, k = 40 W/m • K, and c, = 4 kJ/kg-K. %3D L=1m- %3D 1. Detemine the rate o heat cansler enterig the wall (x=0) and leaing he wl ( = Im). %3D %3D 2. Determine the rate of change of energy storage in the wall. 3. Detemine the lime rate of tmperature change at x = 0,025 ad 05m. AS 1x 56:43
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