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Consider a rectangular metal block (k = 35 W/m-K) of dimensions 100 cm x 75 cm subjected to a sinusoidal temperature variation at its top surface while its bottom surface is insulated. The two sides of the metal block are exposed to a convective environment at 15°C and having a heat transfer coefficient of 50 W/m²K. The sinusoidal temperature distribution at the top surface is given as 100 sin(xx/L). Using a uniform mesh size of Ax = Ay = 25 cm determine (a) finite difference equations and (b) the nodal temperatures (5th Ed, prob. 5.63). 100sin(x/L) °C h=50 W/m²K h = 50 W/m²K T = 15°C 6 7 8 9 10 T = 15°C 11 12 13 14 15 Insulation Х

Consider a rectangular metal block (k = 35 W/m-K) of dimensions 100 cm x 75 cm subjected to a sinusoidal temperature variation at its top surface while its bottom surface is insulated. The two sides of the metal block are exposed to a convective environment at 15°C and having a heat transfer coefficient of 50 W/m²K. The sinusoidal temperature distribution at the top surface is given as 100 sin(xx/L). Using a uniform mesh size of Ax = Ay = 25 cm determine (a) finite difference equations and (b) the nodal temperatures (5th Ed, prob. 5.63). 100sin(x/L) °C h=50 W/m²K h = 50 W/m²K T = 15°C 6 7 8 9 10 T = 15°C 11 12 13 14 15 Insulation Х

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 rectangular metal block (k = 35 W/m-K) of dimensions 100 cm x 75 cm subjected to a sinusoidal temperature variation at its top surface while its bottom surface is insulated. The two sides of the metal block are exposed to a convective environment at 15°C and having a heat transfer coefficient of 50 W/m²K. The sinusoidal temperature distribution at the top surface is given as 100 sin(xx/L). Using a uniform mesh size of Ax = Ay = 25 cm determine (a) finite difference equations and (b) the nodal temperatures (5th Ed, prob. 5.63). 100sin(x/L) °C h=50 W/m²K h = 50 W/m²K T = 15°C 6 7 8 9 10 T = 15°C 11 12 13 14 15 Insulation Х
Transcribed Image Text:Consider a rectangular metal block (k = 35 W/m-K) of dimensions 100 cm x 75 cm subjected to a sinusoidal temperature variation at its top surface while its bottom surface is insulated. The two sides of the metal block are exposed to a convective environment at 15°C and having a heat transfer coefficient of 50 W/m²K. The sinusoidal temperature distribution at the top surface is given as 100 sin(xx/L). Using a uniform mesh size of Ax = Ay = 25 cm determine (a) finite difference equations and (b) the nodal temperatures (5th Ed, prob. 5.63). 100sin(x/L) °C h=50 W/m²K h = 50 W/m²K T = 15°C 6 7 8 9 10 T = 15°C 11 12 13 14 15 Insulation Х
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