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Consider a room of dimensions (3 x 3 x 2.7 m) that is exposed to the outdoors on one side only. The external wall (e, = 15 cm, pe = 2400kg/m³, k = 1.3 W /m - K) is subjected to solar radiation flux of 800 W/m and a convective heat flux with the ambient air at 36 °C with a transfer coefficient of 10 W/m²-K. The inner side of the extemal wall is exposed to the room air to which heat is transferred by convection with a coefficient of 7.5 W/m²-K. The room is supplied by an airstream of air at 15 °C and flowrate of 0.05 kg/s. Using the nodal method (take 5 nodes), write the necessary equations and assemble the matrix (without solving it) needed to determine the temperature distribution inside the external wall, assuming that the other walls of the room are adiabatic. m = 0.05 kg/s T = 15°C Solar radiation S = 800 W/m? h = 10 W/m?. T= 36 °C h= 7.5 W /m2 K T Tin m = 0.05 kg/s T= Tin

Consider a room of dimensions (3 x 3 x 2.7 m) that is exposed to the outdoors on one side only. The external wall (e, = 15 cm, pe = 2400kg/m³, k = 1.3 W /m - K) is subjected to solar radiation flux of 800 W/m and a convective heat flux with the ambient air at 36 °C with a transfer coefficient of 10 W/m²-K. The inner side of the extemal wall is exposed to the room air to which heat is transferred by convection with a coefficient of 7.5 W/m²-K. The room is supplied by an airstream of air at 15 °C and flowrate of 0.05 kg/s. Using the nodal method (take 5 nodes), write the necessary equations and assemble the matrix (without solving it) needed to determine the temperature distribution inside the external wall, assuming that the other walls of the room are adiabatic. m = 0.05 kg/s T = 15°C Solar radiation S = 800 W/m? h = 10 W/m?. T= 36 °C h= 7.5 W /m2 K T Tin m = 0.05 kg/s T= Tin

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 room of dimensions (3 x 3 x 2.7 m) that is exposed to the outdoors on one side only. The external wall (e, = 15 cm, pc = 2400kg/m³, ke = 1.3 W/m - K) is subjected to solar radiation flux of 800 W/m and a convective heat flux with the ambient air at 36 °C with a transfer coefficient of 10 W/m-K. The inner side of the external wall is exposed to the room air to which heat is transferred by convection with a coefficient of 7.5 W/m²-K. The room is supplied by an airstream of air at 15 °C and flowrate of 0.05 kg/s. Using the nodal method (take 5 nodes), write the necessary equations and assemble the matrix (without solving it) needed to determine the temperature distribution inside the external wall, assuming that the other walls of the room are adiabatic. rh = 0.05 kg/s T = 15°C Solar radiation S = 800 W /m? h= 10 W /m2. T= 36 °C h= 7.5 W /m - K T Tin m = 0.05 kg/s T= Tin
Transcribed Image Text:Consider a room of dimensions (3 x 3 x 2.7 m) that is exposed to the outdoors on one side only. The external wall (e, = 15 cm, pc = 2400kg/m³, ke = 1.3 W/m - K) is subjected to solar radiation flux of 800 W/m and a convective heat flux with the ambient air at 36 °C with a transfer coefficient of 10 W/m-K. The inner side of the external wall is exposed to the room air to which heat is transferred by convection with a coefficient of 7.5 W/m²-K. The room is supplied by an airstream of air at 15 °C and flowrate of 0.05 kg/s. Using the nodal method (take 5 nodes), write the necessary equations and assemble the matrix (without solving it) needed to determine the temperature distribution inside the external wall, assuming that the other walls of the room are adiabatic. rh = 0.05 kg/s T = 15°C Solar radiation S = 800 W /m? h= 10 W /m2. T= 36 °C h= 7.5 W /m - K T Tin m = 0.05 kg/s T= Tin
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