Q3: Consider a 20-cm-thick large concrete plane wall (k = 0.77 W/m °C) subjected to convection on both sides with Tel = 27°C and hi 5 W/m? °C on the inside, and T2 = %3D 8°C and h2 = 12 W/m2 °C on the outside. Assuming constant thermal conductivity with %3D no heat generation and negligible radiation, (a) express the differential equations and the boundary conditions for steady one-dimensional heat conduction through the wall, (b) obtain a relation for the variation of temperature in the wall by solving the differential equation, and (c) evaluate the temperatures at the inner and outer surfaces of the wall. (7)LP - dx Ans : (a) = h[T(L)-T2] (b) T(x) = 20-45.44x (c) 10.9°
Q3: Consider a 20-cm-thick large concrete plane wall (k = 0.77 W/m °C) subjected to convection on both sides with Tel = 27°C and hi 5 W/m? °C on the inside, and T2 = %3D 8°C and h2 = 12 W/m2 °C on the outside. Assuming constant thermal conductivity with %3D no heat generation and negligible radiation, (a) express the differential equations and the boundary conditions for steady one-dimensional heat conduction through the wall, (b) obtain a relation for the variation of temperature in the wall by solving the differential equation, and (c) evaluate the temperatures at the inner and outer surfaces of the wall. (7)LP - dx Ans : (a) = h[T(L)-T2] (b) T(x) = 20-45.44x (c) 10.9°
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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![Q3: Consider a 20-cm-thick large concrete plane wall (k = 0.77 W/m C) subjected to
convection on both sides with TI = 27°C and hi 5 W/m2 °C on the inside, and T2 =
8°C and h2 = 12 W/m2 °C on the outside. Assuming constant thermal conductivity with
no heat generation and negligible radiation, (a) express the differential equations and the
boundary conditions for steady one-dimensional heat conduction through the wall, (b)
obtain a relation for the variation of temperature in the wall by solving the differential
equation, and (c) evaluate the temperatures at the inner and outer surfaces of the wall.
Ans : (a)
dT (L)
= h[T(L)-T,2]
(b) T(x) = 20-45.44x
(c) 10.9°
-k
dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F542a5ef6-a334-4051-83d4-a1f955b0f71d%2F00aa4f76-6f3c-4b25-9a75-d755139bc497%2Fcl21sko_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q3: Consider a 20-cm-thick large concrete plane wall (k = 0.77 W/m C) subjected to
convection on both sides with TI = 27°C and hi 5 W/m2 °C on the inside, and T2 =
8°C and h2 = 12 W/m2 °C on the outside. Assuming constant thermal conductivity with
no heat generation and negligible radiation, (a) express the differential equations and the
boundary conditions for steady one-dimensional heat conduction through the wall, (b)
obtain a relation for the variation of temperature in the wall by solving the differential
equation, and (c) evaluate the temperatures at the inner and outer surfaces of the wall.
Ans : (a)
dT (L)
= h[T(L)-T,2]
(b) T(x) = 20-45.44x
(c) 10.9°
-k
dx
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