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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Q5A) Consider a composite spherical shell comprising an insulating layer of unknown thermal conductivity sandwiched between two layers of steel (k = 45 W/m. °C). The inner shell has 100 mm inner diameter and wall thickness of 5 mm. The outer shell has 150 mm inner diameter and wall thickness of 2 mm. The inner surface of inner spherical shell was experimentally found 120 °C while outer surface of outer spherical shell was at 67 °C. The ambient air was at 30 °C with heat-transfer coefficient at outer surface 6 W/m². °C. Determine thermal conductivity of insulating material. Then, experiment was repeated on another day when ambient air temperature was 13 °C. The inner surface temperature of inner shell and convection coefficient remained unchanged. Calculate temperature of outer surface of outer shell in this case.
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Q1/ Consider a large plane wall of thickness L=0.03 m. The wall surface at x =0 is insulated, while the surface at x =L is maintained at a temperature of 30°C. The thermal conductivity of the wall is k=25 W/m °C, and heat is generated in the wall at a rate of g = 9oe0.5x/L W/m³ Where g, = 8 x 10 W /m². Assuming steady one-dimensional heat transfer, (a) express the differential equation and the boundary conditions for heat conduction through the wall, (b) obtain a relation for the variation of temperature in the wall by solving the differential equation, and (c) determine the temperature of the insulated surface of the wall.
SOLVE SIMPLY SO I CAN UNDERSTAND :)FINAL ANSWERS MUST BE ROUND TO 4 DECIMAL PLACES AND BOXED!
Q.3) The two sides of a large plan wall are maintained at constant temperatures of T₁ = 120°C and T₂ = 50°C, respectively. If you know that the wall thickness L= 0.2 m, thermal conductivity k = 1.2 W/m.K, and surface area A = 15 m². Determine (a) the variation of temperature within the wall and the value of temperature at x = 0.1 m and (b) the rate of heat conduction through the wall under steady conditions.
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Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal conductivity k = 40 W/m-K and a thickness L = 0.3 m, with no internal heat generation. -T2 L Determine the heat flux, in kW/m², and the unknown quantity for each case. Case T1(°C) T2(°C) dT/dx(K/m) q (kW/m?) 1 50 -20 i i 2 -30 -10 i i 3 70 i 160 i 4 i 40 -80 i 5 i 30 200 i
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