An electric heater with a capacity P is usedto heat air in a spherical chamber. Theinside radius is r. outside radius r, andthe conductivity is k.surface heat is exchanged by convection.SurAt the insidekhThe inside heat transfer coefficient is h,.Heat loss from the outside surface is by+1radiation. The surroundings temperature is Tur and the surfaceemissivity is ɛ. Assuming one-dimensional steady state conduction,use a simplified radiation model to determine:[a] The temperature distribution in the spherical wall.[b] The inside air temperatures for the following conditions:h-6.5 W/m-"C, P-1, 500 W, &=0.81, T 18°C.%3Dsurk 2.4 W/m-°C.1=10 cm.1,= 14 cm.

Given data h = 6.5W/m2 C , P = 1, 500 W, e = 0.81,Tsur=18ck = 2.4W/moC,Ri = 10 cm, Ro= 14 cm. Given…

An electric heater with a capacity P is used to heat air in a spherical chamber. The inside radius is r. outside radius r, and the conductivity is k. At the inside surface heat is exchanged by convection. Sur kh, The inside heat transfer coefficient is h,. Heat loss from the outside surface is by radiation. The surroundings temperature is T and the surface emissivity is E. Assuming one-dimensional steady state conduction, use a simplified radiation model to determine: [a] The temperature distribution in the spherical wall. [b] The inside air temperatures for the following conditions: h-6.5 W/m-°C, P-1, 500 W, =0.81, T- 18°C. %3D sur k=2.4 W/m-C. r 10 cm, ,=14 cm. %3D

An electric heater with a capacity P is used to heat air in a spherical chamber. The inside radius is r. outside radius r, and the conductivity is k. At the inside surface heat is exchanged by convection. Sur kh, The inside heat transfer coefficient is h,. Heat loss from the outside surface is by radiation. The surroundings temperature is T and the surface emissivity is E. Assuming one-dimensional steady state conduction, use a simplified radiation model to determine: [a] The temperature distribution in the spherical wall. [b] The inside air temperatures for the following conditions: h-6.5 W/m-°C, P-1, 500 W, =0.81, T- 18°C. %3D sur k=2.4 W/m-C. r 10 cm, ,=14 cm. %3D

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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Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

An electric heater with a capacity P is used
to heat air in a spherical chamber. The
inside radius is r. outside radius r, and
the conductivity is k.
surface heat is exchanged by convection.
Sur
At the inside
kh
The inside heat transfer coefficient is h,.
Heat loss from the outside surface is by
+1
radiation. The surroundings temperature is Tur and the surface
emissivity is ɛ. Assuming one-dimensional steady state conduction,
use a simplified radiation model to determine:
[a] The temperature distribution in the spherical wall.
[b] The inside air temperatures for the following conditions:
h-6.5 W/m-"C, P-1, 500 W, &=0.81, T 18°C.
%3D
sur
k 2.4 W/m-°C.
1=10 cm.
1,= 14 cm.

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