One side (the hot side facing the room) of the radiator plate is maintained at a temperature of 80°C, the other sides are assumed to be insulated, as shown in Figure 1. If the following assumptions can be made: 1) steady operating conditions exist; 2) the air is an ideal gas; 3) the local" atmospheric pressure is 1.00 atm: (a) Briefly and qualitatively analyze the four different locations for the radiators marked A), B), C) and D), as shown in Figure 1, and rank them in terms of heat transfer efficiency by natural convection. (b) Determine the rate of heat transfer from the radiator plate by natural convection if the plate is A) vertical and C) horizontal with the hot surface facing down. Compare the two and provide a brief discussion of the findings. Nu-0.59Ral Nu-0.1 Ra 0.387Ral Nu- - {0.825 + 11 + (0.492/Pr) 14:27) (complex but more accurate) Use vertical plate equations for the upper surface of a cold plate and the lower surface of a hot plate Replace g by g cose Nu-0.54Ra Nu-0.15Ra Nu-0.27Ra for Ra < 10º

One side (the hot side facing the room) of the radiator plate is maintained at a temperature of 80°C, the other sides are assumed to be insulated, as shown in Figure 1. If the following assumptions can be made: 1) steady operating conditions exist; 2) the air is an ideal gas; 3) the local" atmospheric pressure is 1.00 atm: (a) Briefly and qualitatively analyze the four different locations for the radiators marked A), B), C) and D), as shown in Figure 1, and rank them in terms of heat transfer efficiency by natural convection. (b) Determine the rate of heat transfer from the radiator plate by natural convection if the plate is A) vertical and C) horizontal with the hot surface facing down. Compare the two and provide a brief discussion of the findings. Nu-0.59Ral Nu-0.1 Ra 0.387Ral Nu- - {0.825 + 11 + (0.492/Pr) 14:27) (complex but more accurate) Use vertical plate equations for the upper surface of a cold plate and the lower surface of a hot plate Replace g by g cose Nu-0.54Ra Nu-0.15Ra Nu-0.27Ra for Ra < 10º

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

Mechanisms of heat transfer

Heat transfer is an essential discipline in thermal engineering that deals with the transfer, conversion, usability, and creation of heat or thermal energy. Transfer of heat occurs through various mechanisms like conduction, convection, radiation, and change of phases. All these mechanisms have distinct characteristics, but these mechanisms can simultaneously occur in an identical system.

Question

A radiator plate of 0.2-m (wide) x 0.4-m (height) is in a room of 22°C.
One side (the hot side facing the room) of the radiator plate is maintained
at a temperature of 80°C, the other sides are assumed to be insulated, as
shown in Figure 1. If the following assumptions can be made: 1) steady
operating conditions exist; 2) the air an ideal gas; 3) the local'
atmospheric pressure is 1.00 atm:
(a) Briefly and qualitatively analyze the four different
locations for the radiators marked A), B), C) and D), as
shown in Figure 1, and rank them in terms of heat
transfer efficiency by natural convection.
(b) Determine the rate of heat transfer from the radiator
plate by natural convection if the plate is A) vertical and
C) horizontal with the hot surface facing down. Compare
the two and provide a brief discussion of the findings.
wall
A
0.4 mi
C
0.4 m
0.4 m
B
floor
ceiling
0.4 m
wall
Nu
Nu=0.59Ra
Nu-0.1 Raa
0.387Ral
Nu-
- {0.825 + 11 + (0.492/Pr)162)
(complex but more accurate)
Use vertical plate equations for the upper
surface of a cold plate and the lower
surface of a hot plate
Replace g by g cose
Nu-0.54Ra
Nu-0.15Ra
Nu = 0.27Ral
for
Ra < 10⁹

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