a) Explain how Fourier's law of conduction (in one-dimensional cartesian system) can be applied to experimentally measure the thermal conductivity of solid materials. What are the necessary conditions and assumptions? b) Two surfaces make up an enclosure where surface 1 is flat and has area A₁, temperature T₁ and emissivity &. Surface 2 is black and has temperature T₂. Show that the net power transfer rate (net heat flux) in W/m² at surface 1 is given by &₁(T₁-T₂).

a) Explain how Fourier's law of conduction (in one-dimensional cartesian system) can be applied to experimentally measure the thermal conductivity of solid materials. What are the necessary conditions and assumptions? b) Two surfaces make up an enclosure where surface 1 is flat and has area A₁, temperature T₁ and emissivity &. Surface 2 is black and has temperature T₂. Show that the net power transfer rate (net heat flux) in W/m² at surface 1 is given by &₁(T₁-T₂).

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

I need help on these two questions a) and b):

a)
Explain how Fourier's law of conduction (in one-dimensional cartesian system) can
be applied to experimentally measure the thermal conductivity of solid materials.
What are the necessary conditions and assumptions?
b)
Two surfaces make up an enclosure where surface 1 is flat and has area A₁,
temperature T₁ and emissivity &₁. Surface 2 is black and has temperature T₂. Show
that the net power transfer rate (net heat flux) in W/m² at surface 1 is given by
&₁σ(T₁-T₂).

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