Most
radiation analyses currently performed assume that grey conditions
hold. That is, over the range of temperatures considered, optical
properties have a nearly constant value with respect to wavelength.
This reasonable approximation for systems that are near room
temperature may show significant error at temperature extremes,
particulary at cryogenic temperatures. Non-conductive materials
typically show a drop in emissivity/absorptivity and conductive
materials may also show a further complication of temperature
dependence on optical values at a particular wavelength. Other
areas where non-grey analysis may be appropriate is in furnace
and lamp design, and in systems with specialized optical filters
such as thermalphotovoltaics.
Often
it is assumed that using total emissivity as a function of temperature
will be sufficient to capture wavelength dependent optical behavior.
This is only true in very limited cases. One such case is a system
without any radiation exchange, for example a surface radiating
to space with an effective temperature near 0 K. Another limited
case is a system with one optical material that uniformly changes
in temperature, that is, temperatures of the entire system uniformly
rise or fall in close unison, such that at any point in time,
greyness still holds. However, in cases where large temperature
differences exist, such as a cold surface radiatively exchanging
energy with a much warmer surface, a non-grey approach must be
used. Using total emissivity as a function of temperature for
systems that exchange radiation often leads to errors worse than
assuming average grey behavior.
This
short course presents the methodology and approach for performing
a banded non-grey radiation analysis. Comparison results between
grey and non-grey analyses are presented for several example
problems. Limitations of current approaches for approximating
non-grey radiation, such as approximating with temperature dependent
total emssivity, are also reviewed. The class focus is not on
software usage so much as on understanding the basic phenomena.
Nonetheless, the types of phenomena that can be modeled and the
magnitude of uncertainties involved will be noted, and demonstration
models and results will be presented.
Prerequisites:Basic
understanding of radiation analysis and methods.
Class
Duration: 45
Minutes
This
class will be limited in size so please register early. You will
receive an email notification of your registration with instructions
on how to log into the meeting. To participate in this class
you will be logging into a web site and will need make a long
distance phone call for voice conferencing. To participate in
the demo your machine's internet browser must be Java enabled.
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