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Radiation from an infinite plane to parallel rows of infinitely long tubes - hottel extended

A two-dimensional model for predicting the rate of radiation
heat transfer for the interior of an industrial furnace is described.
The model is two-dimensional due to the assumptions of the heat
source as an infinite radiating plane and the heat sink as rows of
parallel tubes that are both infinite in length and in number. A
refractory back wall, located behind the tube rows, is also included
in some of the model configurations.
The optical properties for the heat source, heat sink, and
refractory back wall are simplified by assuming the "black-body"
case: all are treated as perfect absorbers and emitters of radiation.
This assumption allows three different solution techniques-a
graphical, crossed-string, and numerical method-to be used in
solving for the radiant transfer rate. The numerical method, an
innovative Monte Carlo technique, is the one employed in this study.
Hottel used a graphical technique to solve the furnace model
for a two row configuration in which the tubes are arranged on
equilateral triangular centers. His results, along with those
produced by the crossed-string method, are used in this work to
validate the numerical technique. Having been validated, the
numerical method was then employed to extend Hottel's work by
adding more tube rows to the original equilateral triangular
configuration and by generalizing the results to isosceles
arrangements.
Findings of this investigation are summarized in a table that
lists the direct view factors for a ten tube row configuration
arranged in an equilateral triangular array. Values from this table
can be used to solve the transfer rate problem for twenty different
cases by assuming a nonconducting refractory back wall. Results for
twelve cases are represented graphically in this document The
results are used to demonstrate the importance of a refractory back
wall on overall radiation absorption. Examinations of the two row
and five row cases for an isosceles triangular array indicate that
the tabular values can be applied to any isosceles arrangement if the
ratio of row separation distance to tube center-to-center distance
is 0.7 or greater. / Graduation date: 1995

Identiferoai:union.ndltd.org:ORGSU/oai:ir.library.oregonstate.edu:1957/35314
Date10 May 1994
CreatorsQualey, Douglas L.
ContributorsWelty, James R.
Source SetsOregon State University
Languageen_US
Detected LanguageEnglish
TypeThesis/Dissertation

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