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Optimization of Production Process of a Semitransparent Layer Containing Foam by Considering Radiation and Using Finite Difference Method

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Abstract

Regarding the importance of radiation in contemporary technology of the world, this paper presents a finite difference solution for geometric optimization of a radiative enclosure. In this regard, produced foams during glass melting process are one of the important factors for optimization of melting process and final product quality. On one hand, these foam causes prevention of some part of radiation energy from combustion to glass melt and also leads to increase in fuel and decrease in furnace output. On the other hand, they put high damages to final glass products. For designing a radiant enclosure, the radiative two-flux equation is coupled with the transient energy equation and radiation transfer equation (RTE).

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Abbreviations

i :

intensity radiation

k :

thermal conductivity

l :

foam layer thickness

n :

refractive index

p :

pressure

\(\dot{Q}\) :

Internal heat generation

F d :

fraction of forward scattered radiation

q :

heat flux

T :

temperature

t :

time

x :

coordinate in direction perpendicular to foam layer

K:

extinction coefficient

ɛ:

emissivity

a :

absorption coefficient

σ:

scattering coefficient

ρ:

density

μ:

cosine of angle between path s and direction x

Φ:

viscous dissipation function

λ:

wavelength

κ:

optical thickness

b :

refers to black body

c :

refers to conduction

l :

refers to liquid phase

r :

refers to radiation

+:

refers to forward hemisphere

 − :

refers to backward hemisphere

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Authors and Affiliations

  1. K.N.T. University of Technology, No.16, Adl Alley, Foroud Alley, Farid Alley, 5th Golestan St., Pasdaran St., Tehran, Iran

    C. Aghanajafi & B. Safavisohi

Authors
  1. C. Aghanajafi
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  2. B. Safavisohi
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Correspondence to B. Safavisohi.

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Aghanajafi, C., Safavisohi, B. Optimization of Production Process of a Semitransparent Layer Containing Foam by Considering Radiation and Using Finite Difference Method. J Fusion Energ 25, 213–217 (2006). https://doi.org/10.1007/s10894-006-9016-7

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  • DOI: https://doi.org/10.1007/s10894-006-9016-7

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