The Configuration Factors between Ring Shape Finite Areas in Cylinders and Cones

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The Configuration Factors between Ring Shape
Finite Areas in Cylinders and Cones

• Cosmin DAN, Gilbert DE MEY

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Overview

• Introduction
• Description of the problem
• The method using disk-to-disk configuration
  factor
• The method using the configuration factor formula
  for differential ring elements
• Validation and Results
• Conclusions

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• Introduction
• Radiative heat transfer phenomena
• The configuration factor (view factor)
• The fraction of the uniform radiation leaving one
  surface that directly reaches the other surface
• Solutions for the configuration factor
  calculation
• Tabular formulas for simple geometries
• Configuration factors algebra
• Integration over a solid angle (numerical
  calculation)

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• Description of the problem
• The boundary integral equation

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• Description of the problem

• The method using disk-to-disk configuration
  factor
• The method using the configuration factor formula
  for differential ring elements

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• The method using disk-to-disk configuration factor

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• The method using the configuration factor formula
  for differential ring elements

where

• cylinder divided
• integrated numerically

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Validation and Results

• N190 finite area elements
• K20 differential elements
• ratio length diameter 4

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Validation and Results

• N190 finite area elements
• K20 differential elements
• ratio length diameter 4

• N190 finite area elements
• K20 differential elements
• ratio length diameter 10

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Validation and Results

• N190 finite area elements
• K20 differential elements
• ratio length diameter 10

• N190 finite area elements
• K20 differential elements
• ratio length diameter 10

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Validation and Results
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Validation and Results
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Validation and Results
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Conclusions

• Two C source codes were written for the
  computation of the configuration factors
• Disk-to-disk method use for any simple concave
  rotation body
• Disk-to-disk method validated using numerical
  computation
• A very good agreement was found between the
  solutions for the studied cases
• The matrix of the configuration factor is compete
  determined and can be used further for the
  computation of the radiative heat flux inside the
  cavities

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Thank You!