Infinite Reflections Method for Calculation of Radiation Exchange between Grey-Diffuse Surfaces UP to four surface interactions Part 1

Bouchair A

Article Details

Infinite Reflections Method for Calculation of Radiation Exchange between Grey-Diffuse Surfaces UP to four surface interactions Part 1

Authors:

Bouchair A

Publisher:

Centre de Développement des énergies renouvelables

Journal:

Rеvuе des Energies Renouvelables Vol.7 Issue 1, pp.53-71

Document Type:

Article

Publication Date:

6/2004

Document Language:

English

Document ID (Org No.):

2001550224

pISSN:

2716-8247

Keywords:

Multiple reflections of radiation – Radiant heat transfer – Grey-diffuse surfaces – Low emissivity – Arborescent diagrams – infinite series – Four planar surfaces interaction

Abstract:

 Unlike black surfaces, calculation of radiation exchange for grey-diffuse surfaces is
generally considered too complex. This is because a grey surface is not a perfect absorber as for a
black surface. As radiation leaves a surface, it travels to the other surfaces whereby it is absorbed
partially and is then reflected many times in between with partial absorption at each contact with a
surface. Therefore, a proper analysis of the problem must take into account of these multiple
reflections. The existing methods of analysis can be classified into two categories; those which do not
take into account of the multiple reflections for more than two surfaces, and those which account for
these multiple reflections but they are only applicable for enclosures and are not fully reliable in
implementation. This first part of the paper presents a method of analysis for the exact calculation of
radiant heat transfer between two grey-diffuse surfaces due to the interaction of up to four surfaces
whereby multiple reflections of radiation are accounted for. This is based upon two concepts; the
arborescent diagrams and the infinite series algebra. Complementary work for the understanding of
this part is presented in the second part of the paper.

Article Details

Infinite Reflections Method for Calculation of Radiation Exchange between Grey-Diffuse Surfaces UP to four surface interactions Part 1

Authors: Bouchair A

Publisher: Centre de Développement des énergies renouvelables

Journal: Rеvuе des Energies Renouvelables Vol.7 Issue 1, pp.53-71

Document Type: Article

Publication Date: 6/2004

Document Language: English

Document ID (Org No.): 2001550224

pISSN: 2716-8247

Multiple reflections of radiation – Radiant heat transfer – Grey-diffuse surfaces – Low emissivity – Arborescent diagrams – infinite series – Four planar surfaces interaction

Issues

Authors:

Bouchair A

Publisher:

Centre de Développement des énergies renouvelables

Journal:

Rеvuе des Energies Renouvelables Vol.7 Issue 1, pp.53-71

Document Type:

Article

Publication Date:

6/2004

Document Language:

English

Document ID (Org No.):

2001550224

pISSN:

2716-8247