Radiative heat transfer in curved specular surfaces in czochralski crystal growth furnace

Zhixiong Guo, Shigenao Maruyama, Takao Tsukada

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

A numerical investigation of radiative heat transfer constructed by curved surfaces with specular and diffuse reflection components is carried out. The ray tracing method is adopted for the calculation of view factors, in which a new ray emission model is proposed. The second-degree radiation ring elements are introduced, which are of engineering importance and numerical efficiency. The accuracy of the method is analyzed and verified using a simple configuration. The present computation using the proposed ray emission model is in good agreement with the analytical solution. As a numerical example and engineering application, the effects of the specular reflection and the meniscus of the melt surface in Czochralski (CZ) crystal growth are investigated. A marked temperature decrease in the melt surface is found by introducing specular reflection and the meniscus. The combined effects of the specular reflection and the meniscus should be considered in precision heat transfer control of a CZ apparatus.

Original languageEnglish
Pages (from-to)595-611
Number of pages17
JournalNumerical Heat Transfer; Part A: Applications
Volume32
Issue number6
DOIs
Publication statusPublished - 1997 Nov

ASJC Scopus subject areas

  • Numerical Analysis
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Radiative heat transfer in curved specular surfaces in czochralski crystal growth furnace'. Together they form a unique fingerprint.

  • Cite this