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Title: Primary and secondary instabilities in a glass-melting surface

Abstract

The transition from steady laminar to chaotic convection in a glass-melting furnace specified by upper surface temperature distribution has been studied by direct numerical analysis of two- and three-dimensional time dependent Navier-Stokes equations. Thermal instability of the convection roll may take place when the modified Rayleigh number Ra{sub m} is larger than 9.71 {times} 10{sup 4}. It is shown that the basic flow patterns in a glass-melting furnace are steady laminar, unsteady periodic, quasi-periodic, and chaotic flow. The instabilities have the characteristic (viscous diffusion, {tau}{sub d} = H{sup 2}/{nu}{sub 0}) timescales observed in the typical transitions. Through primary (2-D) and secondary (3-D) instability analyses, the fundamental unsteady feature in a glass-melting furnace is well defined as an unsteady periodic or a weak chaotic flow with typical periods of 1--3 times {tau}{sub d}. The results strongly imply the possibility of unsteady or chaotic flow in glass melters.

Authors:
;  [1];  [2]
  1. Hanyang Univ., Seoul (Korea, Republic of). School of Mechanical Engineering
  2. KAIST, Taejon (Korea, Republic of). Dept. of Mechanical Engineering
Publication Date:
OSTI Identifier:
687496
Resource Type:
Journal Article
Journal Name:
Numerical Heat Transfer. Part A, Applications
Additional Journal Information:
Journal Volume: 36; Journal Issue: 3; Other Information: PBD: 27 Aug 1999
Country of Publication:
United States
Language:
English
Subject:
32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATION; GLASS INDUSTRY; FURNACES; TRANSITION FLOW; TEMPERATURE DISTRIBUTION; NUMERICAL ANALYSIS; CONVECTION; INSTABILITY; UNSTEADY FLOW

Citation Formats

Lim, K.O., Lee, K.S., and Song, T.H. Primary and secondary instabilities in a glass-melting surface. United States: N. p., 1999. Web.
Lim, K.O., Lee, K.S., & Song, T.H. Primary and secondary instabilities in a glass-melting surface. United States.
Lim, K.O., Lee, K.S., and Song, T.H. Fri . "Primary and secondary instabilities in a glass-melting surface". United States.
@article{osti_687496,
title = {Primary and secondary instabilities in a glass-melting surface},
author = {Lim, K.O. and Lee, K.S. and Song, T.H.},
abstractNote = {The transition from steady laminar to chaotic convection in a glass-melting furnace specified by upper surface temperature distribution has been studied by direct numerical analysis of two- and three-dimensional time dependent Navier-Stokes equations. Thermal instability of the convection roll may take place when the modified Rayleigh number Ra{sub m} is larger than 9.71 {times} 10{sup 4}. It is shown that the basic flow patterns in a glass-melting furnace are steady laminar, unsteady periodic, quasi-periodic, and chaotic flow. The instabilities have the characteristic (viscous diffusion, {tau}{sub d} = H{sup 2}/{nu}{sub 0}) timescales observed in the typical transitions. Through primary (2-D) and secondary (3-D) instability analyses, the fundamental unsteady feature in a glass-melting furnace is well defined as an unsteady periodic or a weak chaotic flow with typical periods of 1--3 times {tau}{sub d}. The results strongly imply the possibility of unsteady or chaotic flow in glass melters.},
doi = {},
journal = {Numerical Heat Transfer. Part A, Applications},
number = 3,
volume = 36,
place = {United States},
year = {1999},
month = {8}
}