Composition Dependence of Viscosity in Binary Silicate Melts Using Double Exponential Function

Nakamoto, Masashi; Tanaka, Toshihiro; Holappa, Lauri; Yamamoto, Takaiku

doi:info:doi/10.2355/isijinternational.52.1902

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タイトル	Composition Dependence of Viscosity in Binary Silicate Melts Using Double Exponential Function
著者	Nakamoto, Masashi Nakamoto, Masashi
	Tanaka, Toshihiro Tanaka, Toshihiro
	Holappa, Lauri Holappa, Lauri
	Yamamoto, Takaiku Yamamoto, Takaiku
キーワード等	viscosity
	silicate
	binary system
	double exponential function
	double logarithm
	Gumbel distribution
抄録	Development of a model for estimating the viscosity of a molten silicate is important because viscosity plays an important role in high-temperature processes. However, there is still much controversy with regard to the type of equation that is appropriate for expressing viscosity changes with changes in composition and temperature. In the present work, the composition dependence of viscosity for molten silicates in binary systems was investigated based on a double exponential function. The relationship between the double logarithm of viscosity, which is an inverse of a double exponential function, and the composition was clarified using the available experimental data. We found that the double logarithm of viscosity is linearly related to the composition in certain composition ranges. The double exponential function derived empirically by fitting it to the experimental data shows a reasonable viscosity dependence on composition and temperature. The linear relationship between the double logarithm of viscosity and the composition can be derived by assuming that the probability function of the occurrence of flow in a binary silicate melt has a Gumbel distribution.
公開者	日本鉄鋼協会
公開者の別表記	The Iron and Steel Institute of Japan
公開者 (ヨミ)	ニホン　テッコウ　キョウカイ
掲載誌名	ISIJ International
巻	52
号	10
開始ページ	1902
終了ページ	1908
刊行年月	2012
ISSN	09151559
NCID	AA10680712
DOI (出版社版)	info:doi/10.2355/isijinternational.52.1902
URL	http://hdl.handle.net/11094/26386
権利情報	© 2012 ISIJ
言語	英語
カテゴリ	学術雑誌論文 Journal Article

著者版フラグ	publisher
NII資源タイプ	学術雑誌論文
ローカル資源タイプ	学術雑誌論文
dcmi資源タイプ	text
DCTERMS.bibliographicCitation	ISIJ International.52(10) P.1902-P.1908
DC.title	Composition Dependence of Viscosity in Binary Silicate Melts Using Double Exponential Function
DC.creator	Nakamoto, Masashi
	Tanaka, Toshihiro
	Holappa, Lauri
	Yamamoto, Takaiku
DC.publisher	日本鉄鋼協会
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2012
DC.identifier	info:doi/10.2355/isijinternational.52.1902
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/26386
DC.subject	viscosity
	silicate
	binary system
	double exponential function
	double logarithm
	Gumbel distribution
DCTERMS.abstract	Development of a model for estimating the viscosity of a molten silicate is important because viscosity plays an important role in high-temperature processes. However, there is still much controversy with regard to the type of equation that is appropriate for expressing viscosity changes with changes in composition and temperature. In the present work, the composition dependence of viscosity for molten silicates in binary systems was investigated based on a double exponential function. The relationship between the double logarithm of viscosity, which is an inverse of a double exponential function, and the composition was clarified using the available experimental data. We found that the double logarithm of viscosity is linearly related to the composition in certain composition ranges. The double exponential function derived empirically by fitting it to the experimental data shows a reasonable viscosity dependence on composition and temperature. The linear relationship between the double logarithm of viscosity and the composition can be derived by assuming that the probability function of the occurrence of flow in a binary silicate melt has a Gumbel distribution.
DC.rights	© 2012 ISIJ
citation_title	Composition Dependence of Viscosity in Binary Silicate Melts Using Double Exponential Function
citation_author	Nakamoto, Masashi
	Tanaka, Toshihiro
	Holappa, Lauri
	Yamamoto, Takaiku
citation_publisher	日本鉄鋼協会
citation_language	英語
citation_date	2012
citation_journal_title	ISIJ International
citation_volume	52
citation_issue	10
citation_firstpage	1902
citation_lastpage	1908
citation_issn	09151559
citation_doi	info:doi/10.2355/isijinternational.52.1902
citation_public_url	http://hdl.handle.net/11094/26386
citation_keywords	viscosity
	silicate
	binary system
	double exponential function
	double logarithm
	Gumbel distribution

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