Thermal convection inside an oscillating cube analysed with proper orthogonal decomposition

We reveal the fundamental and dominant flow structures of thermal convection in a cubic cavity under forced oscillation heated differentially by analysing the flow field with the proper orthogonal decomposition (referred to as POD). The database is made of consequtive series of three-dimensional res...

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Autores principales:	Keisuke TATSUMOTO, Masaki NOBUHARA, Hirochika TANIGAWA, Katsuya HIRATA
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2015
Materias:	rayleigh-bénard convection forced vibration pod pca kl expansion laminar flow unsteady flow Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/e3e523296c68424d9e92606604a3823a
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spelling	oai:doaj.org-article:e3e523296c68424d9e92606604a3823a2021-11-26T06:23:18ZThermal convection inside an oscillating cube analysed with proper orthogonal decomposition2187-974510.1299/mej.15-00018https://doaj.org/article/e3e523296c68424d9e92606604a3823a2015-03-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/2/2/2_15-00018/_pdf/-char/enhttps://doaj.org/toc/2187-9745We reveal the fundamental and dominant flow structures of thermal convection in a cubic cavity under forced oscillation heated differentially by analysing the flow field with the proper orthogonal decomposition (referred to as POD). The database is made of consequtive series of three-dimensional results obtained by the direct numerical simulation based on the Boussinesq approximation for a forcedly-oscillating cube under the zero-gravity environment, at vibrational Rayleigh number (the Rayleigh number based on the cavity's acceleration amplitude instead of the gravitational acceleration) Raη = 5.0×104 - 1.1×105, Plandtl number Pr = 7.1 (water) and non-dimensional forced-oscillating frequency ω = 1.0×100 - 2.0×102. The direction of the forced sinusoidal oscillation is parallel to the temperature gradient. It appears that the most energetic POD modes, or the first POD eigenfunctions with large eigenvalues, account for the transient process on flow structures during one forcing cycle. The first eigenfunctions correspond to the steady and laminar flow structures which appear inside a non-oscillating cube in the terrestrial environments. The POD expansion coefficient is found to be useful for predicting a consecutive series of the dominant flow structures.Keisuke TATSUMOTOMasaki NOBUHARAHirochika TANIGAWAKatsuya HIRATAThe Japan Society of Mechanical Engineersarticlerayleigh-bénard convectionforced vibrationpodpcakl expansionlaminar flowunsteady flowMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 2, Iss 2, Pp 15-00018-15-00018 (2015)
institution	DOAJ
collection	DOAJ
language	EN
topic	rayleigh-bénard convection forced vibration pod pca kl expansion laminar flow unsteady flow Mechanical engineering and machinery TJ1-1570
spellingShingle	rayleigh-bénard convection forced vibration pod pca kl expansion laminar flow unsteady flow Mechanical engineering and machinery TJ1-1570 Keisuke TATSUMOTO Masaki NOBUHARA Hirochika TANIGAWA Katsuya HIRATA Thermal convection inside an oscillating cube analysed with proper orthogonal decomposition
description	We reveal the fundamental and dominant flow structures of thermal convection in a cubic cavity under forced oscillation heated differentially by analysing the flow field with the proper orthogonal decomposition (referred to as POD). The database is made of consequtive series of three-dimensional results obtained by the direct numerical simulation based on the Boussinesq approximation for a forcedly-oscillating cube under the zero-gravity environment, at vibrational Rayleigh number (the Rayleigh number based on the cavity's acceleration amplitude instead of the gravitational acceleration) Raη = 5.0×104 - 1.1×105, Plandtl number Pr = 7.1 (water) and non-dimensional forced-oscillating frequency ω = 1.0×100 - 2.0×102. The direction of the forced sinusoidal oscillation is parallel to the temperature gradient. It appears that the most energetic POD modes, or the first POD eigenfunctions with large eigenvalues, account for the transient process on flow structures during one forcing cycle. The first eigenfunctions correspond to the steady and laminar flow structures which appear inside a non-oscillating cube in the terrestrial environments. The POD expansion coefficient is found to be useful for predicting a consecutive series of the dominant flow structures.
format	article
author	Keisuke TATSUMOTO Masaki NOBUHARA Hirochika TANIGAWA Katsuya HIRATA
author_facet	Keisuke TATSUMOTO Masaki NOBUHARA Hirochika TANIGAWA Katsuya HIRATA
author_sort	Keisuke TATSUMOTO
title	Thermal convection inside an oscillating cube analysed with proper orthogonal decomposition
title_short	Thermal convection inside an oscillating cube analysed with proper orthogonal decomposition
title_full	Thermal convection inside an oscillating cube analysed with proper orthogonal decomposition
title_fullStr	Thermal convection inside an oscillating cube analysed with proper orthogonal decomposition
title_full_unstemmed	Thermal convection inside an oscillating cube analysed with proper orthogonal decomposition
title_sort	thermal convection inside an oscillating cube analysed with proper orthogonal decomposition
publisher	The Japan Society of Mechanical Engineers
publishDate	2015
url	https://doaj.org/article/e3e523296c68424d9e92606604a3823a
work_keys_str_mv	AT keisuketatsumoto thermalconvectioninsideanoscillatingcubeanalysedwithproperorthogonaldecomposition AT masakinobuhara thermalconvectioninsideanoscillatingcubeanalysedwithproperorthogonaldecomposition AT hirochikatanigawa thermalconvectioninsideanoscillatingcubeanalysedwithproperorthogonaldecomposition AT katsuyahirata thermalconvectioninsideanoscillatingcubeanalysedwithproperorthogonaldecomposition
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Thermal convection inside an oscillating cube analysed with proper orthogonal decomposition

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