Free Convection in an Inclined Concentric Annular Square Cavities Filled With Porous Medium and Heated By Non-Uniform

A numerical study of the two-dimensional steady free convection flow in an inclined annulus between two concentric square cavities filled with a porous medium is presented in this paper for the case when the side outer walls are kept with differentially heated temperature while the horizontal outer...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Nabeel Mohammed Jasim
Formato:	article
Lenguaje:	EN
Publicado:	Al-Khwarizmi College of Engineering – University of Baghdad 2010
Materias:	Free convection inclined annulus porous medium sinusoidal temperature Chemical engineering TP155-156 Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/66159a5b90244d6b80c8c16304f428ef
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:66159a5b90244d6b80c8c16304f428ef
record_format	dspace
spelling	oai:doaj.org-article:66159a5b90244d6b80c8c16304f428ef2021-12-02T07:52:11ZFree Convection in an Inclined Concentric Annular Square Cavities Filled With Porous Medium and Heated By Non-Uniform1818-1171https://doaj.org/article/66159a5b90244d6b80c8c16304f428ef2010-01-01T00:00:00Zhttp://www.iasj.net/iasj?func=fulltext&aId=2374https://doaj.org/toc/1818-1171A numerical study of the two-dimensional steady free convection flow in an inclined annulus between two concentric square cavities filled with a porous medium is presented in this paper for the case when the side outer walls are kept with differentially heated temperature while the horizontal outer walls and the inner walls are insulated. The heated wall is assumed to have spatial sinusoidal temperature variation about a constant mean value. The Darcy model is used and the fluid is assumed to be a standard Boussinesq fluid. For the Cartesian coordinate system, the governing equations which were used in stream function form are discretized by using the finite difference method with successive under relaxation method (SUR) and are solved by Gauss-Siedel iterative method. The upwind scheme was used for the transport terms in the energy conservation equation. The results are presented to demonstrate the streamlines, the isotherms, and the Nusselt number depending on the Rayleigh number ranging from (Ra =10 to 1000), dimension ratio from (Dr = 0.15 to 0.45), and the inclination angle from ( = 0o to 45o). Also the effects of the amplitude ( =0 to 1) and the wave number (f =0 to 5) of the heated side wall temperature variation on the free convection are investigated. The results show the effect of previous parameters (Ra, Dr, , , and f) on the flow fields and temperature profiles. It also show that the average Nusselt number is a strong function of the Rayleigh number, inclination angle, dimension ratio, and temperature variation. The peak value of the average Nusselt number based on the hot wall temperature is observed to occur at dimension ratio of (0.15), inclination angle of (40.1°), amplitude and wave number (1 & 0.75) for Rayleigh number of (1000).Nabeel Mohammed JasimAl-Khwarizmi College of Engineering – University of BaghdadarticleFree convectioninclined annulusporous mediumsinusoidal temperatureChemical engineeringTP155-156Engineering (General). Civil engineering (General)TA1-2040ENAl-Khawarizmi Engineering Journal, Vol 6, Iss 3, Pp 45-60 (2010)
institution	DOAJ
collection	DOAJ
language	EN
topic	Free convection inclined annulus porous medium sinusoidal temperature Chemical engineering TP155-156 Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Free convection inclined annulus porous medium sinusoidal temperature Chemical engineering TP155-156 Engineering (General). Civil engineering (General) TA1-2040 Nabeel Mohammed Jasim Free Convection in an Inclined Concentric Annular Square Cavities Filled With Porous Medium and Heated By Non-Uniform
description	A numerical study of the two-dimensional steady free convection flow in an inclined annulus between two concentric square cavities filled with a porous medium is presented in this paper for the case when the side outer walls are kept with differentially heated temperature while the horizontal outer walls and the inner walls are insulated. The heated wall is assumed to have spatial sinusoidal temperature variation about a constant mean value. The Darcy model is used and the fluid is assumed to be a standard Boussinesq fluid. For the Cartesian coordinate system, the governing equations which were used in stream function form are discretized by using the finite difference method with successive under relaxation method (SUR) and are solved by Gauss-Siedel iterative method. The upwind scheme was used for the transport terms in the energy conservation equation. The results are presented to demonstrate the streamlines, the isotherms, and the Nusselt number depending on the Rayleigh number ranging from (Ra =10 to 1000), dimension ratio from (Dr = 0.15 to 0.45), and the inclination angle from ( = 0o to 45o). Also the effects of the amplitude ( =0 to 1) and the wave number (f =0 to 5) of the heated side wall temperature variation on the free convection are investigated. The results show the effect of previous parameters (Ra, Dr, , , and f) on the flow fields and temperature profiles. It also show that the average Nusselt number is a strong function of the Rayleigh number, inclination angle, dimension ratio, and temperature variation. The peak value of the average Nusselt number based on the hot wall temperature is observed to occur at dimension ratio of (0.15), inclination angle of (40.1°), amplitude and wave number (1 & 0.75) for Rayleigh number of (1000).
format	article
author	Nabeel Mohammed Jasim
author_facet	Nabeel Mohammed Jasim
author_sort	Nabeel Mohammed Jasim
title	Free Convection in an Inclined Concentric Annular Square Cavities Filled With Porous Medium and Heated By Non-Uniform
title_short	Free Convection in an Inclined Concentric Annular Square Cavities Filled With Porous Medium and Heated By Non-Uniform
title_full	Free Convection in an Inclined Concentric Annular Square Cavities Filled With Porous Medium and Heated By Non-Uniform
title_fullStr	Free Convection in an Inclined Concentric Annular Square Cavities Filled With Porous Medium and Heated By Non-Uniform
title_full_unstemmed	Free Convection in an Inclined Concentric Annular Square Cavities Filled With Porous Medium and Heated By Non-Uniform
title_sort	free convection in an inclined concentric annular square cavities filled with porous medium and heated by non-uniform
publisher	Al-Khwarizmi College of Engineering – University of Baghdad
publishDate	2010
url	https://doaj.org/article/66159a5b90244d6b80c8c16304f428ef
work_keys_str_mv	AT nabeelmohammedjasim freeconvectioninaninclinedconcentricannularsquarecavitiesfilledwithporousmediumandheatedbynonuniform
_version_	1718399159523868672

Free Convection in an Inclined Concentric Annular Square Cavities Filled With Porous Medium and Heated By Non-Uniform

Ejemplares similares