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170954

Effect of the Aspect Ratio on the Natural Convection in a Rectangular Porous Medium.

Article

Last updated: 04 Jan 2025

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Subjects

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Tags

Mechanical Power Engineering

Abstract

The effect of the aspect ratio on natural convection in a two dimensional rectangular cavity filled with fluid eaturated porous media is examined numerically. The vertical walls of the cavity are adiabatic and the horizontal walls are isothermal with lower hotter one and upper colder one. The test is done for aspect ratios 1 to 8 and wide range of Darcy-Rayleigh number Ra up to 800. Results are presented. In terms of the streamlines and isotherms, maximum velocity and stream function, the local and global Nusselt number as well as the number of flow cells.
By the increase of the aspect ratio a two dimensional cellular pattern appears with vigorous motion as the Darcy-Rayleigh number increases. The number of flow cells increases with the aspect ratio. The non-dimensional average flow velocity is independent on the aspect ratio and increases linearly with the increase of Ra. The extremun value of   non-dimensional stream function decreases with the increase of aspect ratio. The turning points in the local Nu at the isothermal walls occurs at the boundaries of the cells. Its number equals to the cells number and increases as the aspect ratio increases. The global Nu at the isothermal walls is independent on the aspect ratio and increases with Ra due to the relation Nu = 1.59344 in Ra – 5.186 .     

DOI

10.21608/bfemu.2021.170954

Authors

First Name

M.

Last Name

El-Kady

MiddleName

S.

Affiliation

Faculty of Engineering., El-Mansoura University., Mansoura., egypt.

Email

mselkady@mum.mans.eun.eg

City

Mansoura

Orcid

-

Volume

15

Article Issue

1

Related Issue

24850

Issue Date

1990-06-01

Receive Date

1990-04-26

Publish Date

2021-05-20

Page Start

95

Page End

107

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 15_Issue 1_Pages 95-107.pdf

PDF . 117.8kB

Link

https://bfemu.journals.ekb.eg/article_170954.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=170954

Order

18

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

https://bfemu.journals.ekb.eg/

MainTitle

Effect of the Aspect Ratio on the Natural Convection in a Rectangular Porous Medium.

Details

Type

Article

Created At

22 Jan 2023