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149961

Local Similarity Solution of the Free Convection from a Long Vertical Cylinder Embedded in a Darcian Fluid-Saturated Porous Medium.

Article

Last updated: 04 Jan 2025

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Subjects

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Tags

Mechanical Power Engineering

Abstract

In this work , local similarity solution is obtained for free convection from along cylinder embedded in afluid-saturated porous medium. The cylinder wall is maintained constant. The free convection along the cylinder is described by continuity equation, momentum equation in axial direction, momentum equation in radial direction and energy equation . these governing equations are expressed in cylindrical coordinates. Defining new proper independent and dependent variables , the governing equations are transformed to dimensionless form. Since the proposed solution is restricted to the case of long cylinders, the derived dimensionless governing equations are ordinary differential equations of the boundary value problems type. They are solved numerically using Runge - Kutta method accompanied with shooting technique. Newton-raphson method of non-algebraic equation is used to carry out the shooting technique . solving these equations at different positions along the cylinder, temperature and velocity distributions are obtained and hence the values of local nusselt number are calculated for rayeigh number of 1,5 ,10 and 20. Because of the application of darcian model. In this work, the obtained results are valid only for the case of porous medium of small permeability.

DOI

10.21608/bfemu.2021.149961

Authors

First Name

Mohamed

Last Name

Wasel

MiddleName

Gamal Hassan

Affiliation

Mechanical Power Engineering Department., Faculty of Engineering., El--Mansoura University., Mansoura., Egypt.

Email

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City

Mansoura

Orcid

-

Volume

23

Article Issue

2

Related Issue

21994

Issue Date

1998-06-01

Receive Date

1998-04-11

Publish Date

2020-01-01

Page Start

16

Page End

25

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 23_Issue 2_Pages 16-25.pdf

PDF . 614.8kB

Link

https://bfemu.journals.ekb.eg/article_149961.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=149961

Order

4

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

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

MainTitle

Local Similarity Solution of the Free Convection from a Long Vertical Cylinder Embedded in a Darcian Fluid-Saturated Porous Medium.

Details

Type

Article

Created At

22 Jan 2023