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169658

Solution of Parabolic Navier-Stokes Equations for the Entrance Region-Flow between two Parallel Plates.

Article

Last updated: 04 Jan 2025

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Tags

Mechanical Power Engineering

Abstract

The development of the flow field in the entrance region is theoretically examined, for the case of flow between two parallel flat plates. The flow field is described by the parabolic Navier-Stokes equations. Because of the nature of these equations; it is convenient to solve them by the application of the local similarity solution method. According to this method, dimensionless form of momentum equations are transferred to ordinary differential equations. These two modified equations are solved numerically by Runge-Kutta method of ordinary differential equations accompanied with shooting method of boundary value problems. 
The values of coefficient of friction are calculated at different positions along the passage. Also the velocity profile at any position, according to this approach, can be obtained. Three passages, in this work, are studied; with Reynolds number ( based on the half of the height of the passage) of 100, 200 and 300. 

DOI

10.21608/bfemu.2021.169658

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

16

Article Issue

1

Related Issue

24660

Issue Date

1991-05-01

Receive Date

1991-01-09

Publish Date

2021-05-01

Page Start

1

Page End

10

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 16_Issue 1_Pages 1-10.pdf

PDF . 83.4kB

Link

https://bfemu.journals.ekb.eg/article_169658.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=169658

Order

16

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

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

MainTitle

Solution of Parabolic Navier-Stokes Equations for the Entrance Region-Flow between two Parallel Plates.

Details

Type

Article

Created At

22 Jan 2023