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149965

A Good Approximate Solution of Heat Conduction Equations in Cylindrical Coordinates Composite Media.

Article

Last updated: 04 Jan 2025

Subjects

-

Tags

Mathematics and Engineering Physics

Abstract

An approximate analysis of transient heat diffusion problem in two composite cylindrical media is investigated. A new formulation of the problem is introduced in which the outer layer of the composite cylinders is lumped by assuming a uniform temperature distribution throughout. The temperature, however, is allowed to vary with time. this assumption reduces the two layers problem to a one region problem with a new set of boundary conditions which compensates the effect of the lumped outer layer. The temperature distribution of the approximate formulation is than compared to the exact distribution obtained analytically. A" breakdown" criterion of the approximation is obtained.

DOI

10.21608/bfemu.2021.149965

Authors

First Name

S.

Last Name

Behiry

MiddleName

H.

Affiliation

Mathematics & Physics Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.

Email

-

City

Mansoura

Orcid

-

First Name

B.

Last Name

Abdel-Hamid

MiddleName

-

Affiliation

Mathematics & Computer Science Department., Faculty of Science United Arab Emirates University.

Email

-

City

-

Orcid

-

First Name

M.

Last Name

Helal

MiddleName

M.

Affiliation

Mathematics & Physics Engineering Department., Faculty of Engineering., Zagazig University., Zagazig., Egypt.

Email

engmmhelal@yahoo.com

City

Zagazig

Orcid

-

Volume

23

Article Issue

2

Related Issue

21994

Issue Date

1998-06-01

Receive Date

1998-02-11

Publish Date

2021-06-01

Page Start

1

Page End

10

Print ISSN

1110-0923

Online ISSN

2735-4202

Link

https://bfemu.journals.ekb.eg/article_149965.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=149965

Order

5

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

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

MainTitle

A Good Approximate Solution of Heat Conduction Equations in Cylindrical Coordinates Composite Media.

Details

Type

Article

Created At

22 Jan 2023