Group classification of fin equation with variable thermal properties

M. Pakdemirli; A. Z. Sahin

doi:10.1016/j.ijengsci.2004.04.005

Group classification of fin equation with variable thermal properties

M. Pakdemirli^*, A. Z. Sahin

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

A nonlinear fin equation in which thermal conductivity is an arbitrary function of temperature and, heat transfer coefficient is an arbitrary function of spatial variable is considered. Lie Group theory is applied to the equation. Group classification with respect to the thermal conductivity and heat transfer coefficient is performed. Results are summarized in a table for convenience. Some similarity transformations are used to convert the partial differential equation into an ordinary differential equation.

Original language	English
Pages (from-to)	1875-1889
Number of pages	15
Journal	International Journal of Engineering Science
Volume	42
Issue number	17-18
DOIs	https://doi.org/10.1016/j.ijengsci.2004.04.005
State	Published - Oct 2004

Bibliographical note

Funding Information:
The authors acknowledge the support of King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia for this work.

Keywords

Fin
Group classification
Heat transfer
Lie group theory
Similarity transformations

ASJC Scopus subject areas

General Materials Science
General Engineering
Mechanics of Materials
Mechanical Engineering

Access to Document

10.1016/j.ijengsci.2004.04.005

Cite this

@article{a620ebe1813b467d918c1b109aba358b,

title = "Group classification of fin equation with variable thermal properties",

abstract = "A nonlinear fin equation in which thermal conductivity is an arbitrary function of temperature and, heat transfer coefficient is an arbitrary function of spatial variable is considered. Lie Group theory is applied to the equation. Group classification with respect to the thermal conductivity and heat transfer coefficient is performed. Results are summarized in a table for convenience. Some similarity transformations are used to convert the partial differential equation into an ordinary differential equation.",

keywords = "Fin, Group classification, Heat transfer, Lie group theory, Similarity transformations",

author = "M. Pakdemirli and Sahin, \{A. Z.\}",

note = "Funding Information: The authors acknowledge the support of King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia for this work.",

year = "2004",

month = oct,

doi = "10.1016/j.ijengsci.2004.04.005",

language = "English",

volume = "42",

pages = "1875--1889",

journal = "International Journal of Engineering Science",

issn = "0020-7225",

number = "17-18",

}

TY - JOUR

T1 - Group classification of fin equation with variable thermal properties

AU - Pakdemirli, M.

AU - Sahin, A. Z.

N1 - Funding Information: The authors acknowledge the support of King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia for this work.

PY - 2004/10

Y1 - 2004/10

N2 - A nonlinear fin equation in which thermal conductivity is an arbitrary function of temperature and, heat transfer coefficient is an arbitrary function of spatial variable is considered. Lie Group theory is applied to the equation. Group classification with respect to the thermal conductivity and heat transfer coefficient is performed. Results are summarized in a table for convenience. Some similarity transformations are used to convert the partial differential equation into an ordinary differential equation.

AB - A nonlinear fin equation in which thermal conductivity is an arbitrary function of temperature and, heat transfer coefficient is an arbitrary function of spatial variable is considered. Lie Group theory is applied to the equation. Group classification with respect to the thermal conductivity and heat transfer coefficient is performed. Results are summarized in a table for convenience. Some similarity transformations are used to convert the partial differential equation into an ordinary differential equation.

KW - Fin

KW - Group classification

KW - Heat transfer

KW - Lie group theory

KW - Similarity transformations

UR - https://www.scopus.com/pages/publications/4644360088

U2 - 10.1016/j.ijengsci.2004.04.005

DO - 10.1016/j.ijengsci.2004.04.005

M3 - Article

AN - SCOPUS:4644360088

SN - 0020-7225

VL - 42

SP - 1875

EP - 1889

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

IS - 17-18

ER -

Group classification of fin equation with variable thermal properties

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this