Invariance, conservation laws, and exact solutions of the nonlinear cylindrical fin equation

Saeed M. Ali; Ashfaque H. Bokhari; Fiazuddin D. Zaman; Abdul H. Kara

doi:10.5560/ZNA.2014-0008

Invariance, conservation laws, and exact solutions of the nonlinear cylindrical fin equation

Saeed M. Ali
, Ashfaque H. Bokhari
, Fiazuddin D. Zaman
, Abdul H. Kara^*

^*Corresponding author for this work

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

1 Scopus citations

Abstract

Fins are heat exchange surfaces which are used widely in industry. The partial differential equation arising from heat transfer in a fin of cylindrical shape with temperature dependent thermal diffusivity are studied. The method of multipliers and invariance of the differential equations is employed to obtain conservation laws and perform double reduction.

Original language	English
Pages (from-to)	195-198
Number of pages	4
Journal	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume	69
Issue number	5-6
DOIs	https://doi.org/10.5560/ZNA.2014-0008
State	Published - 2014

Keywords

Conservation laws
Exact solutions
Nonlinear cylindrical fin equation

ASJC Scopus subject areas

Mathematical Physics
General Physics and Astronomy
Physical and Theoretical Chemistry

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10.5560/ZNA.2014-0008

Cite this

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title = "Invariance, conservation laws, and exact solutions of the nonlinear cylindrical fin equation",

abstract = "Fins are heat exchange surfaces which are used widely in industry. The partial differential equation arising from heat transfer in a fin of cylindrical shape with temperature dependent thermal diffusivity are studied. The method of multipliers and invariance of the differential equations is employed to obtain conservation laws and perform double reduction.",

keywords = "Conservation laws, Exact solutions, Nonlinear cylindrical fin equation",

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AU - Ali, Saeed M.

AU - Bokhari, Ashfaque H.

AU - Zaman, Fiazuddin D.

AU - Kara, Abdul H.

PY - 2014

Y1 - 2014

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AB - Fins are heat exchange surfaces which are used widely in industry. The partial differential equation arising from heat transfer in a fin of cylindrical shape with temperature dependent thermal diffusivity are studied. The method of multipliers and invariance of the differential equations is employed to obtain conservation laws and perform double reduction.

KW - Conservation laws

KW - Exact solutions

KW - Nonlinear cylindrical fin equation

UR - https://www.scopus.com/pages/publications/84901508744

U2 - 10.5560/ZNA.2014-0008

DO - 10.5560/ZNA.2014-0008

M3 - Article

AN - SCOPUS:84901508744

SN - 0932-0784

VL - 69

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JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

IS - 5-6

ER -

Invariance, conservation laws, and exact solutions of the nonlinear cylindrical fin equation

Abstract

Keywords

ASJC Scopus subject areas

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