Invariance, Conservation Laws, and Exact Solutions of the Nonlinear Cylindrical Fin Equation-Reference-Cited by-同舟云学术

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Invariance, Conservation Laws, and Exact Solutions of the Nonlinear Cylindrical Fin Equation

Published:2014-06-01 Issue:5-6 Volume:69 Page:195-198
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Ali Saeed M.¹,Bokhari Ashfaque H.¹,Zaman Fiazuddin D.¹,Kara Abdul H.²

Affiliation:

1. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

2. School of Mathematics, Centre for Differential Equations Continuum Mechanics and Applications University of the Witwatersrand Johannesburg, Wits 2050, South Africa

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.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.5560/zna.2014-0008/pdf

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Analysis of Heat Transfer in a Cylindrical Spine Fin with Variable Thermal Properties;Defect and Diffusion Forum;2018-09

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