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Some exact solutions of nonlinear fin problem for steady heat transfer in longitudinal fin with different profiles

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dc.contributor.author Mhlongo, MD
dc.contributor.author Moitsheki, RJ
dc.date.accessioned 2014-07-30T09:15:37Z
dc.date.available 2014-07-30T09:15:37Z
dc.date.issued 2014-05
dc.identifier.citation Mhlongo, M.D and Moitsheki, R.J. 2014. Some exact solutions of nonlinear fin problem for steady heat transfer in longitudinal fin with different profiles. Advances in Mathematical Physics, vol. 2014(947160), pp 1-16 en_US
dc.identifier.issn 1687-9120
dc.identifier.uri http://www.hindawi.com/journals/amp/2014/947160/
dc.identifier.uri http://hdl.handle.net/10204/7533
dc.description Copyright: 2014 Hindawi Publishing Corporation. This is an Open Access journal. The journal authorizes the publication of the information herewith contained. Published in Advances in Mathematical Physics, vol. 2014(947160), pp 1-16 en_US
dc.description.abstract One-dimensional steady-state heat transfer in fins of different profiles is studied. The problem considered satisfies the Dirichlet boundary conditions at one end and theNeumann boundary conditions at the other.Thethermal conductivity and heat coefficients are assumed to be temperature dependent, which makes the resulting differential equation highly nonlinear. Classical Lie point symmetry methods are employed, and some reductions are performed. Some invariant solutions are constructed. The effects of thermogeometric fin parameter, the exponent on temperature, and the fin efficiency are studied. en_US
dc.language.iso en en_US
dc.publisher Hindawi Publishing Corporation en_US
dc.relation.ispartofseries Workflow;13053
dc.subject Steady heat transfer en_US
dc.subject Mathematical modelingMathematical modeling en_US
dc.subject Mathematical physics en_US
dc.subject Dirichlet boundary conditions en_US
dc.subject Longitudinal fin en_US
dc.subject Lie point symmetry methods en_US
dc.title Some exact solutions of nonlinear fin problem for steady heat transfer in longitudinal fin with different profiles en_US
dc.type Article en_US
dc.identifier.apacitation Mhlongo, M., & Moitsheki, R. (2014). Some exact solutions of nonlinear fin problem for steady heat transfer in longitudinal fin with different profiles. http://hdl.handle.net/10204/7533 en_ZA
dc.identifier.chicagocitation Mhlongo, MD, and RJ Moitsheki "Some exact solutions of nonlinear fin problem for steady heat transfer in longitudinal fin with different profiles." (2014) http://hdl.handle.net/10204/7533 en_ZA
dc.identifier.vancouvercitation Mhlongo M, Moitsheki R. Some exact solutions of nonlinear fin problem for steady heat transfer in longitudinal fin with different profiles. 2014; http://hdl.handle.net/10204/7533. en_ZA
dc.identifier.ris TY - Article AU - Mhlongo, MD AU - Moitsheki, RJ AB - One-dimensional steady-state heat transfer in fins of different profiles is studied. The problem considered satisfies the Dirichlet boundary conditions at one end and theNeumann boundary conditions at the other.Thethermal conductivity and heat coefficients are assumed to be temperature dependent, which makes the resulting differential equation highly nonlinear. Classical Lie point symmetry methods are employed, and some reductions are performed. Some invariant solutions are constructed. The effects of thermogeometric fin parameter, the exponent on temperature, and the fin efficiency are studied. DA - 2014-05 DB - ResearchSpace DP - CSIR KW - Steady heat transfer KW - Mathematical modelingMathematical modeling KW - Mathematical physics KW - Dirichlet boundary conditions KW - Longitudinal fin KW - Lie point symmetry methods LK - https://researchspace.csir.co.za PY - 2014 SM - 1687-9120 T1 - Some exact solutions of nonlinear fin problem for steady heat transfer in longitudinal fin with different profiles TI - Some exact solutions of nonlinear fin problem for steady heat transfer in longitudinal fin with different profiles UR - http://hdl.handle.net/10204/7533 ER - en_ZA


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