Mhlongo, MDMoitsheki, RJ2014-07-302014-07-302014-05Mhlongo, 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 1-161687-9120http://www.hindawi.com/journals/amp/2014/947160/http://hdl.handle.net/10204/7533Copyright: 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 1-16One-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.enSteady heat transferMathematical modelingMathematical modelingMathematical physicsDirichlet boundary conditionsLongitudinal finLie point symmetry methodsArticleMhlongo, 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/10204/7533Mhlongo, 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/10204/7533Mhlongo 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.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 -