DETERMINATION OF TEMPERATURE DISTRIBUTION FOR ANNULAR FINS WITH TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY BY HPM

• Main Authors: Davood Domairry Ganji, Zaman Ziabkhsh Ganji, Hosain Domiri Ganji
• Format: Article
• Language: English
• Published: VINCA Institute of Nuclear Sciences 2011-01-01
• Series: Thermal Science
• Subjects: homotopy perturbation method; numerical method; annular fin; thermal conductivity in heat transfer
• Online Access: http://thermalscience.vinca.rs/2011/5/15
• ISSN: 0354-9836

In this paper, homotopy perturbation method has been used to evaluate the temperature distribution of annular fin with temperature-dependent thermal conductivity and to determine the temperature distribution within the fin. This method is useful and practical for solving the nonlinear heat transfer equation, which is associated with variable thermal conductivity condition. The homotopy perturbation method provides an approximate analytical solution in the form of an infinite power series. The annular fin heat transfer rate with temperature-dependent thermal conductivity has been obtained as a function of thermo-geometric fin parameter and the thermal conductivity parameter describing the variation of the thermal conductivity.