TY - JOUR
TI - Analytical investigation of nonlinear model arising in heat transfer through the porous fin
AU - Rostamiyan Yasser
AU - Ganji Davood Domairry
AU - Petroudi Iman Rahimi
AU - Nejad Mehdi Khazayi
JN - Thermal Science
PY - 2014
VL - 18
IS - 2
SP - 409
EP - 417
PT - Article
AB - In this letter simple analytical methods called homotopy perturbation  method(HPM), variation iteration method(VIM) and perturbation method(PM) are  employed to approach temperature distribution of porous fins. also energy  balance and Darcy's model used to formulate the heat transfer equation. To  study the thermal performance, a type case considered is finite-length fin  with insulated tip. The obtained results from variation iteration method  (VIM) are compared with other analytical techniques proposed before. These  methods are homotopy perturbation method and perturbation method (PM). Also  BVP is applied as a numerical method for validation. The obtained results  shows that the VIM is more accurate, stable and more appropriate than other  techniques. Also it is found that this method is powerful mathematical tools  and can be applied to a large class of linear and nonlinear problems arising  in different fields of science and engineering specially some heat transfer  equations.