APPLICATION OF VARIATIONAL ITERATION METHOD FOR SOLVING CONVECTIVE LONGITUDINAL FINS WITH VARIABLE THERMAL CONDUCTIVITY
Publish place: 15th Annual Conference of Mechanical Engineering
Publish Year: 1386
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
ISME15_402
تاریخ نمایه سازی: 8 فروردین 1386
Abstract:
In this paper, the competency of the variational iteration method is illustrated by evaluating the efficiency of straight fins with temperature-dependent thermal conductivity, and by determining the temperature distribution within the fin. It is useful and a practical method, which can be used to solve nonlinear heat diffusion equations which are associated with variable thermal conductivity conditions. In this method, general Lagrange multipliers are introduced to construct correction functionals for the problems. The multipliers in the functionals can be identified optimally via variational theory. Comparison reveals that the approximate solutions obtained by the proposed method converge to its exact solution faster than those of Adomian method. Finally, the fin efficiency is obtained as a function of both thermo-geometric fin parameter and the thermal conductivity parameter. These results will be useful in designing straight fins with temperature-dependent thermal conductivity.
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Authors
Mahdi Moghimi
Mechical Engineering Department, Iran University of Science and Technology
Hadi Khoramishad
Mechical Engineering Department, Iran University of Science and Technology
Hamid Reza Hamid Reza
Physics Department, Amirkabir University of Technology
Seyyed Morteza Mortezaei
Physics Department, Amirkabir University of Technology
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