Efficiency analysis of straight fin with variable heat transfer coefficient and thermal conductivity |
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Authors: | Sadri Somayyeh Raveshi Mohammad Reza Amiri Shayan |
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Affiliation: | 1.Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran ; |
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Abstract: | In this study, one type of applicable analytical method, differential transformation method (DTM), is used to evaluate the
efficiency and behavior of a straight fin with variable thermal conductivity and heat transfer coefficient. Fins are widely
used to enhance heat transfer between primary surface and the environment in many industrial applications. The performance
of such a surface is significantly affected by variable thermal conductivity and heat transfer coefficient, particularly for
large temperature differences. General heat transfer equation related to the fin is derived and dimensionalized. The concept
of differential transformation is briefly introduced, and then this method is employed to derive solutions of nonlinear equations.
Results are evaluated for several cases such as: laminar film boiling or condensation, forced convection, laminar natural
convection, turbulent natural convection, nucleate boiling, and radiation. The obtained results from DTM are compared with
the numerical solution to verify the accuracy of the proposed method. The effects of design parameters on temperature and
efficiency are evaluated by some figures. The major aim of the present study, which is exclusive for this article, is to find
the effect of the modes of heat transfer on fin efficiency. It has been shown that for radiation heat transfer, thermal efficiency
reaches its maximum value. |
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