The Experts below are selected from a list of 11358 Experts worldwide ranked by ideXlab platform
M. N. Bouaziz - One of the best experts on this subject based on the ideXlab platform.
-
a least squares method for a Longitudinal Fin with temperature dependent internal heat generation and thermal conductivity
Energy Conversion and Management, 2011Co-Authors: A Aziz, M. N. BouazizAbstract:Approximate but highly accurate solutions for the temperature distribution, Fin efficiency, and optimum Fin parameter for a constant area Longitudinal Fin with temperature dependent internal heat generation and thermal conductivity are derived analytically. The method of least squares recently used by the authors is applied to treat the two nonlinearities, one associated with the temperature dependent internal heat generation and the other due to temperature dependent thermal conductivity. The solution is built from the classical solution for a Fin with uniform internal heat generation and constant thermal conductivity. The results are presented graphically and compared with the direct numerical solutions. The analytical solutions retain their accuracy (within 1% of the numerical solution) even when there is a 60% increase in thermal conductivity and internal heat generation at the base temperature from their corresponding values at the sink temperature. The present solution is simple (involves hyperbolic functions only) compared with the fairly complex approximate solutions based on the homotopy perturbation method, variational iteration method, and the double series regular perturbation method and offers high accuracy. The simple analytical expressions for the temperature distribution, the Fin efficiency and the optimum Fin parameter are convenient for use by engineers dealing with the design and analysis of heat generating Fins operating with a large temperature difference between the base and the environment.
D D Ganji - One of the best experts on this subject based on the ideXlab platform.
-
analytical investigation of convective heat transfer of a Longitudinal Fin with temperature dependent thermal conductivity heat transfer coefficient and heat generation
International Journal of Physical Sciences, 2014Co-Authors: D D Ganji, A S DogonchiAbstract:In this article, the heat transfer through a Longitudinal Fin is studied. The heat transfer coefficient, thermal conductivity and heat generation are variables and supposed to be temperature-dependent. The temperature distribution in Fin with Longitudinal rectangular profile was carried out by using the differential transformation method (DTM) which is an analytical solution technique. For validation of the analytical solution, the heat equation is solved numerically. The temperature distribution is shown for different values of the embedding parameters. The DTM results indicate that the Fin tip temperature increases with an increase in the heat generation gradient. Results reveal that DTM is very effective and convenient. Comparison of the results (DTM and numerical) was shown that the analytical method and numerical data are in a good agreement with each other. Key words: Fins, temperature dependent thermal properties, heat generation, analytical solutions, differential transformation method (DTM).
-
thermal analysis of convective Fin with temperature dependent thermal conductivity and heat generation
Case Studies in Thermal Engineering, 2014Co-Authors: S E Ghasemi, M Hatami, D D GanjiAbstract:Abstract In this study, a simple and highly accurate semi-analytical method called the Differential Transformation Method (DTM) is used for solving the nonlinear temperature distribution equation in a Longitudinal Fin with temperature dependent internal heat generation and thermal conductivity. The problem is solved for two main cases. In the first case, heat generation is assumed variable by Fin temperature and in the second case, both thermal conductivity and heat generation vary with temperature. Results are presented for the temperature distribution for a range of values of parameters appeared in the mathematical formulation (e.g. N , e G , and G ). Results reveal that DTM is very effective and convenient. Also, it is found that this method can achieve more suitable results compared to numerical methods.
A Aziz - One of the best experts on this subject based on the ideXlab platform.
-
a least squares method for a Longitudinal Fin with temperature dependent internal heat generation and thermal conductivity
Energy Conversion and Management, 2011Co-Authors: A Aziz, M. N. BouazizAbstract:Approximate but highly accurate solutions for the temperature distribution, Fin efficiency, and optimum Fin parameter for a constant area Longitudinal Fin with temperature dependent internal heat generation and thermal conductivity are derived analytically. The method of least squares recently used by the authors is applied to treat the two nonlinearities, one associated with the temperature dependent internal heat generation and the other due to temperature dependent thermal conductivity. The solution is built from the classical solution for a Fin with uniform internal heat generation and constant thermal conductivity. The results are presented graphically and compared with the direct numerical solutions. The analytical solutions retain their accuracy (within 1% of the numerical solution) even when there is a 60% increase in thermal conductivity and internal heat generation at the base temperature from their corresponding values at the sink temperature. The present solution is simple (involves hyperbolic functions only) compared with the fairly complex approximate solutions based on the homotopy perturbation method, variational iteration method, and the double series regular perturbation method and offers high accuracy. The simple analytical expressions for the temperature distribution, the Fin efficiency and the optimum Fin parameter are convenient for use by engineers dealing with the design and analysis of heat generating Fins operating with a large temperature difference between the base and the environment.
S E Ghasemi - One of the best experts on this subject based on the ideXlab platform.
-
thermal analysis of convective Fin with temperature dependent thermal conductivity and heat generation
Case Studies in Thermal Engineering, 2014Co-Authors: S E Ghasemi, M Hatami, D D GanjiAbstract:Abstract In this study, a simple and highly accurate semi-analytical method called the Differential Transformation Method (DTM) is used for solving the nonlinear temperature distribution equation in a Longitudinal Fin with temperature dependent internal heat generation and thermal conductivity. The problem is solved for two main cases. In the first case, heat generation is assumed variable by Fin temperature and in the second case, both thermal conductivity and heat generation vary with temperature. Results are presented for the temperature distribution for a range of values of parameters appeared in the mathematical formulation (e.g. N , e G , and G ). Results reveal that DTM is very effective and convenient. Also, it is found that this method can achieve more suitable results compared to numerical methods.
M G Sobamowo - One of the best experts on this subject based on the ideXlab platform.
-
thermal analysis of Longitudinal Fin with temperature dependent properties and internal heat generation using galerkin s method of weighted residual
Applied Thermal Engineering, 2016Co-Authors: M G SobamowoAbstract:Abstract In this study, heat transfer in a Longitudinal rectangular Fin with temperature-dependent thermal properties and internal heat generation is analysed using Galerkin's method of weighted residual. The simple, but highly accurate solution was validated by the exact solution for the linear problem, and also by numerical method and differential transformation method in the case of the non-linear problem. The developed heat transfer models were used to investigate the effects of thermo-geometric parameters, coefficient of heat transfer and thermal conductivity (non-linear) parameters on the temperature distribution, heat transfer and thermal performance of the Longitudinal rectangular Fin. From the results, it shows that the Fin temperature distribution, the total heat transfer, the Fin effectiveness, and the Fin efficiency are significantly affected by the thermo-geometric and thermal parameters of the Fin. The analysis revealed that the operational parameters must be carefully chosen to ensure that the Fin retains its primary purpose of removing heat from the primary surface. Therefore, the results obtained in this analysis serve as basis for comparison of any other method of analysis of the problem, and they also provide a platform for improvement in Fin design of Fin in heat transfer equipment.
