Heat transfer study in a convective-radiative fin with temperature-dependent thermal conductivity and magnetic field using variation parameters method

• Autorzy: Sobamowo G. , Jayesimi L. , Femi-Oyetoro J.

Identyfikatory

DOI

10.17512/jamcm.2017.3.08

• Języki publikacji: EN

Abstrakty

EN

In this work, a heat transfer study is carried out in a convective-radiative straight fin with temperature-dependent thermal conductivity and a magnetic field using the variation of parameters method. The developed heat transfer model is used to analyze the thermal performance, establish the optimum thermal design parameters and investigate the effects of thermo-geometric parameters and non-linear thermal conductivity parameters on the thermal performance of the fin. The results obtained are compared with the results in literature and good agreements are found. The analysis can serve as basis for comparison of any other method of analysis of the problem and it also provides a platform for improvement in the design of fin in heat transfer equipment.

Słowa kluczowe

EN

heat transfer study; convective-radiative fin; variation of parameters method; temperature-dependent thermal conductivity; magnetic field

PL

wymiana ciepła; przewodność cieplna; żebro

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2017
• Tom: Vol. 16, nr 3
• Strony: 85--96
• Opis fizyczny: Bibliogr. 30 poz., rys., tab.

Twórcy

autor

Sobamowo G.

• Department of Mechanical Engineering, University of Lagos

autor

Jayesimi L.

• Works and Physical Planning Department, University of Lagos Akoka, Lagos, Nigeria

autor

Femi-Oyetoro J.

• Department of Mechanical Engineering, University of Ibadan Oyo, Nigeria

Bibliografia

• [1] Aziz A., Enamul-Huq S.M., Perturbation solution for convecting fin with temperature dependent thermal conductivity, J. Heat Transfer 1973, 97, 300-301.
• [2] Aziz, A. Perturbation solution for convecting fin with internal heat generation and temperature dependent thermal conductivity, Int. J. Heat Mass Transfer 1977, 20, 1253-5.
• [3] Campo A., Spaulding R.J., Coupling of the methods of successive approximations and undetermined coefficients for the prediction of the thermal behaviour of uniform circumferential fins, Heat and Mass Transfer 1999, 34, 6, 461-468.
• [4] Ching-Huang Chiu, Cha’o-Kuang Chen, A decomposition method for solving the convectice longitudinal fins with variable thermal conductivity, Int. J. Heat and Mass Transfer 2002, 45, 2067-2075.
• [5] Arslanturk A., A decomposition method for fin efficiency of convective straight fin with temperature dependent thermal conductivity, Int. Commun. Heat Mass Transfer 2005, 32, 831-841.
• [6] Ganji D.D., The application of He’s homotopy perturbation method to nonlinear equations arising in heat transfer, Phys. Lett. 2006, A355, 337-341.
• [7] He J.H., Homotopy perturbation method, Comp. Methods Appl. Mech. Eng. 1999, 178, 257-262.
• [8] Chowdhury M.S.H., Hashim I., Analytical solutions to heat transfer equations by homotopyperturbation method revisited, Physical Letters 2008, A372, 1240-1243.
• [9] Rajabi A., Homotopy perturbation method for fin efficiency of convective straight fins with temperature dependent thermal conductivity, Physics Letters 2007, A364, 33-37.
• [10] Mustafa Inc, Application of homotopy analysis method for fin efficiency of convective straight fin with temperature dependent thermal conductivity, Mathematics and Computers Simulation 2008, 79, 189-200.
• [11] Coskun S.B., Atay M.T., Analysis of convective straight and radial fins with temperature dependent thermal conductivity using variational iteration method with comparision with respect to finite element analysis, Mathematical Problem in Engineering, vol. 2007, Article ID 42072.
• [12] Languri E.M., Ganji D.D., Jamshidi N., Variational iteration and homotopy perturbation methods for fin efficiency of convective straight fins with temperature dependent thermal conductivity, 5th WSEAS Int. Conf. on Fluid Mechanics (fluids 08), Acapulco, Mexico 2008, January 25-27.
• [13] Coskun S.B., Atay M.T., Fin efficiency analysis of convective straight fin with temperature dependent thermal conductivity using variational iteration method, Appl. Therm. Eng. 2008, 28, 2345-2352.
• [14] Atay M.T., Coskun S.B., Comparative analysis of power-law fin-type problems using variational iteration method and finite element method, Mathematical Problems in Engineering 2008, Article ID 635231.
• [15] Domairry G., Fazeli M., Homotopy analysis method to determine the fin efficiency of convective straight fins with temperature dependent thermal conductivity, Communication in Nonlinear Science and Numerical Simulation 2009, 14, 489-499.
• [16] Hosseini K., Daneshian B., Amanifard N., Ansari R., Homotopy analysis method for a fin with temperature dependent internal heat generation and thermal conductivity, International Journal of Nonlinear Science 2012, 14, 2, 201-210.
• [17] Joneidi A.A., Ganji D.D., Babaelahi M., Differential Transformation Method to determine fin efficiency of convective straight fins with temperature dependent thermal conductivity, International Communication in Heat and Mass Transfer 2009, 36, 757-762.
• [18] Moradi A., Ahmadikia H., Analytical solution for different profiles of fin with temperature dependent thermal conductivity, Hindawi Publishing Corporation Mathematical Problem in Engineering, vol. 2010, Article ID 568263, 15.
• [19] Moradi A., Ahmadikia H., Investigation of effect thermal conductivity on straight fin performance with DTM, International Journal of Engineering and Applied Sciences (IJEAS) 2011, 1, 42-54.
• [20] Mosayebidorcheh S., Ganji D.D., Masoud Farzinpoor, Approximate solution of the nonlinear heat transfer equation of a fin with the power-law temperature-dependent thermal conductivity and heat transfer coefficient, Propulsion and Power Reasearch 2014, 41-47.
• [21] Ghasemi S.E., Hatami M., Ganji D.D., Thermal analysis of convective fin with temperaturedependent thermal conductivity and heat generation, Cases Studies in Thermal Engineering 2014, 4, 1-8.
• [22] Sadri S., Raveshi M.R., Amiri S., Efficiency analysis of straight fin with variable heat transfer coefficient and thermal conductivity, Journal of Mechanical Science and Technology 2012, 26, 4, 1283-1290.
• [23] Ganji D.D., Dogonchi A.S., 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 2014, 9(21), 466-474.
• [24] Ledari S.T., Mirgolbabaee H., Ganji D.D., Heat transfer analysis of a fin with temperature dependent thermal conductivity and heat transfer coefficient, NTMSCI 2015, 3(2), 55-69.
• [25] Sobamowo M.G., Thermal analysis of longitudinal fin with temperature-dependent properties and internal heat generation using Galerkin’s method of weighted residual, Applied Thermal Engineering 2016, 99, 1316-1330.
• [26] Fernandez A., On some approximate methods for nonlinear models, Appl. Math. Comput. 2009, 215, 168-174.
• [27] Aziz A., Bouaziz M.N., A least squares method for a longitudinal fin with temperature dependent internal heat generation and thermal conductivity, Energy Conversion and Management 2011, 52, 2876-2882.
• [28] Mohyud-din S.T., Noor M.A., Waheed A., Variation of parameters method for solving sixthorder boundary value problems commun, Korean Math. Soc. 2009, 24, 4, 605-615.
• [29] Mohyud-Din S.T., Noor M.A., Noor K.I., Modified variation of parameters method for solving partial differential equations, Int. J. Mod. Phys. 2009, B.
• [30] Mohyud-Din S.T., Noor M.A., Noor K.I., Waheed A., Modified variation of parameters method for solving nonlinear boundary value problems, Int. J. Mod. Phys. 2009, B.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).