# A NUMERICAL ANALYSIS OF A CONVECTIVE STRAIGHT FIN WITH TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY

## Main Article Content

## Abstract

In this paper, heat transfer characteristics of a straight fin having temperature-dependent thermal conductivity were computed by using three dimensional CFD analysis and MATLAB differential equation solver. The computations were performed with two different cases having both constant and linear function for thermal conductivity property. The CFD and MATLAB results were in good agreement with the data available in the literature. With the help of using these numerical techniques, fin efficiency can be improved and heat transfer rate of fins can be augmented by changing fin materials with variable thermal properties and air flow conditions. Application of the proposed method can be effectively extended to solve the class of similar nonlinear fin problems in engineering and sciences.

## Article Details

**Thermal Science**, [S.l.], mar. 2017. ISSN 2334-7163. Available at: <http://thermal-science.tech/journal/index.php/thsci/article/view/2103>. Date accessed: 14 dec. 2017. doi: https://doi.org/10.2298/TSCI141201055S.

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Accepted 2017-03-13

Published 2017-03-13

## References

[2] Abu-Eishah, S.I., Correlations for the thermal conductivity of metals as a function of temperature, International Journal of Thermophysics, 22 (2001), pp.1855-1868.

[3] Moitsheki R.J., Rowjee A., Steady Heat Transfer through a Two-Dimensional Rectangular Straight Fin, Math. Problems in Engineering, (2011), Article ID 826819, 13 pages, doi:10.1155/2011/826819

[4] Kulkarni, D.B., and Joglekar, M.M., Residue minimization technique to analyze the efficiency of convective straight fins having temperature-dependent thermal conductivity, Applied Mathematics and Computation, 215 (2009), pp. 2184-2191.

[5] Hayat, T., Imtiaz, M, Alsaedi, A., Mansoor, R., MHD flow of nanofluids over an exponentially stretching sheet in a porous medium with convective boundary conditions, Chin. Phys. B, 23(5) (2014), pp. 054701 1-8.

[6] Sheikholeslami, M., Ganji, D.D., Three dimensional heat and mass transfer in a rotating system using nanofluid, Powder Technology, 253 (2014), pp.789–796.

[7] Sheikholeslami M., Gorji-Bandpy, M., Free convection of ferrofluid in a cavity heated from below in the presence of an external magnetic field, Powder Technology, 256 (2014), pp. 490–498.

[8] Duan, J.S., Wang, Z., Fu, S.Z., Chaolu, T., Parametrized temperature distribution and efficiency of convective straight fins with temperature-dependent thermal conductivity by a new modified decomposition method, International journal of Heat and Mass Transfer, 59 (2013), pp. 137-143.

[9] Arslanturk, C., A decomposition method for fin efficiency of convective straight fins with temperature- dependent thermal conductivity, Int.Com.in Heat and Mass Trans. 32 (2005),pp. 835-841.

[10] Ndlovu, P.L. and Moitsheki, R.J., Analytical solutions for steady heat transfer in longitudinal fins with temperature-dependent properties, Mathematical Problems in Engineering, Hindawi Publishing Corporation, (2013), Article ID 273052, url: http://dx.doi.org/10.1155/2013/273052.

[11] Ledari,S.T., Mirgolbabaee, H., Ganji , D.D., Heat transfer analysis of a fin with temperature dependent thermal conductivity and heat transfer coefficient, New Trends in Mathematical Sciences, 3 (2015), 2, pp.55-69.

[12] Domairry G., Fazeli M., Homotopy analysis method to determine the fin effciency of convective straight fins with temperaturedependent thermal conductivity, Communica-tions in Nonlinear Science and Numerical Simulation 14 (2009), 2, pp. 489–499.

[13] Joneidi, A.A., Ganji, D.D., Babaelahi, M., Differential trans-formation method to determine fin efficiency of convective straight fins with temperature dependent thermal conductiv-ity, International Communications in Heat and Mass Transfer 36 (2009), 7, pp.757–762.

[14] Aziz A., Hug S.M.E., Perturbation solution for convecting fin with variable thermal conductivity, Journal of Heat Transfer, Trans ASME 97 (1975), pp.300–301.

[15] Coskun S.B., Atay M.T., Analysis of convective straight and radial fins with temperature-dependent thermal conductivity using variational iteration method with comparison with respect to finite element analysis, Math ProbEng (2007): ID 42072.

[16] Coskun S.B., Atay M.T., Fin efficiency analysis of convective straight fins with temperature-dependent thermal conductivity using variational iteration method, Appl Therm Eng 28 (2008), pp.2345–52.

[17] Ghasemi, S.E., Hatami, M., Ganji D.D., Thermal analysis of convective fin with temperature-dependent thermal conductivity and heat generation, Case Stud.in Therm. Eng. 4 (2014), pp.1–8.

[18] Poozesh, S., Nabi, S., Saber, M., Dinarvand, S., Fani, B., The Efficiency of Convective-radiative Fin with Temperature-dependent Thermal Conductivity by the Differential Transformation Method, Research Journal of Applied Sciences, Engineering and Technology 6 (2013), 8, pp. 1354-1359.

[19] Hung, H.M., Appl, F.C., Heat transfer of thin fins with temperature-dependent thermal properties and internal heat generation, J. Heat Transfer, 89 (1967), 2, pp. 155-162.

[20] Chiu, C.H., Chen, C.K., A decomposition method for solving the convective longitudinal fins with variable thermal conductivity, Int. J. Heat Mass Transfer 45 (2002), pp.2067-2075.

[21] Ganji D.D., Ganji Z.Z., Ganji H.D. , Determination of temperature distribution for annular fins with temperature dependent thermal conductivity by HPM, Thermal Science 15(1) (2011) pp.111-115.

[22] Mishra, A.K., Nawal, S., Thundil Karuppa Raj, R., Heat transfer augmentation of air cooled internal combustion engine using fins through numerical techniques, Research journal of Engineering Sciences, 1 (2012), 2, pp. 32-40.

[23] Magarajan, U., Thundil Karuppa Raj, R., Elango, T., Numerical study on heat transfer of internal combustion engine cooling by extended fins using CFD, Research journal of Recent Sciences,1 (2012), 6, pp. 32-37.

[24] Agarwal, P., Shrikhande, M., and Srinivasan, P., Heat transfer simulation by CFD from fins of an air cooled motorcycle engine under varying climatic conditions, Proceedings, World congress on Engineering WCE, London U.K., ISBN: 978-988-19251-5-2, 2011, Vol.3.

[25] Giri, A., and Jilani, S.A.K., Evaluation of the performance of annular composite fin using Ansys, International Journal of Computer Applications, 44 (15) (2012).

[26] Hwang S.W., Kim D.H., Min J.K., Jeong J.H., CFD analysis of fin tube heat exchanger with a pair of delta winglet vortex generators, Journal of Mechanical Science and Technology, 26 (9) (2012), pp. 2949-2958.

[27] Ansys, Fluent Theory Guide, Canonsburg, PA 15317, Ansys Inc., Release 14.5, October, 2012.

[28] MATLAB R2013a, User Guide, February 15, 2013.