Numerical Study of Heat Transfer in Rectangular Fins for Different Cases of Thermo-Physical Properties

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The present work is a contribution to the development of a calculation code that determines the temperature field on fins having rectangular geometry for any bi-dimensional or three-dimensional simulation conditions. Different cases of simulations are presented. An implicit finite volume method, unconditionally stable, is extended in this study for the discretization of the governing equations. The representative results, validated by the Ansys code, show that the fin temperature increases with the increase of the temperature values selected as the boundary conditions, with the addition of a heat flow or any additional heat source. The numerical results are very consistent with the theory and the results obtained from commercialized codes. By increasing the diffusivity one converge more quickly towards the stationary solution. Upon reducing the fin size a very drastic shift occurs from the transient regime to a permanent one. In the case of a refinement of the mesh, the use of a very small epsilon ensures the convergence. Therefore, the results obtained in this study serve as basis of comparison with any other study on heat transfer on rectangular fins.

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April 2021

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[1] B. Sahin and A. Demir, Thermal performance analysis and optimum design parameters of heat exchanger having perforated pin fins,, Energy conversion and management, vol. 49, pp.1684-1695, (2008).

DOI: 10.1016/j.enconman.2007.11.002

Google Scholar

[2] A. Baslem, G. Sowmya, B. Gireesha, B. Prasannakumara, M. Rahimi-Gorji, and N.M. Hoang, Analysis of thermal behavior of a porous fin fully wetted with nanofluids: convection and radiation,, Journal of Molecular Liquids, p.112920, (2020).

DOI: 10.1016/j.molliq.2020.112920

Google Scholar

[3] G. Sowmya, B. Gireesha, S. Sindhu, and B. Prasannakumara, Investigation of Ti6Al4V and AA7075 alloy embedded nanofluid flow over longitudinal porous fin in the presence of internal heat generation and convective condition,, Communications in Theoretical Physics, vol. 72, p.025004, (2020).

DOI: 10.1088/1572-9494/ab6904

Google Scholar

[4] G. Sowmya, B. Gireesha, and B. Prasannakumara, Scrutinization of different shaped nanoparticle of molybdenum disulfide suspended nanofluid flow over a radial porous fin,, International Journal of Numerical Methods for Heat & Fluid Flow, (2019).

DOI: 10.1108/hff-08-2019-0622

Google Scholar

[5] J. Lee and I. Mudawar, Fluid flow and heat transfer characteristics of low temperature two-phase micro-channel heat sinks–Part 1: Experimental methods and flow visualization results,, International Journal of Heat and Mass Transfer, vol. 51, pp.4315-4326, (2008).

DOI: 10.1016/j.ijheatmasstransfer.2008.02.012

Google Scholar

[6] B. Agostini, J.R. Thome, M. Fabbri, B. Michel, D. Calmi, and U. Kloter, High heat flux flow boiling in silicon multi-microchannels–Part II: Heat transfer characteristics of refrigerant R245fa,, International Journal of Heat and Mass Transfer, vol. 51, pp.5415-5425, (2008).

DOI: 10.1016/j.ijheatmasstransfer.2008.03.007

Google Scholar

[7] A. Aziz and M. Bouaziz, A least squares method for a longitudinal fin with temperature dependent internal heat generation and thermal conductivity,, Energy conversion and management, vol. 52, pp.2876-2882, (2011).

DOI: 10.1016/j.enconman.2011.04.003

Google Scholar

[8] H. Jouhara and B.P. Axcell, Modelling and simulation techniques for forced convection heat transfer in heat sinks with rectangular fins,, Simulation Modelling Practice and Theory, vol. 17, pp.871-882, (2009).

DOI: 10.1016/j.simpat.2009.02.007

Google Scholar

[9] X. Zhang and D. Liu, Optimum geometric arrangement of vertical rectangular fin arrays in natural convection,, Energy conversion and management, vol. 51, pp.2449-2456, (2010).

DOI: 10.1016/j.enconman.2010.05.009

Google Scholar

[10] F. Khani and A. Aziz, Thermal analysis of a longitudinal trapezoidal fin with temperature-dependent thermal conductivity and heat transfer coefficient,, Communications in Nonlinear Science and Numerical Simulation, vol. 15, pp.590-601, (2010).

DOI: 10.1016/j.cnsns.2009.04.028

Google Scholar

[11] B. Taufiq, H.H. Masjuki, T. Mahlia, R. Saidur, M. Faizul, and E.N. Mohamad, Second law analysis for optimal thermal design of radial fin geometry by convection,, Applied Thermal Engineering, vol. 27, pp.1363-1370, (2007).

DOI: 10.1016/j.applthermaleng.2006.10.024

Google Scholar

[12] N. Fallo, R.J. Moitsheki, and O.D. Makinde, Analysis of Heat Transfer in a Cylindrical Spine Fin with Variable Thermal Properties,, in Defect and Diffusion Forum, 2018, pp.10-22.

DOI: 10.4028/www.scientific.net/ddf.387.10

Google Scholar

[13] P.L. Ndlovu and R.J. Moitsheki, Predicting the Temperature Distribution in Longitudinal Fins of Various Profiles with Power Law Thermal Properties Using the Variational Iteration Method,, in Defect and Diffusion Forum, 2018, pp.403-416.

DOI: 10.4028/www.scientific.net/ddf.387.403

Google Scholar

[14] G.G. Botte, J.A. Ritter, and R.E. White, Comparison of finite difference and control volume methods for solving differential equations,, Computers & Chemical Engineering, vol. 24, pp.2633-2654, (2000).

DOI: 10.1016/s0098-1354(00)00619-0

Google Scholar

[15] B. Leonard, Comparison of truncation error of finite-difference and finite-volume formulations of convection terms,, Applied Mathematical Modelling, vol. 18, pp.46-50, (1994).

DOI: 10.1016/0307-904x(94)90182-1

Google Scholar

[16] J. Newman, Numerical Solution Of Coupled, Ordinary Differential Equations,, (1967).

Google Scholar

[17] J. Newman, Numerical solution of coupled, ordinary differential equations,, Industrial & Engineering Chemistry Fundamentals, vol. 7, pp.514-517, (1968).

DOI: 10.1021/i160027a025

Google Scholar

[18] S. Patankar, Numerical Heat Transfer and Fluid Flow: CRC Press,, (1980).

Google Scholar

[19] C.-H. Chiu and C. o.-K. Chen, Application of Adomian's decomposition procedure to the analysis of convective-radiative fins,, Journal of Heat transfer, vol. 125, pp.312-316, (2003).

DOI: 10.1115/1.1532012

Google Scholar

[20] D. Mueller Jr and H.I. Abu-Mulaweh, Prediction of the temperature in a fin cooled by natural convection and radiation,, Applied Thermal Engineering, vol. 26, pp.1662-1668, (2006).

DOI: 10.1016/j.applthermaleng.2005.11.014

Google Scholar

[21] L. Huang and R. Shah, Assessment of calculation methods for efficiency of straight fins of rectangular profile,, International journal of heat and fluid flow, vol. 13, pp.282-293, (1992).

DOI: 10.1016/0142-727x(92)90042-8

Google Scholar

[22] E. Sparrow and E. Niewerth, Radiating, convecting and conducting fins: Numerical and linearized solutions,, International Journal of Heat and Mass Transfer, vol. 11, pp.377-379, (1968).

DOI: 10.1016/0017-9310(68)90170-1

Google Scholar

[23] C.-H. Chiu, A decomposition method for solving the convective longitudinal fins with variable thermal conductivity,, International Journal of Heat and Mass Transfer, vol. 45, pp.2067-2075, (2002).

DOI: 10.1016/s0017-9310(01)00286-1

Google Scholar

[24] G.M. Sobamowo, B.Y. Ogunmola, and G. Nzebuka, Finite volume method for analysis of convective longitudinal fin with temperature-dependent thermal conductivity and internal heat generation,, in Defect and Diffusion Forum, 2017, pp.106-120.

DOI: 10.4028/www.scientific.net/ddf.374.106

Google Scholar

[25] E. Madenci and I. Guven, The finite element method and applications in engineering using ANSYS®: Springer, (2015).

DOI: 10.1007/978-1-4899-7550-8

Google Scholar