Inverse analysis of conductive-convective wet triangular fin for predicting thermal properties and fin dimensions

References

• Kern QD, Kraus AD. Extended surface heat transfer. New York: McGraw-Hill; 1972.
   Google Scholar
• Kundu B, Barman D, Debnath S. An analytical approach for predicting fin performance of triangular fins subject to simultaneous heat and mass transfer. Int. J. Refrig. 2008;31:1113–1120.10.1016/j.ijrefrig.2008.01.007
   Web of Science ®Google Scholar
• Elshafei EAM. Natural convection heat transfer from a heat sink with hollow/perforated circular pin fins. Energy. 2010;35:2870–2877.10.1016/j.energy.2010.03.016
   Web of Science ®Google Scholar
• Lin CN, Jang JY. A two-dimensional fin efficiency analysis of combined heat and mass transfer in elliptic fins. Int. J. Heat Mass Transfer. 2002;45:3839–3847.10.1016/S0017-9310(02)00086-8
   Web of Science ®Google Scholar
• Sharqawy MH, Zubair SM. Efficiency and optimization of straight fins with combined heat and mass transfer – an analytical solution. Appl. Therm. Eng. 2008;28:2279–2288.10.1016/j.applthermaleng.2008.01.003
   Web of Science ®Google Scholar
• Kundu B, Lee KS. Analytic solution for heat transfer of wet fins on account of all nonlinearity effects. Energy. 2012;41:354–367.10.1016/j.energy.2012.03.004
   Web of Science ®Google Scholar
• Toner M, Kilic A, Onat K. Comparison of rectangular and triangular fins when condensation occurs. Wame Stoffubertragung. 1983;17:65–72.10.1007/BF01007220
   Web of Science ®Google Scholar
• Lin YT, Hsu KC, Chang YJ, Wang CC. Performance of rectangular fin in wet conditions: visualization and wet fin efficiency. J. Heat Transfer. 2001;123:827–836.10.1115/1.1391275
   Web of Science ®Google Scholar
• Chen HT, Wang HC. Estimation of heat-transfer characteristics on a fin under wet conditions. Int. J. Heat Mass Transfer. 2008;51:2123–2138.10.1016/j.ijheatmasstransfer.2007.11.011
   Web of Science ®Google Scholar
• Snider AD, Kraus AD. The quest for the optimum longitudinal fin profile. Heat Transfer Eng. 1987;8:19–25.10.1080/01457638708962790
   Google Scholar
• Aziz A, Nguyen H. Two-dimensional performance of convecting-radiating fins of different profile shapes. Heat Mass Transfer. 1993;28:481–487.
   Google Scholar
• Coney JER, Kazeminejad H, Sheppard CGW. Dehumidification of air on a vertical rectangular fin: a numerical study. Proc. Inst. Mech. Eng., J. Mechanical Eng. Sci. 1989;203:165–175.10.1243/PIME_PROC_1989_203_101_02
   Web of Science ®Google Scholar
• Wu G, Bong TY. Overall efficiency of a straight fin with combined heat and mass transfer. ASHRAE Trans. 1994;100:367–374.
   Google Scholar
• Salah El-Din MM. Performance analysis of partially-wet fin assembly. Appl. Therm. Eng. 1998;18:337–349.10.1016/S1359-4311(97)00076-8
   Web of Science ®Google Scholar
• Kundu B, Das PK. Performance and optimization analysis for fins of straight taper with simultaneous heat and mass transfer. J. Heat Transfer. 2004;126:862–868.10.1115/1.1798911
   Web of Science ®Google Scholar
• Liang SY, Liu M, Wong TN, Nathan GK. Analytical study of evaporator coil in humid environment. Appl. Therm. Eng. 1999;19:1129–1145.10.1016/S1359-4311(98)00109-4
   Web of Science ®Google Scholar
• Kundu B. Approximate analytic solution for performances of wet fins with a polynomial relationship between humidity ratio and temperature. Int. J. Therm. Sci. 2009;48:2108–2118.10.1016/j.ijthermalsci.2009.03.005
   Web of Science ®Google Scholar
• Eder H. Dimensioning of fins with general nonlinear cooling laws. Wame Stoffubertragung. 1973;6:86–91.10.1007/BF01817973
   Google Scholar
• Kilic A, Onat K. The optimum shape for convecting rectangular fins when condensation occurs. Wame Stoffubertragung. 1981;15:125–133.10.1007/BF01002408
   Web of Science ®Google Scholar
• Kundu B, Lee KS. A novel analysis for calculating the smallest envelope shape of wet fins with a nonlinear mode of surface transport. Energy. 2012;44:527–543.
   Web of Science ®Google Scholar
• Liang SY, Wong TN, Nathan GK. Comparison of one-dimensional and two-dimensional models for wet-surface fin efficiency of a plate-fin-tube heat exchanger. Appl. Therm. Eng. 2000;20:941–962.10.1016/S1359-4311(99)00078-2
   Web of Science ®Google Scholar
• Naphon P. Study on the heat transfer characteristics of the annular fin under dry-surface, partially wet-surface, and fully wet-surface conditions. Int. Commun. Heat Mass Transfer. 2006;33:112–121.10.1016/j.icheatmasstransfer.2005.08.009
   Web of Science ®Google Scholar
• Liao SJ. Beyond perturbation: introduction to the homotopy analysis method. Boca Raton, FL: Chapman & Hall; 2003.10.1201/CHMODMECMTH
   Google Scholar
• Inc M. Application of homotopy analysis method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity. Math. Comput. Simul. 2008;79:189–200.10.1016/j.matcom.2007.11.009
   Web of Science ®Google Scholar
• Domairry G, Fazeli M. Homotopy analysis method to determine the fin efficiency of convective straight fins with temperature-dependent thermal conductivity. Commun. Nonlinear Sci. Numer. Simul. 2009;14:489–499.10.1016/j.cnsns.2007.09.007
   Web of Science ®Google Scholar
• Khani F, Ahmadzadeh RM, Nejad HH. Analytical solutions and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient. Commun. Nonlinear Sci. Numer. Simulat. 2009;14:3327–3338.10.1016/j.cnsns.2009.01.012
   Web of Science ®Google Scholar
• Khani F, Aziz A. Thermal analysis of a longitudinal trapezoidal fin with temperature-dependent thermal conductivity and heat transfer coefficient. Commun. Nonlinear Sci. Numer. Simul. 2010;15:590–601.10.1016/j.cnsns.2009.04.028
   Web of Science ®Google Scholar
• Kim KW, Baek SW, Kim MY, Ryou HS. Estimation of emissivities in a two-dimensional irregular geometry by inverse radiation analysis using hybrid genetic algorithm. J. Quant. Spectrosc. Radiat. Transfer. 2004;87:1–14.10.1016/j.jqsrt.2003.08.012
   Web of Science ®Google Scholar
• Verma S, Balaji C. Multi-parameter estimation in combined conduction–radiation from a plane parallel participating medium using genetic algorithms. Int. J. Heat Mass Transfer. 2007;50:1706–1714.10.1016/j.ijheatmasstransfer.2006.10.045
   Web of Science ®Google Scholar
• Lee HL, Chang WJ, Chen WL, Yang YC. Inverse heat transfer analysis of a functionally graded fin to estimate time-dependent base heat flux and temperature distributions. Energy Convers. Manage. 2012;57:1–7.10.1016/j.enconman.2011.12.002
   Web of Science ®Google Scholar
• Chen WL, Yang YC, Lee HL. Inverse problem in determining convection heat transfer coefficient of an annular fin. Energy Convers. Manage. 2007;48:1081–1088.10.1016/j.enconman.2006.10.016
   Web of Science ®Google Scholar
• Chen UC, Chang WJ, Hsu JC. Two-dimensional inverse problem in estimating heat flux of pin fins. Int. Comm. Heat Mass Transfer. 2001;28:793–801.10.1016/S0735-1933(01)00283-4
   Web of Science ®Google Scholar
• Lee HL, Chou HM, Yang YC. The function estimation in predicting heat flux of pin fins with variable heat transfer coefficients. Energy Convers. Manage. 2004;45:1749–1758.10.1016/j.enconman.2003.09.017
   Web of Science ®Google Scholar
• Bodla KK, Murthy JY, Garimella SV. Optimization under uncertainty applied to heat sink design. J. Heat Transfer. 2013;135:1–13.
   Web of Science ®Google Scholar
• Bueno SS, Dias JP, Seixlack AL, Aparecido JB. Levenberg-Marquardt application to two-phase nonlinear parameter estimation for finned-tube coil evaporators. Math. Probl. Eng. 2006;2006:1–13.10.1155/MPE/2006/48542
   Web of Science ®Google Scholar
• Das R, Ooi KT. Application of simulated annealing in a rectangular fin with variable heat transfer coefficient. Inverse Prob. Sci. Eng. 2013; 21:1352-1367. doi:10.1080/17415977.2013.764294.
   Web of Science ®Google Scholar
• Bhowmik A, Singla RK, Roy PK, Prasad DK, Das R, Repaka R. Predicting geometry of rectangular and parabolic fin profiles with temperature dependent thermal properties using decomposition and evolutionary methods. Energy Convers. Manage. 2013;74:535–547.10.1016/j.enconman.2013.07.025
   Web of Science ®Google Scholar
• Das R. Application of genetic algorithm for unknown parameter estimations in cylindrical fin. Appl. Soft Comput. 2012;12:3369–3378.10.1016/j.asoc.2012.07.005
   Web of Science ®Google Scholar
• Singla RK, Das R. Application of Adomian decomposition method and inverse solution for a fin with variable thermal conductivity and heat generation. Int. J. Heat Mass Transfer. 2013;66:496–506.10.1016/j.ijheatmasstransfer.2013.07.053
   Web of Science ®Google Scholar
• Mohsin S, Maqbool A, Khan WA. Optimization of cylindrical pin-fin heat sink using genetic algorithms. IEEE Trans. Compon. Pack. T. 2009;32:44–52.10.1109/TCAPT.2008.2004412
   Web of Science ®Google Scholar
• Das R. A simplex search method for a conductive-convective fin with variable conductivity. Int. J. Heat Mass Transfer. 2011;54:5001–5009.10.1016/j.ijheatmasstransfer.2011.07.014
   Web of Science ®Google Scholar
• Garrison SL, Hardy BJ, Gorbounov MB, Tamburello DA, Corgnale C, VanHassel BA, Mosher DA, Anton DL. Optimization of internal heat exchangers for hydrogen storage tanks utilizing metal hydrides. Int. J. Hydrogen Energy. 2012;37:2850–2861.10.1016/j.ijhydene.2011.07.044
   Web of Science ®Google Scholar
• Kulkarni DB, Joglekar MM. Residue minimization technique to analyze the efficiency of convective straight fins having temperature-dependent thermal conductivity. Appl. Math. Comput. 2009;215:2184–2191.10.1016/j.amc.2009.08.011
   Web of Science ®Google Scholar
• Chung BTF, Zhou P. Fuzzy optimization of longitudinal rectangular fin and cylindrical spine with variable heat transfer coefficient. In Proceedings of 36th Heat Transfer and Fluid Mechanics Institute; June 3–4; Sacramento, CA; 1999; p. 47–82.
   Google Scholar
• Kundu B, Barman D. An analytical prediction for performance and optimization of an annular fin assembly of trapezoidal profile under dehumidifying conditions. Energy. 2011;36:2572–2588.10.1016/j.energy.2011.01.052
   Web of Science ®Google Scholar
• Moinuddin A, Sharqawy MH, Zubair SM. Heat and mass transfer from annular fins of different cross sectional area. Part II. Optimal dimensions of fins. Int. J. Refrig. 2012;35:377–385.10.1016/j.ijrefrig.2011.11.003
   Web of Science ®Google Scholar
• Chilton TH, Colburn AP. Mass transfer (absorption) coefficients. Ind. Eng. Chem. 1934;26:1183–1187.10.1021/ie50299a012
   Google Scholar
• Montgomery RB. Viscosity and thermal conductivity of air and diffusivity of water vapor in air. J. Meterol. 1947;4:193–196.10.1175/1520-0469(1947)004<0193:VATCOA>2.0.CO;2
   Google Scholar
• Kuehn TH, Ramsey JW, Threlkeld JL. Thermal Environmental Engineering. 3rd ed. Englewood Cliffs (NJ): Pearson Prentice Hall; 1998.
   Google Scholar
• Nelder JA, Mead R. A simplex method for function minimization. Comput. J. 1965;7:308–313.10.1093/comjnl/7.4.308
   Web of Science ®Google Scholar
• Mathews JH, Fink KD. Numerical methods using MATLAB. 4th ed. Englewood Cliffs (NJ): Prentice Hall; 2004.
   Google Scholar
• Lagarias JC, Reeds JA, Wright MH, Wright PE. Convergence properties of the Nelder–Mead simplex method in low dimensions. SIAM J. Optim. 1998;9:112–147.10.1137/S1052623496303470
   Web of Science ®Google Scholar
• McKinnon KIM. Convergence of the Nelder–Mead simplex method to a nonstationary point. SIAM J. Optim. 1998;9:148–158.10.1137/S1052623496303482
   Web of Science ®Google Scholar