Direct and inverse approaches for analysis and optimization of fins under sensible and latent heat load

Abstract An inverse methodology is introduced by differential evolution (DE) search algorithm to determine optimal dimensions of a wet fin for a given volume for to maximize heat transfer rate. The DE optimization method is first employed to explore multiple combinations of geometrical fin parameters satisfying a constraint volume. The pertinent rates of heat transfer are computed using a forward analysis based on the differential transform method. In this study for a fixed fin volume, a same value of heat transfer rate in wet fins can be acquired for multiple values of surface areas, and also, even a given surface area can yield multiple values of heat transfer rates. Hence, the local temperature distribution acts as an important factor in selecting a unique set of fin dimensions towards maximizing the rate of heat transfer. The evaluation of sensitivity coefficients reveals that among various geometric parameters, the fin thickness plays an influential role significantly to govern the heat transfer rate.

[1]  S. C. Martha,et al.  Inverse analysis of conductive-convective wet triangular fin for predicting thermal properties and fin dimensions , 2014 .

[2]  Balaram Kundu An analytical study of the effect of dehumidification of air on the performance and optimization of straight tapered fins , 2002 .

[3]  S. Wongwises,et al.  Actual dry-bulb temperature and equivalent dry-bulb temperature methods for wavy fin-and-tube heat exchangers with dehumidification , 2017 .

[4]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[5]  Balaram Kundu,et al.  Analytic solution for heat transfer of wet fins on account of all nonlinearity effects , 2012 .

[6]  Haw Long Lee,et al.  Inverse problem in determining convection heat transfer coefficient of an annular fin , 2007 .

[7]  Do Hyung Choi,et al.  Analysis of heat-transfer performance of cross-flow fin-tube heat exchangers under dry and wet conditions , 2012 .

[8]  Guoliang Ding,et al.  Airside heat transfer and friction characteristics for enhanced fin-and-tube heat exchanger with hydrophilic coating under wet conditions , 2007 .

[9]  M. Turkyilmazoglu A direct solution of temperature field and physical quantities for the nonlinear porous fin problem , 2017 .

[10]  H. Orlande,et al.  A function estimation approach for determining temperature-dependent thermophysical properties , 1996 .

[11]  Chi-Chuan Wang,et al.  Performance of Rectangular Fin in Wet Conditions: Visualization and Wet Fin Efficiency , 2001 .

[12]  Ranjan Das,et al.  Application of homotopy analysis method and inverse solution of a rectangular wet fin , 2014 .

[13]  Syed M. Zubair,et al.  Performance and optimum geometry of spines with simultaneous heat and mass transfer , 2009 .

[14]  S. Y. Liang,et al.  Analytical study of evaporator coil in humid environment , 1999 .

[15]  G. Neuer,et al.  Electrical Resistivity and Thermal Conductivity of Pure Aluminum and Aluminum Alloys up to and above the Melting Temperature , 2007 .

[16]  Fatma Ayaz,et al.  Solutions of the system of differential equations by differential transform method , 2004, Appl. Math. Comput..

[17]  Han-Taw Chen,et al.  Estimation of heat-transfer characteristics on a fin under wet conditions , 2008 .

[18]  Mostafa H. Sharqawy,et al.  Efficiency and optimization of straight fins with combined heat and mass transfer – An analytical solution , 2008 .

[19]  R. Storn,et al.  Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series) , 2005 .

[20]  R. Das,et al.  Application of artificial bee colony algorithm for maximizing heat transfer in a perforated fin , 2018 .

[21]  Balaram Kundu,et al.  Exact analysis for minimum shape of porous fins under convection and radiation heat exchange with surrounding , 2015 .

[22]  Xin-She Yang,et al.  Nature-Inspired Optimization Algorithms: Challenges and Open Problems , 2020, J. Comput. Sci..

[23]  Kuljeet Singh,et al.  Estimation of critical dimensions for a trapezoidal-shaped steel fin using hybrid differential evolution algorithm , 2017, Neural Computing and Applications.

[24]  An inverse problem in determining the optimum shapes for partially wet annular fins based on efficiency maximization , 2015 .

[25]  Syed M. Zubair,et al.  Efficiency and optimization of an annular fin with combined heat and mass transfer – An analytical solution , 2007 .

[26]  Kwan-Soo Lee,et al.  The effect of arc length on the least-volume fin under sensible and latent heat loads , 2013 .

[27]  S. Wongwises,et al.  Efficiencies for Partially Wetted Spine Fins: Uniform Cross Section, Conical, Concave Parabolic, and Convex Parabolic Spines , 2013 .

[28]  B. Kundu Performance and optimization analysis of SRC profile fins subject to simultaneous heat and mass transfer , 2007 .

[29]  Xiao Wang,et al.  The heat transfer optimization of conical fin by shape modification , 2016 .

[30]  Kwan-Soo Lee,et al.  Thermal design of an orthotropic flat fin in fin-and-tube heat exchangers operating in dry and wet environments , 2011 .

[31]  Somchai Wongwises,et al.  Partially wet fin efficiency for the longitudinal fins of rectangular, triangular, concave parabolic, and convex parabolic profiles , 2013, J. Frankl. Inst..

[32]  Mustafa Turkyilmazoglu,et al.  Condensation of laminar film over curved vertical walls using single and two-phase nanofluid models , 2017 .

[33]  Paisarn Naphon,et al.  Study on the heat transfer characteristics of the annular fin under dry-surface, partially wet-surface, and fully wet-surface conditions☆ , 2006 .

[34]  M. Turkyilmazoglu Efficiency of heat and mass transfer in fully wet porous fins: Exponential fins versus straight fins , 2014 .

[35]  Davood Domiri Ganji,et al.  Investigation of refrigeration efficiency for fully wet circular porous fins with variable sections by combined heat and mass transfer analysis , 2014 .

[36]  R. Das Three-Parameter Estimation Study in a Radial Fin Geometry Using FDM-Based Simplex Method , 2014 .

[37]  M. Turkyilmazoglu Exact solutions to heat transfer in straight fins of varying exponential shape having temperature dependent properties , 2012 .

[38]  Somchai Wongwises,et al.  Finite circular fin method for wavy fin-and-tube heat exchangers under fully and partially wet surface conditions , 2008 .

[39]  Kim Tiow Ooi,et al.  Predicting multiple combination of parameters for designing a porous fin subjected to a given temperature requirement , 2013 .

[40]  C. Arslanturk A decomposition method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity , 2005 .

[41]  Syed M. Zubair,et al.  Thermal performance and optimization of hyperbolic annular fins under dehumidifying operating conditions – analytical and numerical solutions , 2016 .

[42]  Balaram Kundu,et al.  Analysis of thermal performance and optimization of concentric circular fins under dehumidifying conditions , 2009 .

[43]  J. Hadamard Sur les problemes aux derive espartielles et leur signification physique , 1902 .

[44]  R. Das,et al.  A simplex search method for a conductive–convective fin with variable conductivity , 2011 .

[45]  A. M. Dunker The decoupled direct method for calculating sensitivity coefficients in chemical kinetics , 1984 .

[46]  J E R Coney,et al.  Dehumidification of Turbulent Air Flow over a Thick Fin: An Experimental Study , 1989 .

[47]  Balaram Kundu,et al.  A proper analytical analysis of annular step porous fins for determining maximum heat transfer , 2016 .

[48]  Ranjan Das,et al.  Identification of materials in a hyperbolic annular fin for a given temperature requirement , 2016 .

[49]  Suhil Kiwan,et al.  Effect of radiative losses on the heat transfer from porous fins , 2007 .

[50]  Kuljeet Singh,et al.  Simultaneous optimization of performance parameters and energy consumption in induced draft cooling towers , 2017 .

[51]  E. Jaynes The well-posed problem , 1973 .

[52]  J E R Coney,et al.  Dehumidification of Air on a Vertical Rectangular Fin: A Numerical Study , 1989 .

[53]  Kwan-Soo Lee,et al.  Characteristics and performance evaluation of surface-treated louvered-fin heat exchangers under frosting and wet conditions , 2012 .