Estimation of the local heat transfer coefficient in coiled tubes

Purpose Most of the passive techniques for enhancing heat transfer inside pipes (e.g. rough surfaces, swirl-flow devices and coiled tubes) give origin to an irregular distribution of the heat transfer coefficient at the fluid–wall interface along the wall perimeter. This irregular distribution could be critical in some industrial applications, but most of the available research papers, mainly due to the practical difficulty of local measuring heat flux on the internal wall surface of a pipe, present the results only in terms of Nusselt number averaged along the wall circumference. This paper aims to study the application of inverse problem solution techniques, which could overcome this limitation. Design/methodology/approach With regard to the estimation of the local convective heat transfer coefficient in coiled tubes, two different inverse heat conduction problem solution techniques were considered and compared both by synthetic and experimental data. Findings The paper shows the success of two inverse problem solution techniques in the estimation of the local convective heat transfer coefficient in coiled tubes. Originality/value This paper fulfills an identified need because most of the available research papers present the results only in terms of average thermal performance, neglecting local behavior.

[1]  Arthur E. Bergles,et al.  Experimental Investigation of Combined Forced and Free Laminar Convection in Horizontal Tubes , 1975 .

[2]  Y. Lee,et al.  Effect of peripheral wall conduction on heat transfer from a cylinder in cross flow , 1976 .

[3]  S. Aiba,et al.  An Experimental Investigation of Heat Transfer Around A Tube in A Bank , 1976 .

[4]  V. A. Morozov,et al.  Methods for Solving Incorrectly Posed Problems , 1984 .

[5]  B. Blackwell,et al.  Inverse Heat Conduction: Ill-Posed Problems , 1985 .

[6]  J. Taler.  Nonlinear steady-state inverse heat conduction problem with space-variable boundary conditions , 1992 .

[7]  Diego A. Murio,et al.  The Mollification Method and the Numerical Solution of Ill-Posed Problems , 1993 .

[8]  M. A. Ebadian,et al.  Laminar forced convection in a helicoidal pipe with finite pitch , 1995 .

[9]  Per Christian Hansen,et al.  Rank-Deficient and Discrete Ill-Posed Problems , 1996 .

[10]  Fabio Bozzoli,et al.  Wiener filtering technique applied to thermographic data reduction intended for the estimation of plate fins performance , 2004 .

[11]  Somchai Wongwises,et al.  A review of flow and heat transfer characteristics in curved tubes , 2006 .

[12]  J. Taler,et al.  Determination of local heat transfer coefficient from the solution of the inverse heat conduction problem , 2007 .

[13]  Fermín S. V. Bazán,et al.  Fixed-point iterations in determining the Tikhonov regularization parameter , 2008 .

[14]  Denis Maillet,et al.  A two-step regularized inverse solution for 2-D heat source reconstruction , 2008 .

[15]  Juliano B. Francisco,et al.  An improved fixed-point algorithm for determining a Tikhonov regularization parameter , 2009 .

[16]  Leonardo S. Borges,et al.  GKB-FP: an algorithm for large-scale discrete ill-posed problems , 2010 .

[17]  Kannan N. Iyer,et al.  CFD analysis of single-phase flows inside helically coiled tubes , 2010, Comput. Chem. Eng..

[18]  B. Blackwell,et al.  A technique for uncertainty analysis for inverse heat conduction problems , 2010 .

[19]  Giovanni Maria Carlomagno,et al.  Infrared thermography for convective heat transfer measurements , 2010 .

[20]  Fabio Bozzoli,et al.  Numerical analysis of convective heat transfer enhancement in swirl tubes , 2011 .

[21]  H. Orlande.  Thermal measurements and inverse techniques , 2011 .

[22]  Woojin Lee,et al.  Enhanced Degradation of TNT and RDX by Bio-reduced Iron Bearing Soil Minerals , 2012 .

[23]  Michel Grédiac,et al.  Heat source reconstruction from noisy temperature fields using an optimised derivative Gaussian filter , 2013 .

[24]  Fabio Bozzoli,et al.  Experimental validation of the filtering technique approach applied to the restoration of the heat source field , 2013 .

[25]  Fabio Bozzoli,et al.  Compound convective heat transfer enhancement in helically coiled wall corrugated tubes , 2013 .

[26]  Fabio Bozzoli,et al.  Estimation of the local heat-transfer coefficient in the laminar flow regime in coiled tubes by the Tikhonov regularisation method , 2014 .

[27]  Keith A. Woodbury,et al.  Real time solution for inverse heat conduction problems in a two-dimensional plate with multiple heat fluxes at the surface , 2015 .

[28]  Felix Hueber,et al.  Principles Of Enhanced Heat Transfer , 2016 .