Experimental and numerical verification of transient spatial temperature distribution in thick-walled pressure components

The aim of this work is to present a method to determine the transient-state spatial temperature distribution in a cylindrical component. The presented method involves solving the inverse heat conduction problem based on the Finite volume method (FVM). This approach enables determination of transient-state temperature fields with boundary conditions known on one surface of the component only. The proposed method is verified using the laboratory installation located at the Cracow University of Technology. The main components of the laboratory stand are, among others, a steam outlet header and a steam boiler. During the experiment, the steam header is heated up abruptly from the inside by contact with dry saturated steam. The spatial transient-state temperature distribution within the steam outlet header is determined using the proposed method, which is based on temperature measurements made by 19 thermocouples located on the outer surface of the component. The temperature histories in three selected nodes are compared with the measurement results obtained from thermocouples located inside the component wall. The exact location of the thermocouples corresponds to the nodal position at selected control volumes. Moreover, the Ansys Mechanical APDL software is used to verify calculations and experimental data. A transient- state simulation is performed. The temperature histories at the inner and outer surfaces are set as the model boundary conditions. In order to enable verification of the temperature measurements, the component discrete model includes nodes at appropriate locations. An error analysis is performed between calculated and measured temperature values. The results obtained from the numerical and experimental validation demonstrate fully satisfactory agreement. Additionally, a stress analysis of the outlet header is performed in the Ansys software based on the transient-state temperature distribution within the steam outlet header. The method proposed in this paper is a convenient and accurate tool for monitoring working conditions of the power boiler thick-walled components.

[1]  J. K. Chen,et al.  Inverse Heat Conduction in a Composite Slab With Pyrolysis Effect and Temperature-Dependent Thermophysical Properties , 2010 .

[2]  Yi Zhang,et al.  A two-dimensional inverse heat conduction problem in estimating the fluid temperature in a pipeline , 2010 .

[3]  Woo Il Lee,et al.  Solution of inverse heat conduction problems using maximum entropy method , 2002 .

[4]  Farshad Kowsary,et al.  Direct estimation of local convective boiling heat transfer coefficient in mini-channel by using conjugated gradient method with adjoint equation☆ , 2014 .

[5]  Fung-Bao Liu,et al.  Particle Swarm Optimization-based algorithms for solving inverse heat conduction problems of estimating surface heat flux , 2012 .

[6]  Cheng-Hung Huang,et al.  A transient 3-D inverse problem in imaging the time-dependent local heat transfer coefficients for plate fin , 2005 .

[7]  Dawid Taler,et al.  Numerical and experimental study of a solid matrix Electric Thermal Storage unit dedicated to environmentally friendly residential heating system , 2016 .

[8]  A. N. Tikhonov,et al.  Solutions of ill-posed problems , 1977 .

[9]  Timon Rabczuk,et al.  Estimation of linearly temperature-dependent thermal conductivity using an inverse analysis , 2017 .

[10]  Jian Su,et al.  An inverse problem for the estimation of upstream velocity profiles in an incompressible turbulent boundary layer , 2004 .

[11]  Mathieu Sellier,et al.  Estimation of thermal conductivity, heat transfer coefficient, and heat flux using a three dimensional inverse analysis , 2016 .

[12]  Pei-Xue Jiang,et al.  A two-dimensional inverse heat conduction problem for simultaneous estimation of heat convection coefficient, fluid temperature and wall temperature on the inner wall of a pipeline , 2015 .

[13]  Charles F. Weber,et al.  Analysis and solution of the ill-posed inverse heat conduction problem , 1981 .

[14]  Jan Taler,et al.  Simple method for monitoring transient thermal stresses in pipelines , 2016 .

[15]  J. I. Frankel,et al.  Residual-minimization least-squares method for inverse heat conduction , 1996 .

[16]  Ephraim M Sparrow,et al.  Mass transfer by advection and diffusion from a drug-eluting stent , 2011 .

[17]  B. Wȩglowski,et al.  Monitoring of the Stress State in the Boiler Drum Using Finite Element Method , 2014 .

[18]  Albert J. Shih,et al.  A three-dimensional inverse problem in estimating the applied heat flux of a titanium drilling: Theoretical and experimental studies , 2007 .

[19]  Xiao-Wei Gao,et al.  A new inverse analysis method based on a relaxation factor optimization technique for solving transient nonlinear inverse heat conduction problems , 2015 .

[21]  Helcio R. B. Orlande,et al.  A nonlinear inverse problem in simultaneously estimating the heat and mass production rates for a chemically reacting fluid , 2003 .

[22]  Helcio R. B. Orlande,et al.  An inverse problem of parameter estimation for heat and mass transfer in capillary porous media , 2003 .

[23]  Joaquín Zueco,et al.  Inverse determination of temperature dependent thermal conductivity using network simulation method , 2006 .

[24]  Guangjun Wang,et al.  Real-time temperature field reconstruction of boiler drum based on fuzzy adaptive Kalman filter and order reduction , 2017 .

[25]  Gensheng Li,et al.  A modified space marching method using future temperature measurements for transient nonlinear inverse heat conduction problem , 2017 .

[26]  Dawid Taler,et al.  Determination of start-up curves for a boiler with natural circulation based on the analysis of stress distribution in critical pressure components , 2015 .

[27]  M. Prud’homme,et al.  Solution of inverse free convection problems by conjugate gradient method : effects of Rayleigh number , 2001 .

[28]  Reza Pourgholi,et al.  Solving an inverse heat conduction problem using genetic algorithm: Sequential and multi-core parallelization approach , 2014 .

[29]  J Taler,et al.  Solution of inverse heat conduction problems using control volume approach , 1999 .

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

[31]  D. Taler,et al.  Mathematical modelling of the transient response of pipeline , 2016 .

[32]  Wei-Mon Yan,et al.  Inverse problem of unsteady conjugated forced convection in parallel plate channels , 2008 .

[33]  Hung-Yi Li,et al.  A genetic algorithm for inverse radiation problems , 1997 .

[34]  The generalized thermodynamic temperature and the new expressions of the first and the second law of thermodynamics , 2016 .

[35]  Paweł Ocłoń,et al.  Analysis of operating conditions for pressure components of steam boilers , 2012 .

[36]  Bruce L. Tai,et al.  An inverse method to reconstruct the heat flux produced by bone grinding tools , 2016 .

[37]  Cheng-Hung Huang,et al.  A three-dimensional inverse geometry problem in estimating the space and time-dependent shape of an irregular internal cavity , 2009 .

[38]  J. Taler,et al.  Monitoring of thermal stresses in pressure components using inverse heat conduction methods , 2017 .

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

[40]  Piotr Czupryński,et al.  Analysis to speed up of the start-up of steam boiler OP-380 , 2014 .