2D axisymmetric transient inverse heat conduction analysis of air jet impinging on stainless steel plate with finite thickness

Abstract A 2D axisymmetric inverse heat-conduction model based on the Levenber–Marquardt method was built. The equivalent Nusselt number Nu equ of air jet impinging on a stainless steel plate with finite thickness were obtained. Radiant heat transfer is significant when the temperature of the target plate is high, which induces the nonlinear feature of the inverse heat-conduction problem. The results of the experiments and the inverse analysis provide the following findings. First, the inverse heat-conduction model is accurate. Second, Nu equ maintains a relatively small value before the onset of the air jet. After the air jet starts, however, the values of Nu equ within the stagnation zone (dimensionless radius R / D n  ≤ 1.0) increase dramatically, reach the peak points in the next 20 s, and then remain nearly constant until the end of the experiments. Third, the radial distribution of Nu equ shows that it decreases rapidly within the region of R / D n  ≤ 8.0. When R / D n exceeds 10, Nu equ appears unaffected by the Reynolds number and R / D n . Lastly, Nu equ decreases slowly with the increase in time, which indicates that radiant heat-transfer flux decreases with target plate temperature.

[1]  M. N. Özişik,et al.  Inverse Heat Transfer: Fundamentals and Applications , 2000 .

[2]  Somchart Chantasiriwan,et al.  An algorithm for solving multidimensional inverse heat conduction problem , 2001 .

[3]  A. Cebo-Rudnicka,et al.  Dedicated three dimensional numerical models for the inverse determination of the heat flux and heat transfer coefficient distributions over the metal plate surface cooled by water , 2014 .

[4]  Transient conjugate heat transfer from a hemispherical plate during free liquid jet impingement on the convex surface , 2011 .

[5]  Ertan Baydar,et al.  An experimental and numerical investigation on a confined impinging air jet at high Reynolds numbers , 2005 .

[6]  Inverse Estimation of Front Surface Temperature of a Plate with Laser Heating and Convection-Radiation Cooling , 2012 .

[7]  Noam Lior,et al.  Jet Impingement Heat Transfer: Physics, Correlations, and Numerical Modeling , 2006 .

[8]  A. T. Hauksson.  Experimental study of boiling heat transfer during water jet impingement on a hot steel plate , 2001 .

[9]  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 .

[10]  Y. Çengel.  Introduction to thermodynamics and heat transfer , 1996 .

[11]  E. Eckert,et al.  An international journal in the field of heat and mass transfer , 1960 .

[12]  Yue-Tzu Yang,et al.  Numerical study of transient conjugate heat transfer of a turbulent impinging jet , 2007 .

[13]  H. Martin.  Heat and Mass Transfer between Impinging Gas Jets and Solid Surfaces , 1977 .

[14]  Shang-Chen Wu,et al.  An inverse problem in estimating the base heat flux of an annular fin based on the hyperbolic model of heat conduction , 2013 .

[15]  Jing Lei,et al.  An inversion approach for the inverse heat conduction problems , 2012 .

[16]  Muhammad M. Rahman,et al.  Analysis of Transient Conjugate Heat Transfer to a Free Impinging Jet , 2000 .

[17]  H. Martin,et al.  Measurements on steady state heat transfer and flow structure and new correlations for heat and mass transfer in submerged impinging jets , 2007 .

[18]  Wei Liu,et al.  An analytical solution for two-dimensional inverse heat conduction problems using Laplace transform , 2003 .

[19]  Juan Andrés Martín García,et al.  Two-dimensional non-linear inverse heat conduction problem based on the singular value decomposition , 2009 .

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

[21]  Piotr Duda,et al.  Solution of an inverse axisymmetric heat conduction problem in complicated geometry , 2015 .

[22]  J. K. Chen,et al.  Inverse estimation of surface heating condition in a three-dimensional object using conjugate gradient method , 2010 .

[23]  Z. Dagan,et al.  Heat transfer between a circular free impinging jet and a solid surface with non-uniform wall temperature or wall heat flux—1. Solution for the stagnation region , 1989 .

[24]  Ching-yu Yang.  Direct and inverse solutions of the two-dimensional hyperbolic heat conduction problems , 2009 .

[25]  Cheng-Hung Huang,et al.  A three-dimensional inverse heat conduction problem in estimating surface heat flux by conjugate gradient method , 1999 .