Inverse Natural Convection Problem with Radiation in Rectangular Enclosure

Inverse thermal problem is applied to natural convective flow with radiative heat transfer. The bottom wall temperature in the 2-D cavity domain is estimated by using gas temperature measurements in the flow field. The inverse problem is solved through a minimization of an objective function using the conjugate gradient method with adjoint problem. The effects of functional form of bottom wall temperature profile, the number and the position of measurement points, and the measurement errors are investigated and discussed. The conjugate gradient method is found to work well in estimating the bottom wall temperature, even when natural convection with radiation phenomena is involved.

[1]  H. Park,et al.  Solution of the inverse radiation problem using a conjugate gradient method , 2000 .

[2]  H. Park,et al.  A multidimensional inverse radiation problem of estimating the strength of a heat source in participating media , 2001 .

[3]  Seung Wook Baek,et al.  Inverse analysis for estimating the unsteady inlet temperature distribution for two-phase laminar flow in a channel , 2006 .

[4]  Cheng-Hung Huang,et al.  Inverse Problem of Determining Unknown Wall Heat Flux in Laminar Flow Through a Parallel Plate Duct , 1992 .

[5]  M. N. Özişik,et al.  Inverse Heat Transfer , 2022 .

[6]  Hung-Yi Li,et al.  Estimation of thermal properties in combined conduction and radiation , 1999 .

[7]  M. Ozisik,et al.  Estimation of inlet temperature profile in laminar duct flow , 1996 .

[8]  Seung Wook Baek,et al.  INVERSE SURFACE RADIATION ANALYSIS IN AN AXISYMMETRIC CYLINDRICAL ENCLOSURE USING A HYBRID GENETIC ALGORITHM , 2004 .

[9]  Wei-Mon Yan,et al.  Identification of wall heat flux for turbulent forced convection by inverse analysis , 2003 .

[10]  M. N. Özişik,et al.  An inverse analysis for estimating the time-varying inlet temperature in laminar flow inside a parallel plate duct , 1995 .

[11]  H. Park,et al.  An inverse natural convection problem of estimating the strength of a heat source , 1999 .

[12]  G. Poots.  HEAT TRANSFER BY LAMINAR FREE CONVECTION IN ENCLOSED PLANE GAS LAYERS , 1958 .

[13]  W. Yan,et al.  Inverse Convection Problem for Determining Wall Heat Flux in Annular Duct Flow , 2000 .