A method of solving inverse convection problems by means of mode reduction

Chemical Engineering Science

Volumn 53, Issue 9, 1998, Pages 1731-1744

  Park, H M ^a   Lee, J H ^a  

^a Sogang University   (South Korea)

Author keywords

Inverse convection problems; Karhunen Loeve Galerkin procedure

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; HEAT FLUX; INVERSE PROBLEMS; LAMINAR FLOW; MATHEMATICAL MODELS; NUMERICAL METHODS; PIPE FLOW; PROBLEM SOLVING;

KARHUNEN-LOEVE DECOMPOSITION; KARHUNEN-LOEVE-GALERKIN METHOD; MODE REDUCTION;

HEAT CONVECTION;

CONVECTION; HEAT TRANSFER;

EID: 0032557521     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(98)00024-4     Document Type: Article

References (8)

1. Alifanov O. M. Application of the regularization principle to the formulation of approximate solution of inverse heat conduction problem. J. Engng Phys. 23:1972;1566-1571.
2. Beck J. V., Arnold K. J. Parameter Estimation in Engineering and Science. 1977;Wiley, USA.
3. Courant R., Hilbert D. Methods of Mathematical Physics. 1:1962;Wiley-Interscience, New York, USA.
4. Fletcher R., Reeves R. M. Function minimization by conjugate gradients. Comput. J. 7:1964;149-160.
5. Huang C. H., Özisik M. N. Inverse Problem of determining unknown wall heat flux in laminar flow through a parallel plate duct. Numer. Heat Transfer. A21:1992;101-116.
6. Jarney Y., Özisik M. N., Bardon J. P. A general optimization method using adjoint equation for solving multidimensional inverse heat conduction. Int. J. Heat Mass Transfer. 34:1991;2911-2919.
7. Loève M. Probability Theory. 1955;Van Nostrand, Princeton, NJ, USA.
8. Park H. M., Cho D. H. The use of the Karhunen-Loéve decomposition for the modeling of distributed parameter systems. Chem. Engng. Sci. 51:1996;81-98.