caa a22 4500 47579687X CHVBK 20180406123727.0 cr unu---uuuuu 170329e20000101xx s 000 0 eng 10.1007/PL00001505 doi (NATIONALLICENCE)springer-10.1007/PL00001505 Solution of an inverse heat transfer problem by means of empirical reduction of modes [Elektronische Daten] [H. M. Park, J. H. Lee] Abstract.: An efficent method of solving the inverse heat transfer problem of estimating the unknown function of wall heat flux for laminar flow inside a duct is proposed in the present paper. It is based on the Karhunen—Loève Galerkin procedure which employs the empirical eigenfunctions of the Karhunen—Loève decomposition as basis functions of a Galerkin procedure. With the empirical eigenfunctions, one can a priori limit the function space considered to the smallest linear subspace that is sufficient to describe the observed phenomena, and thus convert the governing equations to a model with a minimum degree of freedom, resulting in a drastic reduction of computation time without loss of accuracy. The performance of the present technique of inverse analysis using the Karhunen—Loève Galerkin procedure is evaluated by several numerical experiments, and is found to be very accurate as well as efficient. Birkhäuser Verlag, Basel,, 2000 Key words. Inverse heat transfer problem, Karhunen—Loève Galerkin method nationallicence Park H. M. Department of Chemical Engineering, Sogang University, Seoul, Korea, e-mail: hmpark@ccs.sogang.ac.kr, KR aut Lee J. H. Department of Chemical Engineering, Sogang University, Seoul, Korea, e-mail: hmpark@ccs.sogang.ac.kr, KR aut https://doi.org/10.1007/PL00001505 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00001505 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Park H. M. Department of Chemical Engineering, Sogang University, Seoul, Korea, e-mail: hmpark@ccs.sogang.ac.kr, KR aut NATIONALLICENCE 700 1- Lee J. H. Department of Chemical Engineering, Sogang University, Seoul, Korea, e-mail: hmpark@ccs.sogang.ac.kr, KR aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer