@article{mejias_orlande_ozisik_2003, title={Effects of the heating process and body dimensions on the estimation of the thermal conductivity components of orthotropic solids}, volume={11}, ISSN={["1068-2767"]}, DOI={10.1080/1068276031000105686}, abstractNote={In this article, we design the experiment for estimating the thermal conductivity components of an orthotropic medium, with respect to the solid dimensions and to the magnitude of the fluxes that are used to heat the solid. The D-optimum approach is used in the experimental design. By using a transformation that maps the heat conduction equation for an orthotropic medium into the heat conduction equation for an isotropic medium, we show that thermal conductivity components with identical relative accuracies can be estimated by appropriately selecting the experimental variables under picture. The Levenberg-Marquardt method is applied for the solution of the present parameter estimation problem by using simulated temperature measurements.}, number={1}, journal={INVERSE PROBLEMS IN ENGINEERING}, author={Mejias, MM and Orlande, HRB and Ozisik, MN}, year={2003}, month={Feb}, pages={75–89} } @article{aparecido_ozisik_2002, title={Nonlinear parameter estimation in laminar forced convection within a circular sector tube}, volume={10}, ISSN={["1068-2767"]}, DOI={10.1080/106827603100015659}, abstractNote={In this article we examine an inverse heat convection problem of estimating unknown parameters of a parameterized variable boundary heat flux. The physical problem is a hydrodynamically developed, thermally developing, three-dimensional steady state laminar flow of a Newtonian fluid inside a circular sector duct, insulated in the flat walls and subject to unknown wall heat flux at the curved wall. Results are presented for polynomial and sinusoidal trial functions, and the unknown parameters as well as surface heat fluxes are determined. Depending on the nature of the flow, on the position of experimental points the inverse problem sometimes could not be solved. Therefore, an identification condition is defined to specify a condition under which the inverse problem can be solved. Once the parameters have been computed it is possible to obtain the statistical significance of the inverse problem solution. Therefore, approximate confidence bounds based on standard statistical linear procedure, for the estimated parameters, are analyzed and presented.}, number={6}, journal={INVERSE PROBLEMS IN ENGINEERING}, author={Aparecido, JB and Ozisik, MN}, year={2002}, month={Dec}, pages={503–522} } @article{carvalho_orlande_ozisik_2000, title={Estimation of the boundary heat flux in grinding via the conjugate gradient method}, volume={21}, ISSN={["1521-0537"]}, DOI={10.1080/01457630050144523}, abstractNote={The unknown boundary surface heat flux in workpieces during grinding is estimated by the application of inverse heat transfer analysis. The conjugate gradient method of function estimation is used for the minimization procedure. Simulated temperature measurements are used in the inverse analysis for typical practical cases, in order to show that results more accurate than those available in the literature are obtained with the present solution approach. Actual experimental data are also used in the computations to estimate the surface heat flux.}, number={4}, journal={HEAT TRANSFER ENGINEERING}, author={Carvalho, RN and Orlande, HRB and Ozisik, MN}, year={2000}, pages={71–82} } @book{ozisik_2000, title={Inverse heat transfer: Fundamentals and applications}, ISBN={156032838X}, publisher={New York: Taylor & Francis}, author={Ozisik, M. N.}, year={2000} } @book{oz?s?k_1993, title={Heat conduction}, publisher={New York: Wiley}, author={Oz?s?k, M. Necati}, year={1993} } @book{ozisik_1977, title={Basic heat transfer}, publisher={New York: McGraw-Hill}, author={Ozisik, M. Necati}, year={1977} }