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

POD Preprocessing of IR Thermal Data to Assess Heat Source Distributions

“…The local fitting function ϑ f it of the temperature charts is chosen in the same way as in [5]: (25) where the trigonometric time functions may describe the periodic part of the thermoelastic effects (during cyclic tests), while the linear time function takes transient effects due to heat losses, dissipative heating and possible drifts in the equilibrium temperature into account. In equation (25), f L stands for the loading frequency.…”

“…In [3,19,23], the POD method was used in turbulence to extract the salient features of velocity fields. As shown in [12,25], this method can be applied to the thermal inverse problem without solving any numerical simulation. However, in many previous studies, the POD method has been used to reduce the computational complexity of numerical simulations.…”

Inverse problem of estimating space and time dependent hot surface heat flux in transient transpiration cooling process

“…Lee et al [18] using repulsive particle swarm optimization method for estimating the unknown radiative parameters. Lee et al [19] utilized the Karhunen-Loeve Galerkin procedure in the determination of the space-dependent wall heat flux for laminar flow inside a duct from the temperature measurement within the flow. However, these investigations were not aimed at the heat transfer within porous media or transpiration cooling, and in the references of [11][12][13][14][15], the assumptions of constant thermal properties and incompress- ible fluid were used.…”

Solving a nonlinear inverse convection problem using the sequential gradient method

“…Li and Yan investigated a similar inverse problem for the laminar flow (Li and Yan, 1999). Park and Lee have solved an inverse convection problem based on the Karhunen-Loeve Galerkin procedure (Park and Lee, 1998).…”

“…Convection problems with these boundary conditions have been investigated comprehensively since such asymmetric heat exchanges occur frequently in thermal systems and experimental setups (Park and Lee, 1998, Chin et al, 1988, Makkawi, et aI., 1998, Tao, 1961. In this study, the temperature readings are obtained on the adiabatic wall whereas previous studies considers inside measurements (Liu andOzisik, 1996, Park andLee, 1998). The acquisition of temperature inside a duct or on a heated surface is not an easy task (McGee, 1988).…”