Inverse problem of estimating transient heat transfer rate on external wall of forced convection pipe

Investigations on heat transfer characteristic of molten salt flow in helical annular duct

“…Nu l ¼ 0:836De 0:487 Pr 1=3 ; 250 < De < 1000; Pr > 1 (16) The deviations between the correlated value and experimental data were drawn in Fig. 6(b) and (d) for DTHHE #1 and DTHHE #2, respectively.…”

“…The heat transfer coefficients of molten salt on inner surface of outer helical pipe could be obtained by solving Inverse Heat Conduction Problem [16]. According to the energy conservation, the governing equation for heat transfer through outer helical pipe were followings: where (r, q) was the position parameter in two-dimensional polar coordinates; T b was the bulk temperature of molten salt flow; h i o was the heat transfer coefficient, which could be determined by the iteration computing the difference of measured outer temperature of outer pipe and the calculated temperature in the same position, until the difference was less than convergence factor.…”

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

“…Li and Yan [13] solved an inverse problem for the unsteady convection in an annular duct, and used temperature data to determine the time and space dependent heat flux distribution on the inner wall of the duct. Chen et al [14] calculated the time and space dependent heat transfer rate on the external wall of a pipe system with temperature measurements. Lin et al [15] investigated the heat transfer flux of the unsteady laminar forced convection in parallel plate channels by temperature measurements.…”

“…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. It is clear that these assumptions may not be suitable for transpiration cooling, because there is a very large temperature gradient near the hot surface.…”

Calculation of jet’s inlet temperature for plate temperature control in an impinging jet cooling problem

“…To this end, we employ the conjugate gradient method (CGM) [13][14][15][16][17] and the discrepancy principle [18] to determine the jet's inlet temperature. The conjugate gradient method with an adjoint equation, also called Alifanov's iterative regularization method, belongs to a class of iterative regularization techniques, which means the regularization procedure is performed during the iterative processes, thus the determination of optimal regularization conditions is not needed.…”