2019
DOI: 10.1155/2019/7432138
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Solving of Two-Dimensional Unsteady-State Heat-Transfer Inverse Problem Using Finite Difference Method and Model Prediction Control Method

Abstract: The Inverse Heat Conduction Problem (IHCP) refers to the inversion of the internal characteristics or thermal boundary conditions of a heat transfer system by using other known conditions of the system and according to some information that the system can observe. It has been extensively applied in the fields of engineering related to heat-transfer measurement, such as the aerospace, atomic energy technology, mechanical engineering, and metallurgy. The paper adopts Finite Difference Method (FDM) and Model Pred… Show more

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Cited by 17 publications
(8 citation statements)
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References 21 publications
(22 reference statements)
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“…The discrete rules of 2D unsteady-state heat conduction problem with internal heat source of the cell plane section, as shown in Figure 1a,b, with time domain are as follows: [23] assuming that after the domain of uniform discretization, the step length of r-axis is Δr ¼ ðr jþ1 À r j Þ and that of z-axis is Δz ¼ ðz iþ1 À z i Þ.…”
Section: Discretization and Approximation Schemementioning
confidence: 99%
See 1 more Smart Citation
“…The discrete rules of 2D unsteady-state heat conduction problem with internal heat source of the cell plane section, as shown in Figure 1a,b, with time domain are as follows: [23] assuming that after the domain of uniform discretization, the step length of r-axis is Δr ¼ ðr jþ1 À r j Þ and that of z-axis is Δz ¼ ðz iþ1 À z i Þ.…”
Section: Discretization and Approximation Schemementioning
confidence: 99%
“…In the present analysis, finite difference equation is applied on 15 Â 4 grid size in a cell plane section. The stability of the considered grid is verified for 2D unsteady-state condition considering the Fourier number values within specified range [23] and Biot number (B) where B is a ratio of internal conduction resistance to the surface convection resistance. In the present work with multipartition approach, the multidirectional thermal resistance governs nonuniform temperature distribution inside the battery.…”
Section: Discretization and Approximation Schemementioning
confidence: 99%
“…With a FVM, the computational region is divided into a series of non-repetitive control volumes around each network’s grid point. Integrating differential equations for each control volume results in a set of discrete equations [ 32 ].…”
Section: Introductionmentioning
confidence: 99%
“…[2] Since temperature distribution is induced by heat dissipation under a certain Razzaq et al [12] applied inverse thermal modelling approach to compute the iron losses in an induction motor. Shoubin et al [13] conducted the inverse heat conduction problem in the two-dimensional unsteady heat conduction system. Shuangfeng et al [14] developed a steady-state inverse heat conduction model and predicted the heat dissipation of a GaN chip mounted on a PCB.…”
Section: Introductionmentioning
confidence: 99%