Estimation of boundary condition on the furnace inner wall based on precise integration BEM without iteration

Yu, Bo; Xu, Chuang; Yao, Weian; Meng, Zeng

doi:10.1016/j.ijheatmasstransfer.2018.02.039

Cited by 21 publications

(3 citation statements)

References 55 publications

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“…For continuous three-shot firing, if we assume the interval between shots is very short and neglected, the heat flux form is periodically changing by repeating the wave form defined by Equation (28) or (29). The numerical tests were conducted by setting σ = 0.10 • C and r = 6.…”

Section: Inverse Estimation Of Boundary Heat Flux Under Continuous Shmentioning

confidence: 99%

“…Many valuable methods have been developed for the solution of IHTP [9,17,19,[24][25][26][27]. According to the computational process, these methods can be classified as whole domain (iterative) and sequential (non-iterative) methods [28]. Sequential algorithms have the advantage of being highly efficient, as compared to whole domain methods, without a significant loss of accuracy.…”

Section: Introductionmentioning

confidence: 99%

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Estimation of the Time-Varying High-Intensity Heat Flux for a Two-Layer Hollow Cylinder

et al. 2018

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Gun barrels are subjected to time-varying high-intensity heat flux under multiple firing, which may damage the material and limit the overall performance of the gun. In order to monitor the thermal state of a gun barrel, an inverse method coupling the finite difference method with the sequential function specification method was developed to estimate the unknown time-varying heat flux imposed on the inner wall of a gun barrel. A two-layer hollow cylindrical tube was assumed with the convection heat transfer boundary condition on the outer wall of the tube. A direct heat transfer model was developed, and was used to estimate the temporal distribution of boundary heat flux in approximately real time based on the measured transient temperature at some positions on the outer wall of the gun barrel. Numerical tests were performed to verify the effectiveness and reliability of this method by investigating the influence of temperature measurement noises and future time step selection. The results show that the proposed method has high precision and efficiency in extracting the time-varying heat flux under one-shot and three-shot firing conditions. When there is a measurement noise, this method has good anti-illness characteristics and can achieve better results by appropriately selecting the value of a future time step.

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Section: Inverse Estimation Of Boundary Heat Flux Under Continuous Shmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Estimation of the Time-Varying High-Intensity Heat Flux for a Two-Layer Hollow Cylinder

et al. 2018

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“…The extended FEM is one of the favourite approaches to deal with problems with discontinuity and moving boundaries by using nodal extended shape functions and additional nodal degrees of freedom [9] , which has been used in phase change problems [10][11] and incompressible two-phase flow problems [12] . The BEM has been reported to be one of the favourite tools for a wide variety of heat conduction problems [13][14][15] . Because the moving or unknown boundary can be easily discretized by boundary elements, compared with other numerical methods, it is very convenient to apply the BEM for grid deforming problems, such as moving boundary problems and geometrical inverse problems [16] .…”

Section: Introductionmentioning

confidence: 99%

Radial integral boundary element method for simulating phase change problem with mushy zone

Yao

Zuo

et al. 2021

Appl. Math. Mech.-Engl. Ed.

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A radial integral boundary element method (BEM) is used to simulate the phase change problem with a mushy zone in this paper. Three phases, including the solid phase, the liquid phase, and the mushy zone, are considered in the phase change problem. First, according to the continuity conditions of temperature and its gradient on the liquid-mushy interface, the mushy zone and the liquid phase in the simulation can be considered as a whole part, namely, the non-solid phase, and the change of latent heat is approximated by heat source which is dependent on temperature. Then, the precise integration BEM is used to obtain the differential equations in the solid phase zone and the non-solid phase zone, respectively. Moreover, an iterative predictor-corrector precise integration method (PIM) is needed to solve the differential equations and obtain the temperature field and the heat flux on the boundary. According to an energy balance equation and the velocity of the interface between the solid phase and the mushy zone, the front-tracking method is used to track the move of the interface. The interface between the liquid phase and the mushy zone is obtained by interpolation of the temperature field. Finally, four numerical examples are provided to assess the performance of the proposed numerical method.

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The scaled boundary finite element method based on the hybrid quadtree mesh for solving transient heat conduction problems

Saputra

et al. 2021

Applied Mathematical Modelling

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Estimation of boundary condition on the furnace inner wall based on precise integration BEM without iteration

Cited by 21 publications

References 55 publications

Estimation of the Time-Varying High-Intensity Heat Flux for a Two-Layer Hollow Cylinder

Estimation of the Time-Varying High-Intensity Heat Flux for a Two-Layer Hollow Cylinder

Radial integral boundary element method for simulating phase change problem with mushy zone

The scaled boundary finite element method based on the hybrid quadtree mesh for solving transient heat conduction problems

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