Solution of inverse heat conduction problem using the lattice Boltzmann method

Kameli, Hamed; Kowsary, Farshad

doi:10.1016/j.icheatmasstransfer.2012.07.032

Cited by 20 publications

(7 citation statements)

References 26 publications

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“…The DDF model has certain advantages in application for good numerical value stability. M. Mohammadi Pirouz and Hamed Kameli had developed the LBM for the study of conjugate heat transfer problems, and satisfactory agreement with previous results was obtained.…”

Section: Introductionsupporting

confidence: 63%

Numerical Simulation of Fluid Flow and Heat Transfer on the Lubricating Surface with Micro‐Groove

Liu

et al. 2014

Heat Trans. Asian Res.

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The effect of the lubricant flow in the micro‐grooves which resulted from the machining can be expressed in the flow fluid and heat transfer during the mechanical lubrication process. In this paper, a thermal lattice Boltzmann model (LBM), which consists of the heat viscous dissipation term, was proposed to investigate on the lubricants flow and heat transfer in the micro‐grooves. The heat, generated in the lubricating flowing process, was equivalent to a heat source R (x, t) within the fluid and added to the internal energy distribution function. The effect of the heat generated by the fluid on the flow and temperature field can be derived by comparing these two models. The results showed that the fluid temperature rises slower than the mainstream area on account of the vortex motion in the grooves. When the heat source is added to the function, the vortex became larger and the solid boundary was heated by the fluid. Thus, the improved thermal lattice Boltzmann method can accurately simulate the flow of lubricants.

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Section: Introductionsupporting

confidence: 63%

Numerical Simulation of Fluid Flow and Heat Transfer on the Lubricating Surface with Micro‐Groove

Liu

et al. 2014

Heat Trans. Asian Res.

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“…The main default of the gradient based methods is the risk of trapping in an optimum solution which is not the global optimum solution, necessarily. In this area, a conjugate gradient method is a well-known gradient-based optimization method that is used in the solution of different inverse heat transfer problems (Farahani et al , 2014; Kameli and Kowsary, 2012; Cheng and Wu, 2000; Cheng and Chang, 2003). Because gradient computation can often be a complex and time-consuming process, attempts have been made to propose simpler and less-expensive gradient calculation methods, e.g.…”

Section: Introductionmentioning

confidence: 99%

Temperature identification of a heat source in conjugate heat transfer problems via an inverse analysis

Mayeli¹,

Nikfar

2019

HFF

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Purpose The present study aims to perform inverse analysis of a conjugate heat transfer problem including conduction and forced convection via the quasi-Newton method. The inverse analysis is defined for a heat source that is surrounded by a solid medium which is exposed to a free stream in external flow. Design/methodology/approach The objective of the inverse design problem is finding temperature distribution of the heat source as thermal boundary condition to establish a prescribed temperature along the interface of solid body and fluid. This problem is a simplified version of thermal-based ice protection systems in which the formation of ice is avoided by maintaining the interface of fluid and solid at a specified temperature. Findings The effects of the different pertinent parameters such as Reynolds number, interface temperature and thermal conductivity ratio of fluid and solid mediums are analyzed. Originality/value This paper fulfils the analysis to study how thermal based anti-icing system can be used with different heat source shapes.

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“…This IHCP equation is analyzed in the literature. [1][2][3][4][5][6][7][8][9][10][11][12][13][14] Hetmaniok et al [1] applied the homotopy perturbation method for the solution of inverse heat conduction problem. Moreover, Slota [2] implemented homotopy perturbation method for the solution of one phase.…”

Section: Introductionmentioning

confidence: 99%

“…An analytical solution based on Greens function has been obtained by Fernandes et al [12] to reduce computational time in inverse heat conduction problems. The lattice Boltzmann method was used by Kameli and Kowsary [13] to obtain the solution of inverse heat conduction problem. Johansson et al [14] proposed a new method to obtain the solutions for the radially symmetric inverse heat conduction problem.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of the imprecisely defined inverse heat conduction problem

2015

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This paper investigates the numerical solution of the uncertain inverse heat conduction problem. Uncertainties present in the system parameters are modelled through triangular convex normalized fuzzy sets. In the solution process, double parametric forms of fuzzy numbers are used with the variational iteration method (VIM). This problem first computes the uncertain temperature distribution in the domain. Next, when the uncertain temperature measurements in the domain are known, the functions describing the uncertain temperature and heat flux on the boundary are reconstructed. Related example problems are solved using the present procedure. We have also compared the present results with those in [Inf. Sci. (2008) 178 1917] along with homotopy perturbation method (HPM) and [Int. Commun. Heat Mass Transfer (2012) 39 30] in the special cases to demonstrate the validity and applicability.

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Solution of inverse heat conduction problem using the lattice Boltzmann method

Cited by 20 publications

References 26 publications

Numerical Simulation of Fluid Flow and Heat Transfer on the Lubricating Surface with Micro‐Groove

Numerical Simulation of Fluid Flow and Heat Transfer on the Lubricating Surface with Micro‐Groove

Temperature identification of a heat source in conjugate heat transfer problems via an inverse analysis

Numerical solution of the imprecisely defined inverse heat conduction problem

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