Phase Change Problems Using the MLPG Method

Thakur, Harishchandra; Singh, Krishna M.; Sahoo, Prabhati Kumari

doi:10.1080/10407782.2011.552367

Cited by 31 publications

(16 citation statements)

References 37 publications

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“…Wu and Tao [33] applied MLPG method to 2D steady-state heat transfer problems with irregular complex domain. Thakur et al [34,35] employed MLPG method to solve nonlinear heat transfer in irregular domains and phase change problems. Tian and Rao [36] proposed a MLPG method for solving steady-state nonlinear heat transfer problems with boundary conditions including heat flux, convection and radiation.…”

Section: Nomenclaturementioning

confidence: 99%

Modeling heat transfer during friction stir welding using a meshless particle method

Xiao

Zhan

et al. 2017

International Journal of Heat and Mass Transfer

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Modeling heat transfer during friction stir welding (FSW) process is crucial for understanding welding mechanism and optimizing process parameters. Since heat transfer is usually accompanied with the material flow in FSW, the meshless method, which can easily treat large deformation in a Lagrangian framework, is promising for FSW modeling. In this paper, we develop a meshless particle method for the analysis of transient heat transfer during FSW process. In the developed method, a heat source model based on sticking friction is implemented to describe the heat generation of FSW. A particle approximation with first-order consistency is employed to discretize the governing equation of heat transfer. A penalty method is proposed to impose different thermal boundary conditions, and a smoothing algorithm is introduced to enhance numerical stability. Two examples are firstly given to verify the accuracy and parametric effect of the meshless particle method. The method is then used to simulate heat transfer during FSW of 12.7mm-thick Al6061-T6 plates. The calculated temperature distributions are presented and compared with those computed by FEM. The obtained thermal cycles are found to be in good agreement with those obtained from experiments. The validated model of FSW of Al6061-T6 plates is then employed to predict the maximum temperature, heat generation rate and torque for various welding parameters and tool dimensions.

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Section: Nomenclaturementioning

confidence: 99%

Modeling heat transfer during friction stir welding using a meshless particle method

Xiao

Zhan

et al. 2017

International Journal of Heat and Mass Transfer

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“…The heat transfer problem with phase transformation phenomena in biological tissues has been studied by many researchers [18][19][20][21][22][23][24][25][26] by solving the parabolic bioheat transfer equation during the solidification process. Deng and Liu 19 studied the effect of the hyperbolic model on temperature and thermal stress history.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…The following assumptions are made during the mathematical solution of the model. 23,24,[35][36] 1. The phase change of biological tissue during the solidification process occurs at a certain temperature range T s -T l .…”

Section: Non-isothermal Phase Changementioning

confidence: 99%

“…They applied the effective heat capacity approach in order to solve the governing equations and the 1D exact solution for a semi-infinite region to validate the numerical code. Thakur et al 24 presented a meshless local Petrov-Galerkin (MLPG) method to solve phase change heat transfer in a freezing process. They compared their results with that of the 1D exact solution and finite element results and found a good agreement between them.…”

Section: Introductionmentioning

confidence: 99%

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Numerical study of the solidification process in biological tissue with blood flow and metabolism effects by the dual phase lag model

Moradi

Ahmadikia

2012

Proc Inst Mech Eng H

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The bioheat transfer with phase change in biological tissues during the freezing process is simulated by the dual phase lag conduction heat transfer model. A numerical algorithm based on the enthalpy method is established to solve the solidification of biological tissues. The linearly temperature-dependent enthalpy (non-isothermal phase change) is considered here. The results of the parabolic heat conduction model for a slice of cucumber are compared with the experimental data. A comparison between dual phase lag and hyperbolic solutions with small values of relaxation times is applied in order to verify the corresponding parabolic solutions accuracy of the dual phase lag and hyperbolic solutions. The heating source effect owing to blood perfusion and metabolic heat on the heat transfer in a biological tissue subject to freezing process is studied. The relaxation time has an important influence on the transient temperature and temperature gradient. A major discrepancy among bioheat transfer models is found for zones closer to the cooling boundary. The heat source term, owing to blood flow and metabolism in a phase change problem in the biological tissue, has a significant influence on thermal effects of the subject tissue.

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“…In the enthalpy method using the apparent heat capacity formulation (Thakur et al, 2011), the governing equation of the heat conduction involving phase change is written as:…”

Section: Formulation Of Adjoint Analysismentioning

confidence: 99%

Adjoint-based shape optimization of fin geometry for heat transfer enhancement in solidification problem

Morimoto

Kinoshita

Suzuki

2016

JTST

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In the present study, an adjoint-based shape-optimization method is formulated for heat transfer enhancement in liquid-solid phase change problems, in which heat conduction is dominant. In the present shape-optimization scheme, extended heat transfer surfaces with constant wall temperature are allowed to deform based on variational information of a cost functional, which is obtained from the physical temperature and adjoint enthalpy fields. In the computation of the developed scheme with an enthalpy-based formulation, a meshless local Petrov-Galerkin (MLPG) method is implemented for dealing with the complex boundary shape. For high-resolution analyses, a bubble-mesh method for boundary-fitted node arrangement in a well-controlled manner is employed, combined with a high-efficiency searching algorithm for choosing the neighboring bubbles interacted with each other. In the shape evolution process for different initial fin shapes, it is demonstrated that, within a certain range of the initial state, the present shape-optimization scheme leads to tree-like fin shapes that achieve the temperature field with global similarity.

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Phase Change Problems Using the MLPG Method

Cited by 31 publications

References 37 publications

Modeling heat transfer during friction stir welding using a meshless particle method

Modeling heat transfer during friction stir welding using a meshless particle method

Numerical study of the solidification process in biological tissue with blood flow and metabolism effects by the dual phase lag model

Adjoint-based shape optimization of fin geometry for heat transfer enhancement in solidification problem

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