Matthieu Ancellin^{1, *}, Laurent Brosset², Jean-Michel Ghidaglia¹

FDMP-Fluid Dynamics & Materials Processing, Vol.16, No.2, pp. 359-381, 2020, DOI:10.32604/fdmp.2020.08642

Abstract Numerous models have been proposed in the literature to include phase change into numerical simulations of two-phase flows. This review paper presents the modeling options that have been taken in order to obtain a model for violent separated flows with application to sloshing wave impacts. A relaxation model based on linear non-equilibrium thermodynamics has been chosen to compute the rate of phase change. The integration in the system of partial differential equations is done through a non-conservative advection term. For each of these modelling choices, some alternative models from the literature are presented and discussed. The theoretical framework for all… More >

Bin Liu¹, Zhaodan Yang¹, Yahui Wang¹, Rachid Bennacer^1,2

FDMP-Fluid Dynamics & Materials Processing, Vol.13, No.1, pp. 37-47, 2017, DOI:10.3970/fdmp.2017.013.037

Abstract The dynamic thermal history of storage product system is related to the insulation and also to the inertia. Use a new porous media doped with nanofluid PCM to improve the system efficiency. The analysis of the porous sponge thickness with 8 mm, 16 mm and 20 mm, the integrated nanofluids with 0.1%, 0.15% and 0.2%, the mass of the PCM and the initial temperature of the stored product with -1°C, 4°C, 12°C is achieved in order to underline the advantages of the new saturated porous media (sponges) with the phase change material (PCM) /Al₂O₃-H₂O nanofluid. The carrots are used as… More >

Anjie Hu*, DongLiu

The International Conference on Computational & Experimental Engineering and Sciences, Vol.22, No.3, pp. 160-160, 2019, DOI:10.32604/icces.2019.05466

Abstract The pseudo-potential lattice Boltzmann (LB) phase change model has been widely applied in the simulation of liquid-vapor phase change problem. In the simulation, the LB method are applied in modeling of both two-phase flow and the energy transition. However, Li et al. [Physical Reviews E 96, 063303 (2017)] pointed out that the LB thermal equations cause errors when applied with pseudo-potential model. To eliminate these errors, they proposed an improved model by adding correction terms in the LB thermal equation. In their research, the treatment of these correction terms is quite complex and several finite-difference (FD) computations are adopted to… More >

Igor Vušanović^1,*, Vaughan R Voller²

The International Conference on Computational & Experimental Engineering and Sciences, Vol.21, No.4, pp. 70-70, 2019, DOI:10.32604/icces.2019.05185

Abstract In the modeling of liquid to solid phase change processes the movement of the solid phase (e.g., the grains that form when solidifying an alloy) can have a significant impact on the timing and pattern of the process. While a number of solidification models account for the movement of the solid phase, additional analysis is needed to fully understand the phenomena and guide in the selection of appropriate numerical technologies for its resolution. Towards this end, here, we introduce a reduced complexity model (RCM) to describe the solidification of an initially liquid binary material flowing between two parallel cooled plates… More >

Vaughan R. Voller

The International Conference on Computational & Experimental Engineering and Sciences, Vol.21, No.4, pp. 69-69, 2019, DOI:10.32604/icces.2019.05082

Abstract There has been current interest in studying diffusion processes that involve memory and non-locality. These phenomena can be modeled using fractional calculus tools. A fractional derivative in time, a convolution of previous states of the system, modeling memory and a fractional derivative in space, a convolution over aspace domain, modeling non-locality. In this work we consider how such treatments can be incorporated into models of phase change systems. In particular, we examine the consequences of replacing the time and space derivative in the classic one-phase Stefan melting problem with appropriate fractional derivatives. A number of alternative formations and associated computational… More >

Robert Plant^*, M. Ziad Saghir

The International Conference on Computational & Experimental Engineering and Sciences, Vol.21, No.1, pp. 18-18, 2019, DOI:10.32604/icces.2019.04980

Abstract Fluids have been used to maintain operational temperatures for machinery for as long as machines have been developed. Over time different mediums have been explored, such as oils and waxes. These different mediums have had varying impacts on the overall system such as improving the heat capacity but at the cost and strain on the system of requiring more pumping power. Some mediums, while they provide an improvement can also damage to the system itself over time with unwanted interactions such corrosion. In this paper we will examine the implementation and suspension into the working fluid of Micro Encapsulated Phase… More >

F. Wang¹, J.L. Li¹, B.X. Yang¹, N.A. Hill²

CMES-Computer Modeling in Engineering & Sciences, Vol.95, No.1, pp. 59-85, 2013, DOI:10.3970/cmes.2013.095.059

Abstract A gas-liquid two-phase model for the simulation of a power-law fluid mold filling process with the consideration of phase change is proposed, in which the governing equations for the melt and air in the cavity, including the mass conservation, momentum conservation and energy conservation equations, are unified into one system of equation. A revised Enthalpy method, which can be used for both the melt and air in the mold cavity, is proposed to describe the phase change during the mold filling. Finite volume method on non-staggered grid is used to solve the system. The level set method is used to… More >

Harishchandra Thakur¹, K. M. Singh², P. K. Sahoo³

CMES-Computer Modeling in Engineering & Sciences, Vol.68, No.2, pp. 117-150, 2010, DOI:10.3970/cmes.2010.068.117

Abstract MLPG method is a meshfree method which removes the need of meshing of computational domain at any stage of numerical analysis. Current article extends MLPG method to nonlinear heat conduction in irregular domains including the problem of solid-liquid phase change. Moving least square (MLS) scheme is used to interpolate the trial function and a fourth order spline function is used as the test function. Method of direct interpolation is used to enforce essential boundary conditions. Nonlinearities in the problems are handled with an iterative predictor-corrector method. Time integration is performed using θ-method. MLPG method has also been extended to non-homogeneous… More >

Rubén Avila¹, Eduardo Ramos², S. N. Atluri³

CMES-Computer Modeling in Engineering & Sciences, Vol.51, No.1, pp. 73-92, 2009, DOI:10.3970/cmes.2009.051.073

Abstract A Chebyshev Tau numerical algorithm is presented to solve the perturbation equations that result from the linear stability analysis of the convective motion of a fluid layer that appears when an unconfined solid melts in the presence of gravity. The system of equations that describe the phenomenon constitute an eigenvalue problem whose accurate solution requires a robust method. We solve the equations with our method and briefly describe examples of the results. In the limit where the liquid-solid interface recedes at zero velocity the Rayleigh-Bénard solution is recovered. We show that the critical Rayleigh number Ra_c and the critical wave… More >

G. Kosec¹, B. Šarler²

CMES-Computer Modeling in Engineering & Sciences, Vol.47, No.2, pp. 191-216, 2009, DOI:10.3970/cmes.2009.047.191

Abstract This paper explores an application of a novel mesh-free Local Radial Basis Function Collocation Method (LRBFCM) [Sarler and Vertnik (2006)] in solution of coupled heat transfer and fluid flow problems with solid-liquid phase change. The melting/freezing of a pure substance is solved in primitive variables on a fixed grid with convection suppression, proportional to the amount of the solid fraction. The involved temperature, velocity and pressure fields are represented on overlapping sub-domains through collocation by using multiquadrics Radial Basis Functions (RBF). The involved first and second derivatives of the fields are calculated from the respective derivatives of the RBF's. The… More >