Numerical analysis of solidification of a 3-D semitransparent medium in presence of volumetric radiation

The Multiple Equiaxed Dendrite Interaction (MEDI) experiment was launched on the MASER-13 sounding rocket campaign to investigate polycrystalline equiaxed solidification in the transparent phase change material Neopentylgycol-30wt.%(d)Camphor. This material is of interest as an energy-storage material and as a transparent analogue system of solidification in hypoeutectic metal alloys with a Face Centred Cubic lattice. The liquid sample was cooled under a controlled rate of 0.75 K/min with sufficient time to allow semi-solid conditions to develop under microgravity conditions with the absence of gravity-driven convection. This manuscript provides details on the experimental apparatus and procedures. In addition, the experimental method has been augmented with a numerical model to assist with the characterisation of the essential thermal aspects of the experiment. The model followed a volume-averaging, continuum approach for mushy-zone development. A fast algorithm for computing non-isothermal crystallisation kinetics was applied to the case of binary alloy solidification. To build confidence, a formal numerical verification procedure was performed.The model converged sufficiently with second order accuracy as expected. Application of the model gave close agreement between experimental thermocouple readings and numerical simulation data with a Root Mean Square of 0.2 K for the error. A 2D thermal model is sufficient with a suitable heat loss coefficient at the sample-viewing window boundary.Thermal gradients within the sample and along the growth direction were uniform and approximately 0.3 K/mm. Lateral thermal gradients in the sample ranged from zero at the median plane to 0.3 K/mm at the boundary with the containing structure. However, temperature variation in the lateral direction was predicted to be less than 0.22 K.

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“…The general heat equation for a solidification process in the absence of convection [12][13] and volumetric radiation [14] is…”

Section: Heat Equation and Equiaxed Modelmentioning

confidence: 99%

Thermal characterisation with modelling for a microgravity experiment into polycrystalline equiaxed dendritic solidification with in-situ observation

Mooney

Sturz

Zimmermann

et al. 2018

International Journal of Thermal Sciences

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“…The systems which necessitate a proper examination of thermal radiation include but not limited to the design of boilers, furnaces, internal combustion engines and insulations [2]. Analysis of phase change process of semitransparent materials like glass and semiconductor materials is another case where knowledge of the volumetric radiation is required [3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Radiation Heat Transfer Using the Lattice Boltzmann Method and the Finite Volume Method

Mazhar¹

2023

IJEMD-Engr

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This article reports the result of two popular numerical methods, viz., finite volume method (FVM) and lattice Boltzmann method (LBM) used to calculate the radiation heat transfer within an enclosure. 2-D rectangular enclosure with absorbing, emitting and scattering participating medium is considered. In terms of collision and streaming, the present approach of LBM for the radiative heat transfer is similar to those being used in fluid dynamics and heat transfer for the analysis of conduction and convection. However, in the present LBM approach in order to mitigate the effect of isotropy in the polar direction the number of lattices employed is greater than those being used for 2-D system. Distribution of heat flux and emissive power for different values of extinction coefficient has been obtained using both methods. The good agreement has been found between LBM and FVM results. The number of iteration and CPU times has also been compared. It is found that for the convergence of solution the LBM required a greater number of iterations as FVM but LBM computationally much faster than FVM.

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“…[1][2][3][4][5]. It plays a significant role in the phase change of semitransparent materials [6,7]. Recently, it has found applications in characterization of a medium and to detect an inhomogeneity such as a tumor in the human body [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Comparison of the thermal effects of the transport of a short-pulse laser and a multi-pulse laser through a participating medium

Mishra

Muthukumaran

Maruyama

2012

International Journal of Heat and Mass Transfer

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Numerical analysis of solidification of a 3-D semitransparent medium in presence of volumetric radiation

Cited by 16 publications

References 31 publications

Thermal characterisation with modelling for a microgravity experiment into polycrystalline equiaxed dendritic solidification with in-situ observation

Thermal characterisation with modelling for a microgravity experiment into polycrystalline equiaxed dendritic solidification with in-situ observation

Numerical Analysis of Radiation Heat Transfer Using the Lattice Boltzmann Method and the Finite Volume Method

Comparison of the thermal effects of the transport of a short-pulse laser and a multi-pulse laser through a participating medium

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