Parametric control of microstructures in directional solidification

Pelcé, Pierre; Rochwerger, Daniel

doi:10.1103/physreva.46.5042

Cited by 4 publications

(2 citation statements)

References 5 publications

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“…In practice, the gravitational modulation can be achieved by oscillating, in the vertical direction, the fluid container that is already subjected to a constant gravitational field. The modulation of gravity, with some specific amplitudes and frequencies, can contribute to the improvement of product performances such as solidification process [3,4], frontal polymerization [5], or crystal growth [6].…”

Section: Introductionmentioning

confidence: 99%

Suppression of Chaos in Porous Media Convection under Multifrequency Gravitational Modulation

Allali

2018

Advances in Mathematical Physics

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Suppression of chaos in porous media convection under multifrequency gravitational modulation is investigated in this paper. For this purpose, a two-dimensional rectangular fluid-saturated porous layer heated from below subjected to a vertical gravitational modulation will be considered. The model consists of nonlinear heat equation coupled with a system of equations describing the motion under Darcy law. The time-dependent gravitational modulation is assumed to be with two frequencies σ1 and σ2. A spectral method of solution is used in order to reduce the problem to a system of four ordinary differential equations. The system is solved numerically by using the fifth- and a sixth-order Runge-Kutta-Verner method. Oscillating and chaotic convection regimes are observed. It was shown that chaos can be suppressed by appropriate tuning of the frequencies’ ratio η=σ2/σ1.

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Section: Introductionmentioning

confidence: 99%

Suppression of Chaos in Porous Media Convection under Multifrequency Gravitational Modulation

Allali

2018

Advances in Mathematical Physics

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“…The oscillations can be due to various uncontrolled causes: unsteady convection and temperature fluctuations in the melt, pulling device vibrations, etc so they are often met in experiments [1,2]. Furthermore, the timedependent v t p ( ) can be imposed intentionally, for instance, to try to extent a domain of the uniform solute distribution or control the solute microstructure morphology [10,11]. In metallic alloys the formation of BS at constant v p has been initially addressed in the framework of a sharp interface model, proposed by Aziz and Boettinger [12].…”

Section: Introductionmentioning

confidence: 99%

Complex banded structures in directional solidification processes

Korzhenevskii

Rozas

Horbach

2015

J. Phys.: Condens. Matter

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A combination of theory and numerical simulation is used to investigate impurity superstructures that form in rapid directional solidification (RDS) processes in the presence of a temperature gradient and a pulling velocity with an oscillatory component. Based on a capillary wave model, we show that the RDS processes are associated with a rich morphology of banded structures, including frequency locking and the transition to chaos.

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