Position and spacing of sidebranches in binary system

Li, Xiang Ming; Wang, Zi Dong

doi:10.1016/j.jcrysgro.2010.11.007

Cited by 4 publications

(4 citation statements)

References 10 publications

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“…[9][10][11][12][13] In the present work, we will present a general mathematical formulation and give the global steady analytical solution using the multiple scale expansion and matching method. [14][15][16][17] The present paper is arranged as follows. In Section 2, we give the mathematical formulation of gasar eutectic growth under directional solidification.…”

Section: Introductionmentioning

confidence: 99%

A steady solution of the gasar eutectic growth in directional solidification

Li¹,

Li²,

Qinglin³

et al. 2013

Chinese Phys. B

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This paper presents the general mathematical model on gasar eutectic growth in directional solidification. Using multiple scale expansion and matching method, we obtain the global steady solution of gasar eutectic growth as the Peclet number ε 1, where ε is defined as the ratio of half an inter-pore spacing and solutal diffusion length. We also give the interfacial shape and predict the porosity of gasar eutectic growth. Results show that porosity is mainly dependent on gas pressure above the metal melt, but independent of pulling velocity. Our predicted results are in agreement with experimental data.

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Section: Introductionmentioning

confidence: 99%

A steady solution of the gasar eutectic growth in directional solidification

Li¹,

Li²,

Qinglin³

et al. 2013

Chinese Phys. B

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“…To reveal the essence of lotus-type metal materials formation, many theories were developed [3][4][5]. Recently, Li et al [6] developed a general mathematical model for formation of lotus-type metal materials, and obtained steady solution by using multiple scale expansion and mathcing method [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Effects of Argon Partial Pressure on Interfacial Shape of Porous Copper under Unidirectional Solidification

2013

AMR

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Based on the general mathematical model given in Ref.[6] for porous copper fabrication under unidirectional solidification, interfacial shapes including both of solid-liquid and gas-liquid interfaces are given. Effects of argon partial pressure on interfacial shapes are considered. Results show that interfacial shape changes from convex to concave with argon partial pressure increasing for fixed hydrogen pressure. However, increase of argon pressure does not result in changes of interfacial shapes and location changes of interfacial tip are not obvious as argon pressure increasing for fixed total pressure.

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“…Furthermore, in processing of solving solution of system, they all neglected the diffusion term in the solutal diffusion equation and only studied the effects of temperature on the mushy layer length. Actually, solute diffusion has very important effects on formation of interface, which is the rate-controlling process in alloy solidification [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Analytical Solution of Mushy Zone under Directional Solidification

Wang

2013

AMR

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Based on the general mathematical formulation under unidirectional solidification with mushy layer developed in Ref.[13], leading approximation of solution in mushy layer is obtained for the case that the inverse Lewis number is small parameter. For the steady state of solidification, concentration field in the mushy region is given as function of a solid volume fraction. Mushy layer width and solid volume fraction at the solid-mush interface are obtained. Effects of temperature gradient on mushy layer width and solid volume fraction at solid-mush interface are presented.

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Position and spacing of sidebranches in binary system

Cited by 4 publications

References 10 publications

A steady solution of the gasar eutectic growth in directional solidification

A steady solution of the gasar eutectic growth in directional solidification

Effects of Argon Partial Pressure on Interfacial Shape of Porous Copper under Unidirectional Solidification

Analytical Solution of Mushy Zone under Directional Solidification

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