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Analytical and Numerical Simulations for the Kinetics of Phase Separation in Iron (Fe–Cr–X (X=Mo,Cu)) Based On Ternary Alloys

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dc.contributor.author Lu, D.
dc.contributor.author Osman, M. S.
dc.contributor.author Khater, M. M. A.
dc.contributor.author Attia, Raghda A. M.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-05-14T09:38:26Z
dc.date.available 2020-05-14T09:38:26Z
dc.date.issued 2020-01-01
dc.identifier.citation Lu, D...et al. (2020). "Analytical and Numerical Simulations for the Kinetics of Phase Separation in Iron (Fe–Cr–X (X=Mo,Cu)) Based On Ternary Alloys",Physica A: Statistical Mechanics and Its Applications, Vol. 537. tr_TR
dc.identifier.issn 03784371
dc.identifier.uri http://hdl.handle.net/20.500.12416/3779
dc.description.abstract In this paper, we investigate the physical behavior of the basic elements that related to phase decomposition in ternary alloys of (Fe–Cr–Mo) and (Fe–Cr–Cu) according to analytical and approximate simulation. We study the dynamic of the separation phase for the ternary alloys of iron. The dynamical process of this separation has been described in a mathematical model called the Cahn–Hilliard equation. The minor element behavior in the process has been described by the Cahn–Hilliard equation. It describes the process of phase separation for two components of a binary fluid in ternary alloys of (Fe–Cr–Mo) and (Fe–Cr–Cu). We implement a modified auxiliary equation method and the cubic B-spline scheme on this mathematical model to show the dynamical process of phase separation and the concentration of one of two components in a system. We try obtaining the solitary and approximate solutions of this model to show the relation between the components in this phase. We discuss our solutions in view of a Stefan, Thomas-Windle, and Navier–Stokes models. Whereas, these models describe the motion of viscous fluid substance. tr_TR
dc.language.iso eng tr_TR
dc.publisher Elsevier B.V. tr_TR
dc.relation.isversionof 10.1016/j.physa.2019.122634 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Convective–Diffusive Cahn–Hilliard Equation tr_TR
dc.subject Cubic B-Spline Scheme tr_TR
dc.subject Modified Auxiliary Equation Method tr_TR
dc.subject Solitary Wave Solutions tr_TR
dc.title Analytical and Numerical Simulations for the Kinetics of Phase Separation in Iron (Fe–Cr–X (X=Mo,Cu)) Based On Ternary Alloys tr_TR
dc.type article tr_TR
dc.relation.journal Physica A: Statistical Mechanics and Its Applications tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 537 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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