Browsing by Author "Lu, D."

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Citation Count: 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.
Analytical and Numerical Simulations for the Kinetics of Phase Separation in Iron (Fe–Cr–X (X=Mo,Cu)) Based On Ternary Alloys
(Elsevier B.V., 2020) Lu, D.; Osman, M. S.; Khater, M. M. A.; Attia, Raghda A. M.; Baleanu, Dumitru; 56389
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.
Citation Count: Lu D.;...et.al. (2019). "New analytical wave structures for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq models and their applications", Results in Physics, Vol.14.
New analytical wave structures for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq models and their applications
(2019) Lu, D.; Tariq, K.U.; Osman, M.S.; Baleanu, Dumitru; Younis M., Younis M; Khater, M.M.A.; 56389
Different types of soliton wave solutions for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq equations are investigated via the solitary wave ansatz method. These solutions are classified into three categories, namely solitary wave, shock wave, and singular wave solutions. The corresponding integrability criteria, termed as constraint conditions, obviously arise from the study. Moreover, the influences of the free parameters and interaction properties in these solutions are discussed graphically for physical interests and possible applications
Citation Count: Lu, D...et al. (2019). "New analytical wave structures for the (3", Results in Physics, Vol. 14.
New analytical wave structures for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq models and their applications
(Elsevier, 2019) Lu, D.; Tariq, K.U.; Osman, M. S.; Baleanu, Dumitru; Younisg, M.; Khatera, M.M.A.; 56389
Different types of soliton wave solutions for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq equations are investigated via the solitary wave ansatz method. These solutions are classified into three categories, namely solitary wave, shock wave, and singular wave solutions. The corresponding integrability criteria, termed as constraint conditions, obviously arise from the study. Moreover, the influences of the free parameters and interaction properties in these solutions are discussed graphically for physical interests and possible applications.