Existence for a stationary model of binary alloy solidification

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Existence for a stationary model of binary alloy solidification

— A proof of existence is given for a stationary model of alloy solidification. The System is composed ofheat équation, soluté équation and Navier-Stokes équations. In the latter, Carman-Kozeny penalization of porous medium models the mushy zone. The problem is first regularized and a séquence of regularized solutions is built thanks to Leray-Schauder's fixed point Theorem. A solution is then e...

متن کامل

Solidification Fronts and Solute Trapping in a Binary Alloy

A phase field model with order parameter, concentration, and temperature as field variables is used to study the properties of solidification fronts in a binary alloy. As in previous papers, the model includes dependence of the free energy density not only on these field variables, but also on the gradients of the order parameter and concentration. Terms with these gradients represent surface f...

متن کامل

investigating the feasibility of a proposed model for geometric design of deployable arch structures

deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...

A quantitative multi-phase field model of polycrystalline alloy solidification

A multi-phase field model for quantitative simulations of polycrystalline solidification of binary alloys is introduced. During the freegrowth stage of solidification, the model exploits the thin-interface analysis developed by Karma [3] in order to realistically capture bulk phase diffusion and the sharp interface corrections predicted by traditional models of solidification. During grain boun...

متن کامل

Planar Solidification from Undercooled Melt: An Approximation of a Dilute Binary Alloy for a Phase-field Model

Abstract. Planar solidification from an undercooled melt has been considered using the phase-field model. The solute and the phase fields have been found in the limit of small impurity concentration. These solutions in the limit of vanishing velocity of the interface motion give the equilibrium partition coefficient and the liquidus slope. Asymptotic expansions for the solute and for the phase ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis

سال: 1995

ISSN: 0764-583X,1290-3841

DOI: 10.1051/m2an/1995290606871