Macroscopic global modeling of binary alloy solidification processes
نویسندگان
چکیده
منابع مشابه
A Numerical Investigation of Directional Binary Alloy Solidification Processes Using a Volume-averaging Technique
A numerical investigation of directional binary alloy solidification processes is presented. In particular, a mathematical model is developed to study macrosegregation patterns as a consequence of thermal-solutal convection in the melt and mushy zone. A good understanding of the basic mechanisms of macrosegregation is helpful in designing and controlling solidification processes in order to ach...
متن کاملExistence 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 کاملPhase-field modeling of binary alloy solidification with coupled heat and solute diffusion.
A phase-field model is developed for simulating quantitatively microstructural pattern formation in solidification of dilute binary alloys with coupled heat and solute diffusion. The model reduces to the sharp-interface equations in a computationally tractable thin-interface limit where (i). the width of the diffuse interface is about one order of magnitude smaller than the radius of curvature ...
متن کاملSolidification 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 کاملPhase-field formulation for quantitative modeling of alloy solidification.
A phase-field formulation is introduced to simulate quantitatively microstructural pattern formation in alloys. The thin-interface limit of this formulation yields a much less stringent restriction on the choice of interface thickness than previous formulations and permits one to eliminate nonequilibrium effects at the interface. Dendrite growth simulations with vanishing solid diffusivity show...
متن کاملذخیره 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: Quarterly of Applied Mathematics
سال: 1985
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/793522