A Front Tracking Model for Transient Solidification of Al–7wt.%Si in a Bridgman Furnace
نویسندگان
چکیده
The Bridgman furnace is widely used in industry and research. This paper outlines a working 1-dimensional model for tracking the columnar solidification front in a Bridgman furnace where the pulling velocity, and hence front position, change as a function of time. The front tracking model is applied to a fixed grid of control volumes using an explicit numerical finite difference scheme to solve the heat equation over a finite domain. The model is demonstrated by way of a notional scenario, namely, Bridgman furnace solidification of a 16-mm diameter rod of Al– 7wt.%Si. The results show how the evolution of temperature distribution, thermal history, and front position are affected by a step change in pulling velocity.
منابع مشابه
Sensitivity analysis of dendritic growth kinetics in a Bridgman furnace front tracking model
A directional solidification experiment of a Ti–Al–Nb–B–C alloy by power down method is simulated using a Bridgman furnace front tracking model. The effect of varying the dendritic growth parameters; C, the columnar dendrite growth coefficient, and n, the undercooling exponent, is investigated. A matrix of growth coefficients and undercooling exponents at three levels each, based around a growt...
متن کاملOrder verification of a Bridgman furnace front tracking model in steady state
Numerical model verification is a prerequisite to model validation. However, verification can be difficult if an analytical solution is not available for the normally complex problem that the numerical model is setting out to address. This article aims to formally verify a Bridgman furnace solidification front tracking model code in a steady state scenario. To do this an order verification proc...
متن کاملA Fixed-Grid Front-Tracking Algorithm for Solidification Problems. Part II - Directional Solidification with Melt Convection
A numerical study of directional solidification has been performed using a fixed-grid front-tracking algorithm. The directional solidification of pure tin, as well as the horizontal Bridgman growth of pure succinonitrile, were investigated. In both cases, the growth front was stable and non-dendritic, but was significantly distorted by the influence of convection in the melt and, for the Bridgm...
متن کاملThe Role of Verification in Computer Modelling: a Case Study in Solidification
Computer modelling has become an important aspect of engineering science and technology. Bespoke computer models are routinely under development and are often applied to specific manufacturing and materials processes. Solidification processes (casting, for example) is no exception and significant numbers of modelling approaches for solidification are available in the literature. The roles of ve...
متن کاملA TRANSIENT TWO-DIMENTIONAL INVERSE ESTIMATION OF THE METAL-MOLD HEAT TRANSFER COEFFICIENT DURING SQUEEZE CASTING of AL-4.5WT%CU
In this paper, a transient, two-dimensional and nonlinear inverse heat conduction problem in solidification process is considered. Genetic algorithm is applied for the identification of the interfacial heat transfer coefficients during squeeze casting of commercial aluminum alloy (Al-4.5wt%Cu) by assuming a priori information regarding the functional form of the unknown heat transfer coefficien...
متن کامل