Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
THEORETICAL ANALYSIS OF THE RAPID SOLIDIFICATION OF METALLIC MATERIALS IN PLANAR FLOW CASTING PROCESS THROUGH OF GENERALIZED INTEGRAL TRANSFORM TECHNIQUE
Submission Author:
Marinaldo Medeiros , PB
Co-Authors:
Marinaldo Medeiros, Carlos Antonio Cabral Santos
Presenter: Marinaldo Medeiros
doi://10.26678/ABCM.COBEM2021.COB2021-1146
Abstract
The Planar Flow Casting (PFC) is a single-stage fast solidification technique for the production of thin metallic ribbons, where the control of process variables contributes to eliminate the formation of cracks and / or fissures. The conditions of the melt puddle between nozzle and rotating wheel affect significantly the quality and dimensional uniformity of the downstream ribbon. The objective of this research is to develop a mathematical model to analyze the phenomenon of heat transfer and the phase change during the formation of the puddle, identifying relative trends and investigating important parameters in the process to determine the position of the interface and the temperature profile. The applied methodology consists of the use of the energy balance, where the equations of the energy in the liquid and solid phases, and the equation of the Interface in a two-dimensional flow are transformed, by changing the variable in a one-dimensional heat conduction problem assuming that the thin layer liquid metal property is suddenly brought into contact with the cooling substrate, in a very short time, leading to the solidification of the liquid metal. Hybrid solutions to the proposed problem are obtained through the Generalized Integral Transform Technique (GITT) with the use of filters to make the boundary conditions homogeneous and are solved by the NDSolve routine of the Matemathica 12.1 software. This tool was show capable to solve the planar flow casting heat transfer problem, with that we can study the fast cooling of metals or alloys and obtain ribbons of thickness controlled by the speed of the wheel and for the heat transfer coefficient. The parameters used in the simulation were the wheel speed of 23 m / s, time of permanence of the metal in the wheel of 25 ms leading to a maximum position of 5.75 mm. Considering that the height of the puddle is very small and the process time is very short, there is a need to use a large number of eigenvalues to obtain the convergence of the solution. The results of the temperature distribution along the length of the puddle and the evolution of the solidification front are presented and compared with existing results in the literature, obtaining an adjustment of the order of 2%.
Keywords
Moving boundary, Planar Flow Casting, Generalized Integral Transform Technique (GITT)
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