Download or read book A Volume of fluid Based Numerical Simulation of Solidification in Binary Alloys on Fixed Non uniform Co located Grids written by Mehdi Farrokhnejad Roudsari and published by . This book was released on 2009 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Simulation of Solidification written by Jin-Young Jung and published by . This book was released on 2000 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Simulations of Crystal Growth of an Alloy Under Microgravity Conditions written by James E. Simpson and published by BiblioGov. This book was released on 2013-08 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: The directional solidification of a dilute binary alloy (Bi-1.0 at.%Sn)is investigated. Results are obtained at a gravity level of I pg. Computations are performed in two dimensions with a fixed, non-uniform grid. The simulation involves a solution of the species concentration equation (modified to account for solute rejection at the interface) and energy equation (modified to account for phase-change) for both the solid and liquid phases, in addition to the constitutive equations for describing convective flow in the melt. The effects of conductive heat transfer in the ampoule and in a capillary tube in the sample are included. To gauge the effects of including this growth capillary tube in the apparatus, simulations both with and without the capillary tube are presented and compared. Fully transient simulations have been performed; no simplifying steady-state approximations are used, however, the influence of solute on the melting temperature at the interface is not included. Both thermal and solutal convective cells are seen to form. Convective velocities are significantly damped inside the capillary, causing less segregation due to convection. As solidification proceeds beyond the capillary tube, longitudinal segregation arises as a result of the change in cross-sectional area of solidifying material. The magnitudes of the velocities in this cell increase significantly once the solid/liquid front passes beyond the end of the capillary tube; this causes a corresponding increase in the level of radial solute segregation in the solidified material.
Download or read book Numerical Simulation of Directional Solidification of Binary Alloys with High Thermal Gradients PHD written by Huang-Wen Huang and published by . This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Numerical Investigation of Directional Binary Alloy Solidification Processes Using a Volume averaging Technique written by Lei Wan and published by . This book was released on 2003 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Simulation of Dendritic Solidification with Convection written by Nabeel Zahran Al-Rawahi and published by . This book was released on 2002 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Melting and Solidification of Binary Alloy Subjected to Cyclic Temperature and Heat Flux Boundary Condition written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: An enthalpy based Fixed-Grid method is developed for modeling phase change in a binary alloy subjected to periodic boundary condition. A two-dimensional model is developed for the melting and solidification cycle a gallium-tin (eutectic) alloy. The model also includes the natural convection effect in the liquid zone. Two cases are studied: (1) one of the boundaries is subjected to periodic variation of the temperature and (2) the same boundary subjected to periodic variation of heat flux. An enthalpy based fixed grid approach is used to solve the energy equation. The SIMPLER algorithm of Patankar is used to calculate the flow variables from continuity and momentum equations. The Tri-Diagonal-Matrix-Algorithm is used to solve the algebraic discrete equations. The melting and solidification fronts are captured implicitly by calculating the latent heat content at each control volume. An iterative update procedure is developed to update the latent heat content at each control volume. The proposed methodology is very simple to implement as the grid size is fixed. Since the grid size is fixed, hence the computational domain is also fixed. The domain is discretized once at the beginning of computation. The results obtained using the proposed enthalpy method is being validated with the available experimental results for melting of pure gallium. It is seen that, the solidification front takes a rather more regular shape, than the melting front. This is because of the rapid dissipation of temperature gradients in the melt. Hence, the movement of the solidification front is not modified by the fluid flow.
Download or read book A Nonlinear Analysis and Numerical Simulation of Directional Solidification in Binary Alloys written by Rajiv Mathur and published by . This book was released on 1981 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Direct Numerical Simulation of Solidification Microstructures Affected by Fluid Flow written by and published by . This book was released on 1997 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effects of fluid flow on the solidification morphology of pure materials and solute microsegregation patterns of binary alloys are studied using a computational methodology based on a front tracking/finite difference method. A general single field formulation is presented for the full coupling of phase change, fluid flow, heat and solute transport. This formulation accounts for interfacial rejection/absorption of latent heat and solute, interfacial anisotropies, discontinuities in material properties between the liquid and solid phases, shrinkage/expansion upon solidification and motion and deformation of the solid. Numerical results are presented for the two dimensional dendritic solidification of pure succinonitrile and the solidification of globulitic grains of a plutonium-gallium alloy. For both problems, comparisons are made between solidification without fluid flow and solidification within a shear flow.
Download or read book Numerical Modeling of Solidification Process and Prediction of Mechanical Properties in Magnesium Alloys written by Mehdi Farrokhnejad Roudsari and published by . This book was released on 2013 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: A formulation used to simulate the solidification process of magnesium alloys is developed based upon the volume averaged finite volume method on unstructured collocated grids. To derive equations, a non-zero volume fraction gradient has been considered and resulting additional terms are well reasoned. For discretization the most modern approximations for gradient and hessians are used and novelties outlined. Structure-properties correlations are incorporated into the in-house code and the proposed formulation is tested for a wedge-shaped magnesium alloy casting. While the results of this study show a good agreement with the experimental data, it was concluded that a better understanding of the boundary condition that existed during the experiment would result in a more agreeable result. A variety of boundary conditions are considered at the mold-casting interface to replicate the existing conditions during the casting process. The predicted cooling rates and experimental correlations are used to predict the local grain size and average yield strength. The grain size and thickness of the skin and core regions are taken into account to modify the local yield strength. Results are compared to previously reported experimental data. The outcome of this comparison emphasizes the importance of the influence of cooling rate on the mechanical properties of castings. The effect of different boundary conditions, which resulted in variation of the cooling rates, various grain sizes and, hence, various yield strengths are studied and discussed. It is concluded that the formulation and the numerical treatment presented in this work can be used as an excellent framework to capture the key features of the solidification process, and also provides sufficient microstructural information for estimating the local mechanical properties of die-cast components.
Download or read book OpenFOAM written by J. Miguel Nóbrega and published by Springer. This book was released on 2019-01-24 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains selected papers of the 11th OpenFOAM® Workshop that was held in Guimarães, Portugal, June 26 - 30, 2016. The 11th OpenFOAM® Workshop had more than 140 technical/scientific presentations and 30 courses, and was attended by circa 300 individuals, representing 180 institutions and 30 countries, from all continents. The OpenFOAM® Workshop provided a forum for researchers, industrial users, software developers, consultants and academics working with OpenFOAM® technology. The central part of the Workshop was the two-day conference, where presentations and posters on industrial applications and academic research were shown. OpenFOAM® (Open Source Field Operation and Manipulation) is a free, open source computational toolbox that has a larger user base across most areas of engineering and science, from both commercial and academic organizations. As a technology, OpenFOAM® provides an extensive range of features to solve anything from complex fluid flows involving chemical reactions, turbulence and heat transfer, to solid dynamics and electromagnetics, among several others. Additionally, the OpenFOAM technology offers complete freedom to customize and extend its functionalities.
Download or read book Recommended Values of Thermophysical Properties for Selected Commercial Alloys written by K. C. Mills and published by Woodhead Publishing. This book was released on 2002 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Evolution of Phase Boundaries written by Morton E. Gurtin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications ON THE EVOLUTION OF PHASE BOUNDARIES is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries". The purpose of the workshop was to bring together mathematicians and other scientists working on the Stefan problem and related theories for modeling physical phenomena that occurs in two phase systems. We thank M.E. Gurtin and G. McFadden for editing the proceedings. We also take this opportunity to thank the National Science Foundation, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. PREFACE A primary goal of the IMA workshop on the Evolution of Phase Boundaries from September 17-21, 1990 was to emphasize the interdisciplinary nature of contempo rary research in this field, research which combines ideas from nonlinear partial dif ferential equations, asymptotic analysis, numerical computation, and experimental science. The workshop brought together researchers from several disciplines, includ ing mathematics, physics, and both experimental and theoretical materials science.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1992 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite Volume Method written by Radostina Petrova and published by BoD – Books on Demand. This book was released on 2012-03-28 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: We hope that among these chapters you will find a topic which will raise your interest and engage you to further investigate a problem and build on the presented work. This book could serve either as a textbook or as a practical guide. It includes a wide variety of concepts in FVM, result of the efforts of scientists from all over the world. However, just to help you, all book chapters are systemized in three general groups: New techniques and algorithms in FVM; Solution of particular problems through FVM and Application of FVM in medicine and engineering. This book is for everyone who wants to grow, to improve and to investigate.
Download or read book Introduction to Computational Fluid Dynamics written by Anil W. Date and published by Cambridge University Press. This book was released on 2005-08-08 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Computational Fluid Dynamics is a textbook for advanced undergraduate and first year graduate students in mechanical, aerospace and chemical engineering. The book emphasizes understanding CFD through physical principles and examples. The author follows a consistent philosophy of control volume formulation of the fundamental laws of fluid motion and energy transfer, and introduces a novel notion of 'smoothing pressure correction' for solution of flow equations on collocated grids within the framework of the well-known SIMPLE algorithm. The subject matter is developed by considering pure conduction/diffusion, convective transport in 2-dimensional boundary layers and in fully elliptic flow situations and phase-change problems in succession. The book includes chapters on discretization of equations for transport of mass, momentum and energy on Cartesian, structured curvilinear and unstructured meshes, solution of discretised equations, numerical grid generation and convergence enhancement. Practising engineers will find this particularly useful for reference and for continuing education.
Download or read book Computational Fluid Dynamics with Moving Boundaries written by Wei Shyy and published by Courier Corporation. This book was released on 2012-08-21 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text describes several computational techniques that can be applied to a variety of problems in thermo-fluid physics, multi-phase flow, and applied mechanics involving moving flow boundaries. Step-by-step discussions of numerical procedures include multiple examples that employ algorithms in problem-solving. In addition to its survey of contemporary numerical techniques, this volume discusses formulation and computation strategies as well as applications in many fields. Researchers and professionals in aerospace, chemical, mechanical, and materials engineering will find it a valuable resource. It is also an appropriate textbook for advanced courses in fluid dynamics, computation fluid dynamics, heat transfer, and numerical methods.
