Lattice Boltzmann-based Sharp-interface Schemes for Conjugate Heat and Mass Transfer and Diffuse-interface Schemes for Dendritic Growth Modeling

Lattice Boltzmann-based Sharp-interface Schemes for Conjugate Heat and Mass Transfer and Diffuse-interface Schemes for Dendritic Growth Modeling PDF Author: Nanqiao Wang
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
Analyses of heat and mass transfer between different materials and phases are essential in numerous fundamental scientific problems and practical engineering applications, such as thermal and chemical transport in porous media, design of heat exchangers, dendritic growth during solidification, and thermal/mechanical analysis of additive manufacturing processes. In the numerical simulation, interface treatment can be further divided into sharp interface schemes and diffuse interface schemes according to the morphological features of the interface. This work focuses on the following subjects through computational studies: (1) critical evaluation of the various sharp interface schemes in the literature for conjugate heat and mass transfer modeling with the lattice Boltzmann method (LBM), (2) development of a novel sharp interface scheme in the LBM for conjugate heat and mass transfer between materials/phases with very high transport property ratios, and (3) development of a new diffuse-interface phase-field-lattice Boltzmann method (PFM/LBM) for dendritic growth and solidification modeling. For comparison of the previous sharp interface schemes in the LBM, the numerical accuracy and convergence orders are scrutinized with representative test cases involving both straight and curved geometries. The proposed novel sharp interface scheme in the LBM is validated with both published results in the literature as well as in-house experimental measurements for the effective thermal conductivity (ETC) of porous lattice structures. Furthermore, analytical correlations for the normalized ETC are proposed for various material pairs and over the entire range of porosity based on the detailed LBM simulations. In addition, we provide a modified correlation based on the SS420-air and SS316L-air metal pairs and the high porosity range for specific application. The present PFM/LBM model has several improved features compared to those in the literature and is capable of modeling dendritic growth with fully coupled melt flow and thermosolutal convection-diffusion. The applicability and accuracy of the PFM/LBM model is verified with numerical tests including isothermal, iso-solutal and thermosolutal convection-diffusion problems in both 2D and 3D. Furthermore, the effects of natural convection on the growth of multiple crystals are numerically investigated.

Lattice Boltzmann-based Sharp-interface Schemes for Conjugate Heat and Mass Transfer and Diffuse-interface Schemes for Dendritic Growth Modeling

Lattice Boltzmann-based Sharp-interface Schemes for Conjugate Heat and Mass Transfer and Diffuse-interface Schemes for Dendritic Growth Modeling PDF Author: Nanqiao Wang
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
Analyses of heat and mass transfer between different materials and phases are essential in numerous fundamental scientific problems and practical engineering applications, such as thermal and chemical transport in porous media, design of heat exchangers, dendritic growth during solidification, and thermal/mechanical analysis of additive manufacturing processes. In the numerical simulation, interface treatment can be further divided into sharp interface schemes and diffuse interface schemes according to the morphological features of the interface. This work focuses on the following subjects through computational studies: (1) critical evaluation of the various sharp interface schemes in the literature for conjugate heat and mass transfer modeling with the lattice Boltzmann method (LBM), (2) development of a novel sharp interface scheme in the LBM for conjugate heat and mass transfer between materials/phases with very high transport property ratios, and (3) development of a new diffuse-interface phase-field-lattice Boltzmann method (PFM/LBM) for dendritic growth and solidification modeling. For comparison of the previous sharp interface schemes in the LBM, the numerical accuracy and convergence orders are scrutinized with representative test cases involving both straight and curved geometries. The proposed novel sharp interface scheme in the LBM is validated with both published results in the literature as well as in-house experimental measurements for the effective thermal conductivity (ETC) of porous lattice structures. Furthermore, analytical correlations for the normalized ETC are proposed for various material pairs and over the entire range of porosity based on the detailed LBM simulations. In addition, we provide a modified correlation based on the SS420-air and SS316L-air metal pairs and the high porosity range for specific application. The present PFM/LBM model has several improved features compared to those in the literature and is capable of modeling dendritic growth with fully coupled melt flow and thermosolutal convection-diffusion. The applicability and accuracy of the PFM/LBM model is verified with numerical tests including isothermal, iso-solutal and thermosolutal convection-diffusion problems in both 2D and 3D. Furthermore, the effects of natural convection on the growth of multiple crystals are numerically investigated.

Lattice Boltzmann Simulation of Natural Convection During Dendritic Growth

Lattice Boltzmann Simulation of Natural Convection During Dendritic Growth PDF Author: Mohammad Hashemi
Publisher:
ISBN:
Category : Dendrites
Languages : en
Pages : 53

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Book Description
A two-dimensional (2D) and a three-dimensional (3D) lattice Boltzmann (LB) and Cellular Automaton (CA) models were developed to study the buoyancy-induced mechanism of micro-segregation defects leading to formation of freckles in solidification of binary alloys. The channel-like defects that form during solidification have a significant influence on mechanical properties of the cast products. 3D simulations can provide a more profound insight about the mechanism of freckle formation, in comparison with the previous two-dimensional simulations. In the present work, lattice Boltzmann method (LBM) is used to solve for transport phenomena, while CA is employed to capture the solidification interface. Considering the local nature of LB and CA methods, combination of the two methods is a decent choice for large-scale parallelization. The model can be used to simulate dendritic growth, micro-segregation and freckle formation during solidification of metallic alloys in large-scale domains. The computer simulation results indicate that an instability in the fluid density leads to a competition among dendrites that retards growth of some dendrites and accelerates the others. The solute-rich channels which survive during this competition will solidify in the form of freckles.

Lattice Boltzmann Method and Its Applications in Engineering

Lattice Boltzmann Method and Its Applications in Engineering PDF Author: Zhaoli Guo
Publisher: World Scientific
ISBN: 9814508306
Category : Science
Languages : en
Pages : 419

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Book Description
This book covers the fundamental and practical application of the Lattice Boltzmann method (LBM). This method is a relatively new simulation technique for the modeling of complex fluid systems and has attracted interest from researchers in computational physics.

Lattice Boltzmann Method

Lattice Boltzmann Method PDF Author: A. A. Mohamad
Publisher: Springer
ISBN: 9781447174226
Category : Science
Languages : en
Pages : 222

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Book Description
This book introduces readers to the lattice Boltzmann method (LBM) for solving transport phenomena – flow, heat and mass transfer – in a systematic way. Providing explanatory computer codes throughout the book, the author guides readers through many practical examples, such as: • flow in isothermal and non-isothermal lid-driven cavities; • flow over obstacles; • forced flow through a heated channel; • conjugate forced convection; and • natural convection. Diffusion and advection–diffusion equations are discussed, together with applications and examples, and complete computer codes accompany the sections on single and multi-relaxation-time methods. The codes are written in MatLab. However, the codes are written in a way that can be easily converted to other languages, such as FORTRANm Python, Julia, etc. The codes can also be extended with little effort to multi-phase and multi-physics, provided the physics of the respective problem are known. The second edition of this book adds new chapters, and includes new theory and applications. It discusses a wealth of practical examples, and explains LBM in connection with various engineering topics, especially the transport of mass, momentum, energy and molecular species. This book offers a useful and easy-to-follow guide for readers with some prior experience with advanced mathematics and physics, and will be of interest to all researchers and other readers who wish to learn how to apply LBM to engineering and industrial problems. It can also be used as a textbook for advanced undergraduate or graduate courses on computational transport phenomena

Simplified And Highly Stable Lattice Boltzmann Method: Theory And Applications

Simplified And Highly Stable Lattice Boltzmann Method: Theory And Applications PDF Author: Zhen Chen
Publisher: World Scientific
ISBN: 9811228515
Category : Science
Languages : en
Pages : 275

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Book Description
This unique professional volume is about the recent advances in the lattice Boltzmann method (LBM). It introduces a new methodology, namely the simplified and highly stable lattice Boltzmann method (SHSLBM), for constructing numerical schemes within the lattice Boltzmann framework. Through rigorous mathematical derivations and abundant numerical validations, the SHSLBM is found to outperform the conventional LBM in terms of memory cost, boundary treatment and numerical stability.This must-have title provides every necessary detail of the SHSLBM and sample codes for implementation. It is a useful handbook for scholars, researchers, professionals and students who are keen to learn, employ and further develop this novel numerical method.

Telling the Time in British Literature, 1675-1830

Telling the Time in British Literature, 1675-1830 PDF Author: Marcus Tomalin
Publisher: Routledge
ISBN: 9781000042047
Category : Literary Criticism
Languages : en
Pages : 0

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Book Description
Although the broad topic of time and literature in the long eighteenth century has received focused attention from successive generations of literary critics, this book adopts a radically new approach to the subject. Taking inspiration from recent revisionist accounts of the horological practices of the age, as well as current trends in ecocriticism, historical prosody, sensory history, social history, and new materialism, it offers a pioneering investigation of themes that have never previously received sustained critical scrutiny. Specifically, it explores how the essayists, poets, playwrights, and novelists of the period meditated deeply upon the physical form, social functions, and philosophical implications of particular time-telling objects. Consequently, each chapter considers a different device – mechanical watches, pendulums, sandglasses, sundials, flowers, and bells – and the literary responses of significant figures such as Alexander Pope, Anne Steele, William Wordsworth, Samuel Taylor Coleridge, Charlotte Smith, and William Hazlitt are carefully examined.

Continuum Scale Simulation of Engineering Materials

Continuum Scale Simulation of Engineering Materials PDF Author: Dierk Raabe
Publisher: John Wiley & Sons
ISBN: 3527604219
Category : Technology & Engineering
Languages : en
Pages : 885

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Book Description
This book fills a gap by presenting our current knowledge and understanding of continuum-based concepts behind computational methods used for microstructure and process simulation of engineering materials above the atomic scale. The volume provides an excellent overview on the different methods, comparing the different methods in terms of their respective particular weaknesses and advantages. This trains readers to identify appropriate approaches to the new challenges that emerge every day in this exciting domain. Divided into three main parts, the first is a basic overview covering fundamental key methods in the field of continuum scale materials simulation. The second one then goes on to look at applications of these methods to the prediction of microstructures, dealing with explicit simulation examples, while the third part discusses example applications in the field of process simulation. By presenting a spectrum of different computational approaches to materials, the book aims to initiate the development of corresponding virtual laboratories in the industry in which these methods are exploited. As such, it addresses graduates and undergraduates, lecturers, materials scientists and engineers, physicists, biologists, chemists, mathematicians, and mechanical engineers.

Snow Crystals

Snow Crystals PDF Author: Ukichiro Nakaya
Publisher:
ISBN: 9780674182752
Category :
Languages : en
Pages : 524

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Book Description


Phase-Field Methods in Materials Science and Engineering

Phase-Field Methods in Materials Science and Engineering PDF Author: Nikolas Provatas
Publisher: John Wiley & Sons
ISBN: 3527632379
Category : Computers
Languages : en
Pages : 323

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Book Description
This comprehensive and self-contained, one-stop source discusses phase-field methodology in a fundamental way, explaining advanced numerical techniques for solving phase-field and related continuum-field models. It also presents numerical techniques used to simulate various phenomena in a detailed, step-by-step way, such that readers can carry out their own code developments. Features many examples of how the methods explained can be used in materials science and engineering applications.

Microdynamics Simulation

Microdynamics Simulation PDF Author: Paul Bons
Publisher: Springer Science & Business Media
ISBN: 3540255222
Category : Science
Languages : en
Pages : 407

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Book Description
A complete starting package for students and researchers of the earth science community interested in numerical modeling of microstructures. This excellent book deals with the numerical simulation of such microstructures in rocks. It starts with an introduction to existing methods and techniques for optical and electron microscopic analysis. The main part of the book contains examples of numerical modeling of processes and microstructures in rocks, using the software package "ELLE".