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multiphase modeling

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Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005439
EISBN: 978-1-62708-196-2
... Abstract This article presents various equations that are essential for the modeling of both single-phase and multiphase profiles. It includes the fundamental laws of diffusion, along with its equations and solutions. The article provides information on the series of applications...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005430
EISBN: 978-1-62708-196-2
... Abstract Diffusion is the process by which molecules, atoms, ions, point defects, or other particle types migrate from a region of higher concentration to one of lower concentration. This article focuses on the diffusivity data and modeling of lattice diffusion in solid-state materials...
Series: ASM Handbook
Volume: 13C
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v13c.a0004214
EISBN: 978-1-62708-184-9
... by a turbulent flowing medium on the pipe material surface ( Ref 40 ). Because mass-transfer and momentum-transfer effects are interdependent, a change in wall shear stress will affect mass transfer and also impact flow regimes and corrosion rates. Flow Modeling of Multiphase Systems As indicated...
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003721
EISBN: 978-1-62708-177-1
.... , Measurement of Dihedral Angles , Trans. Met. Soc. AIME , Vol 230 , 1964 , p 795 – 801 47. Cahn R.W. , Metal Systems , Composite Materials , Holliday L. , Ed., Elsevier , 1966 , p 65 – 90 48. Cahn J.W. , A Model for Connectivity in Multiphase Structures , Acta Metall...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005518
EISBN: 978-1-62708-197-9
... increasing computer power, first calculations combining a direct description of both the primary phase and secondary particles recently became possible. A multiphase field model coupled with a thermodynamic database was used to address the formation of microstructure in a multicomponent Al-Cu-Si-Mg alloy...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005236
EISBN: 978-1-62708-187-0
... and Electromagnetics , Casting , Viswanathan S. , Ed., Vol 15 , ASM Handbook , ASM International , 2008 6. Wang C.Y. and Beckermann C. , Equiaxed Dendritic Solidification with Convection: Part I: Multiscale/Multiphase Modeling , Metall. Mater. Trans. , Vol 27A , 1996 , p 2754 – 2764...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005406
EISBN: 978-1-62708-196-2
... limit. For the general case of multicomponent multiphase alloys this correction scheme still deserves to be adapted. The general aspects of the PF method are only briefly outlined. For a more complete review see ( Ref 21 ). In general, a PF model starts from an appropriate thermodynamic function...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005420
EISBN: 978-1-62708-196-2
... of the inclusions coming from upstream processing prior to casting. Obtaining this knowledge ideally involves modeling the multiphase fluid flow, turbulent mixing and diffusion, species transport, chemical reactions, and particle interactions that create the inclusions in upstream processes. Considerable...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005536
EISBN: 978-1-62708-197-9
... multicomponent, multiphase systems based on mathematical models that describe the Gibbs energy as a function of temperature, pressure, and composition for each individual phase in a system. Adjustable parameters in the expressions of the numerical models capture the composition dependence in binary and ternary...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005544
EISBN: 978-1-62708-197-9
... Facility of the Department of Chemistry at the University of Pennsylvania. It offers molecular modeling, simulation, mathematical software packages, and the Cambridge Structural Database. University of Pennsylvania http://help.chem.upenn.edu/ CASTEP CASTEP is a software package that uses density...
Series: ASM Handbook
Volume: 24
Publisher: ASM International
Published: 15 June 2020
DOI: 10.31399/asm.hb.v24.a0006546
EISBN: 978-1-62708-290-7
... models of droplet impact are commonly used for high-fidelity simulations. They implement the governing Navier-Stokes and mass-continuity equations but differ depending on their treatment of the interfaces between phases in a multiphase flow problem. The challenge is to track the evolution of interfaces...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005415
EISBN: 978-1-62708-196-2
... Abstract This article discusses the fundamental aspects of phase-field microstructure modeling. It describes the evolution of microstructure modeling, including nucleation, growth, and coarsening. The article reviews two approaches used in the modeling nucleation of microstructure: the Langevin...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001765
EISBN: 978-1-62708-178-8
... to extract structural models. For neutrons, on the other hand, it was demonstrated in the late 1960s that the detailed powder diffraction diagram could be modeled using expressions of the type: I ( 2 θ ) = ∑ i = n m F i 2 χ i ( 2 θ i − 2 θ ) C i where I...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005501
EISBN: 978-1-62708-197-9
... Abstract This article reviews the topic of computational thermodynamics and introduces the calculation of solidification paths for casting alloys. It discusses the calculation of thermophysical properties and the fundamentals of the modeling of solidification processes. The article describes...
Series: ASM Handbook
Volume: 4E
Publisher: ASM International
Published: 01 June 2016
DOI: 10.31399/asm.hb.v04e.a0006277
EISBN: 978-1-62708-169-6
... Abstract This article describes the integration of thermodynamic modeling, mobility database, and phase-transformation crystallography into phase-field modeling and its combination with transformation texture modeling to predict phase equilibrium, phase transformation, microstructure evolution...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005233
EISBN: 978-1-62708-187-0
.... Other examples include turbulence models, combustion models, and multiphase flow models. All models necessarily introduce imprecision, and an ongoing goal of research is to improve the accuracy of these models. Other issues for three-dimensional engineering CFD include geometry acquisition and grid...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005517
EISBN: 978-1-62708-197-9
... Abstract This article presents the background to the CALculation of PHAse Diagrams (CALPHAD) method, explaining how it works, and how it can be applied in industrial practice. The extension of CALPHAD methods as a core basis for the modeling of generalized material properties is explored...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005215
EISBN: 978-1-62708-187-0
... be eliminated or reduced by homogenization and solution heat treatments, which, in the case of wrought alloys, are combined with mechanical deformation processes to reduce the scale of the solidification microstructure. Solidification Models In general, alloys freeze over a temperature range...
Series: ASM Handbook
Volume: 23A
Publisher: ASM International
Published: 12 September 2022
DOI: 10.31399/asm.hb.v23A.a0006896
EISBN: 978-1-62708-392-8
... input data. Some of the major imaging parameters to optimize for 3D printing anatomical models include: Spatial resolution Slice thickness (<1 mm, or 0.04 in.) Reconstruction kernel (preferably soft tissue) Multiphase contrast (e.g., arterial, venous, portal venous, excretory) Metal...
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003427
EISBN: 978-1-62708-195-5
... ultra-high strength was required for the fastener to function. Today, multiphase bolts are being considered to replace alloy 718 where loads are increasing due to growth of some aircraft models. However, in composite structure, it takes a very thick structure to warrant the high shear strength ( F su...