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  1. Transactions of the Indian Institute of Metals
  2. Transactions of the Indian Institute of Metals : Volume 65
  3. Transactions of the Indian Institute of Metals : Volume 65, Issue 6, December 2012
  4. Introducing Non-locality into Solidification Models
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Transactions of the Indian Institute of Metals : Volume 70
Transactions of the Indian Institute of Metals : Volume 69
Transactions of the Indian Institute of Metals : Volume 68
Transactions of the Indian Institute of Metals : Volume 67
Transactions of the Indian Institute of Metals : Volume 66
Transactions of the Indian Institute of Metals : Volume 65
Transactions of the Indian Institute of Metals : Volume 65, Issue 6, December 2012
Preface
Solidification of Silicon for Solar Cells
Introducing Non-locality into Solidification Models
Casting Solidification Feed-Path Computation and Industrial Application
A Front Tracking Model for Transient Solidification of Al–7wt%Si in a Bridgman Furnace
Developments in Solidification Processing of Functionally Graded Aluminium Alloys and Composites by Centrifugal Casting Technique
Assessment of Heat Transfer During Solidification of Al–22% Si Alloy by Inverse Analysis and Surface Roughness Based Predictive Model
Non-dendritic Structural Changes in Al–7Si Alloy Cast Through Rapid Slurry Formation (RSF) Process
Fe Bearing Intermetallic Phase Formation in a Wrought Al–Mg–Si Alloy
Prediction of Glass Forming Ability Using Thermodynamic Parameters
Comparative Studies of Different Methods for Determining Crystallization Kinetics of Metallic Glass
A Few Aspects on the Processing and Deformation Behavior of Advanced Eutectic Alloys
A Zr–Co–Al Bulk Metallic Glass Derived from the Atomic-Cluster-Plus-Glue-Atom Model and Its Mechanical Properties
Simulation of Cooling of Liquid Metal in an Inclined Slope to Predict the Condition for Semi Solid Forming and Its Experimental Validation
Scaling Analysis of Solidification of Liquid Aluminum Alloy Flowing on Cooling Slope
Microstructural and Mechanical Characterization of Two Aluminium Based In Situ Composite Foams
Modification of AZ91 Mg Alloys for High Temperature Applications
Influence of Al$_{4}$C$_{3}$ Particles on Grain Refinement of Mg–3Al Alloys
Multi-Phase-Field Modeling of Solidification in Technical Steel Grades
Towards a Three-Dimensional Phase-Field Model of Dendritic Solidification with Physically Realistic Interface Width
3D In Situ Imaging of Aluminium Alloys During Solidification
Microstructural Characterization of Graphite Spheroids in Ductile Iron
Solidification of SiMo Nodular Cast Iron for High Temperature Applications
Influence of Reaction Temperature and Reaction Time for the Manufacturing of Al–Ti–B (Ti:B = 5:1, 1:3) Master Alloys and Their Grain Refining Efficiency on Al–7Si Alloys
Nanocomposites of Aluminum Alloys by Rapid Solidification Processing
Oxidation of Aluminium Alloy Melts and Inoculation by Oxide Particles
Simultaneous Primary Si Refinement and Eutectic Modification in Hypereutectic Al–Si Alloys
Microstructural Evolution of A356 Al Alloy During Flow Along a Cooling Slope
Investigation on the Wear Properties of Primary Si Modified Al–20Si Alloy
Effect of Mg on Solidification Microstructures of Homogenous and Functionally Graded A390 Aluminum Alloys
Evolution of Microstructure During Solidification of an Aluminium Alloy Under Stirring
Modelling Temperature Profiles and Flow Velocities During Melt Filtration in Permanent Mould Casting of AZ91E Magnesium Alloy
Changes in Solidification Morphology of Mg–Si Alloys by Ca Additions
Hot Tearing Susceptibility of Magnesium–Gadolinium Binary Alloys
Effect of Ce and Sb on Primary Graphite Growth in Cast Irons
Wetting Behavior and Evolution of Microstructure of Sn–3.5Ag Solder Alloy on Electroplated 304 Stainless Steel Substrates
Thermal Analysis and Microstructure of ZA8 Alloy Solidifying Against Chills
Solidification Behaviour of Ti–Cu–Fe–Co–Ni High Entropy Alloys
Cavitation Erosion Studies on Friction Stir Processed Hydroturbine Steel
Some Investigations on Friction Stir Processed Zone of AZ91 Alloy
Influence of Varying SiO$_{2}$ % on the Mechanical Properties of Al Based MMC
Squeeze Infiltration Processing of Functionally Graded Aluminum–SiC Metal Ceramic Composites
Processing and Stability of LM25/SiC$_{P}$ Composite Foams
Development of In Situ As Cast Al–Mg$_{2}$Si Particulate Composite: Microstructure Refinement and Modification Studies
Effect of Process Parameters on Porosity in Laser Deposited IN625 Alloy
Porous Surfaces Via Impinging and Solidifying Molten Hollow Melt Droplets on Substrates
Microstructures of Directionally Solidified Al–Ag–Cu Ternary Eutectics
Evolution of Specific Surface Area with Solid Volume Fraction During Coalescence with Parabolic Shape Assumption for Dendrite
On the Relationship Between Inclusions and Pores, Part I: Precipitation
Numerical Prediction of Effect of Oxide Characteristics on Heterogeneous Nucleation of Bubbles in Aluminium Foaming
Studies on Transport Phenomena during Solidification of a Binary Solution (NH$_{4}$Cl + H$_{2}$O) on an Inclined Cooling Plate
Study on Rheological Behavior of Semisolid A356 Alloy During Solidification
Studies on Double Diffusive Convection and Macro-segregation During Solidification of an Al-Alloy Based on Macro–Micro Model
Differential Thermal Analysis Assessment of Beta Phase Precipitation in Al-6.5Si-1Fe Alloy
Prediction of Bulk Metallic Glass Formation in Cu–Zr–Ag–Hf System by Thermodynamic and Topological Modeling
Numerical Simulation of Laser Surface Remelting on Unstructured Grids
Issues on Puddle Formation During Rapid Solidification of Fe–Si–B–Nb–Cu Alloy Using Planar Flow Melt Spinning Process
Transactions of the Indian Institute of Metals : Volume 65, Issue 5, October 2012
Transactions of the Indian Institute of Metals : Volume 65, Issue 4, August 2012
Transactions of the Indian Institute of Metals : Volume 65, Issue 3, June 2012
Transactions of the Indian Institute of Metals : Volume 65, Issue 2, April 2012
Transactions of the Indian Institute of Metals : Volume 65, Issue 1, February 2012
Transactions of the Indian Institute of Metals : Volume 64
Transactions of the Indian Institute of Metals : Volume 63
Transactions of the Indian Institute of Metals : Volume 62
Transactions of the Indian Institute of Metals : Volume 61

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Introducing Non-locality into Solidification Models

Content Provider Springer Nature Link
Author Voller, Vaughan R.
Copyright Year 2012
Abstract A non-local flux, constructed as a weighted sum of local gradients, is introduced into a standard solidification model. A particular choice of weights leads to a flux expressed as a Caputo fractional derivative. Numerical solution, indicates that—in modeling solidification at microstructure scales of ~5 mm—the presence of non-locality influences the distribution of temperature and liquid fraction and also increase the expected exponent in the characteristic solidification time scale.
Starting Page 515
Ending Page 519
Page Count 5
File Format PDF
ISSN 09722815
Journal Transactions of the Indian Institute of Metals
Volume Number 65
Issue Number 6
e-ISSN 09751645
Language English
Publisher Springer-Verlag
Publisher Date 2012-10-07
Publisher Place India
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Non-locality Solidification model Fractional derivative Enthalpy solution Metallic Materials Tribology, Corrosion and Coatings Materials Science
Content Type Text
Resource Type Article
Subject Metals and Alloys
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