## Science and Engineering of Casting SolidificationCasting of metals evolved first as witchcraft, gradually became an art, then technology, and became only recently a science. Many of the processes used in a metal casting are still empirical in nature, but many others are deeply rooted in mathematics. In whatever form, casting of metals is an activity fundamental in the very existence of our world, as we know it today. Foundry reports indicate that solidification modeling is not only a cost-effective investment but also a major technical asset. It helps foundries move into markets with more complex and technically demanding work. However, to the best of the author's knowledge, there have been no attempts to synthesize the information that can be used for engineering calculations pertinent to computational modeling of casting solidification. This book is based on the author's thirty years of experience with teaching, research and the industrial practice of solidification science as applied to casting processes. It is an attempt to describe solidification theory through the complex mathematical apparatus that includes partial differential equations and numerical analysis, which are required for a fundamental treatment of the problem. The mathematics, however, is restricted to the element essential to attain a working knowledge of the field. This is in line with the main goal of the book, which is to educate the reader in the fast moving area of computational modeling of solidification of casting. For the sake of completeness, a special effort has been made to introduce the reader to the latest developments in solidification theory, even if the reader has no engineering applications at this time. The text is designed to be self-contained. The author's teaching experience demonstrates that some of the students interested in solidification science are not fully proficient in partial differential equations (PDE) and/or numerical analysis. Accordingly, elements of PDE and numerical analysis, required to obtain a working knowledge of computational solidification modeling, have been introduced in the text while attempting to avoid the interruption of the fluency of the subject. Numerous modeling and calculation examples using the Excel spreadsheet as an engineering tool are provided. The book is addressed to graduate students and seniors in solidification science, as well as to industrial researchers who work in the field of solidification in general and casting modeling in particular. |

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### Contents

I | 1 |

II | 4 |

IV | 5 |

V | 7 |

VI | 9 |

VII | 11 |

VIII | 12 |

IX | 14 |

LXXVII | 153 |

LXXVIII | 158 |

LXXIX | 160 |

LXXX | 161 |

LXXXI | 162 |

LXXXII | 165 |

LXXXIII | 173 |

LXXXIV | 174 |

X | 15 |

XI | 16 |

XIII | 19 |

XIV | 20 |

XVI | 24 |

XVII | 25 |

XVIII | 27 |

XIX | 30 |

XX | 31 |

XXII | 34 |

XXIII | 35 |

XXIV | 36 |

XXV | 38 |

XXVI | 40 |

XXVII | 43 |

XXIX | 47 |

XXX | 49 |

XXXI | 51 |

XXXIII | 54 |

XXXIV | 55 |

XXXV | 63 |

XXXVI | 67 |

XXXVII | 70 |

XXXVIII | 72 |

XL | 74 |

XLI | 75 |

XLII | 78 |

XLIII | 81 |

XLIV | 85 |

XLV | 89 |

XLVI | 91 |

XLVII | 92 |

XLVIII | 93 |

XLIX | 94 |

LI | 96 |

LIII | 99 |

LIV | 107 |

LV | 108 |

LVII | 110 |

LVIII | 112 |

LX | 115 |

LXI | 116 |

LXII | 117 |

LXIII | 119 |

LXIV | 122 |

LXV | 126 |

LXVII | 133 |

LXIX | 134 |

LXX | 138 |

LXXI | 142 |

LXXII | 143 |

LXXIII | 145 |

LXXIV | 148 |

LXXV | 149 |

LXXVI | 152 |

LXXXVI | 176 |

LXXXVII | 180 |

LXXXVIII | 184 |

LXXXIX | 186 |

XCI | 188 |

XCII | 189 |

XCIII | 191 |

XCIV | 195 |

XCVI | 196 |

XCVII | 202 |

XCVIII | 203 |

C | 204 |

CI | 206 |

CII | 208 |

CIII | 210 |

CIV | 212 |

CV | 213 |

CVI | 214 |

CVII | 218 |

CVIII | 219 |

CIX | 221 |

CX | 222 |

CXI | 223 |

CXIII | 239 |

CXIV | 241 |

CXVI | 243 |

CXVII | 250 |

CXIX | 253 |

CXX | 259 |

CXXI | 265 |

CXXII | 268 |

CXXIII | 269 |

CXXIV | 270 |

CXXV | 272 |

CXXVI | 275 |

CXXVII | 277 |

CXXVIII | 279 |

283 | |

CXXX | 284 |

CXXXI | 285 |

CXXXIV | 288 |

CXXXVI | 290 |

CXXXVIII | 293 |

CXXXIX | 297 |

CXL | 307 |

CXLII | 311 |

CXLV | 312 |

CXLVI | 317 |

CXLVII | 319 |

CXLVIII | 322 |

CXLIX | 324 |

331 | |

CLI | 339 |

### Other editions - View all

Science and Engineering of Casting Solidification, Second Edition Doru Stefanescu Limited preview - 2008 |

### Common terms and phrases

AFS Trans alloys analysis Application arm spacing assumed assumption atoms austenite Beckermann boundary conditions boundary layer calculated cast iron cells columnar composition constant constitutional undercooling contact angle convection cooling curve cooling rate criterion critical velocity crystal curvature D.M. Stefanescu decreases dendrite arm dendrite growth dendrite tip density derived described difference diffusion directional solidification end of solidification engulfment entropy of fusion equiaxed grains equilibrium eutectic eutectic grains evaluate evolution fluid flow formation fraction of solid free energy function governing equation grain refinement graphite growth velocity heat transfer instability interaction interdendritic interface energy Kurz lamellar lever rule mass mechanism melt metal microsegregation microshrinkage microstructure mold morphology Nastac nucleation nuclei obtained occurs particle partition coefficient peritectic phase diagram planar predicted pressure radius S/L interface Scheil equation segregation shown in Figure solid fraction Solidification Processes solidification velocity solved source term structure surface energy temperature gradient typical undercooling volume element zone