## Differential Equations Associated with Moving Boundary Problems and Their Solutions |

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### Contents

Solidification in x 0 with | 12 |

Introduction | 25 |

Lolting with Continuous Removal of | 29 |

6 other sections not shown

### Common terms and phrases

approximate solution arbitrary constant assume ature distribution change of phase Chapter constant flux constant rate constant temperature convection coordinate system curves cylindrical coordinates denote density determined equations and boundary erfc error function exact solution Figure finite slab fluid gives heat conduction heat equation heat of solidification heat-balance integral hence ICqs initial conditions initial temperature interface introduce Kreith last boundary condition latent heat linear liquid is initially liquid phase melting point method moving boundary obtained ordinary differential equation parameter phase change physical plane position problem considered region x satisfy 3qs saturated vapor separation of variables simultaneous equations solid and liquid solid phase solidification front solidification temperature specific heat sphere Spherical spherical coordinates subscript Substitution Supercooled Liquid surface of separation surface of solidification surface temperature temper temperature distribution temperature gradient temperature is given temperature TQ thermal constants tion transformation values variables