## The Mathematics of Diffusion |

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### Contents

The diffusion equations | 1 |

Methods of solution when the diffusion coefficient is constant | 11 |

Infinite and seminfinite media | 28 |

Copyright | |

15 other sections not shown

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### Common terms and phrases

amount applied approach approximation assumed becomes boundary conditions calculated component composite considered constant corresponding Crank curves cylinder deduced defined depends derived described desorption determined differential diffusing substance diffusion coefficient diffusion equation direction discussed effect equal equation equilibrium evaluated evaporation example experiment experimental expression final finite flow follows fraction function given gives gradient heat hence increases infinite initial integration limiting linear mathematical measured medium membrane method molecules moving numerical obtained occurs parameters phase plane sheet plotted polymer positive pressure problem range reaction reference region relationship respect roots satisfied semi-infinite shown shows side simple solution sorption sphere steady-state substituting surface concentration Table taken takes temperature thickness tion transfer transform uniform unit uptake usual values vapour variables volume written zero