The Mathematics of DiffusionThough it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained. |
Contents
The diffusion equations | 11 |
Methods of solution when the diffusion coefficient is constant | 11 |
Infinite and semiinfinite media | 28 |
Diffusion in a plane sheet | 44 |
Diffusion in a cylinder | 69 |
Diffusion in a sphere | 89 |
methods of solution | 104 |
Numerical methods | 137 |
NonFickian diffusion | 254 |
Diffusion in heterogeneous media | 266 |
Moving boundaries | 286 |
Diffusion and chemical reaction | 326 |
Simultaneous diffusion of heat and moisture | 352 |
Tables | 375 |
| 399 | |
| 407 | |
Some calculated results for variable diffusion coefficients | 160 |
The definition and measurement of diffusion coefficients | 203 |
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Common terms and phrases
amount of diffusing approximation assumed Barrer Bessel functions boundary conditions C₁ C₂ calculated Carslaw and Jaeger concentration C₁ concentration distribution concentration-dependent Concentration-distance curves constant concentration corresponding Crank curves are values cylinder D/Do D₁ D₂ deduced denote desorption curves diffusing substance diffusion coefficient diffusion equation equilibrium erfc error function evaluated evaporation experimental exponential expression fibres finite finite-difference flow Fractional uptake function given heat heat conductivity immobilized increases initial concentration integration Laplace transform linear membrane method molecules moving boundary Numbers on curves numerical solutions obtained one-dimensional ordinary differential equation parameters partial differential equation plane sheet plotted polymer problem R₁ rate of transfer reaction region roots semi-infinite medium shown in Fig sorption and desorption sorption curve sphere steady-state surface concentration Table temperature thickness tion unit area vapour pressure variables volume x₁ zero әс дс дх