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Drying of Polymeric and Solid Materials shows for the first time how the process of drying can be enhanced by combining mathematical and numerical models with experiments. The main advantages of this method are a significant saving of time and money. Numerical modelling can predict the kinetics of drying and the profiles of liquid concentration through the solid. This helps in the selection of optimal operational conditions. The simulation of the process is also crucial in the assessment of diffusity and the rate of evaporation.
Drying of Polymeric and Solid Materials shows for the first time how the process of drying can be enhanced by combining mathematical and numerical models with experiments. The main advantages of this method are a significant saving of time and money. Numerical modelling can predict the kinetics of drying and the profiles of liquid concentration through the solid. This helps in the selection of optimal operational conditions. The simulation of the process is also crucial in the assessment of diffusity and the rate of evaporation.
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Inhaltsangabe
1 Principles and General Equations.- 1.1 Transport of Liquid Through a Solid.- 1.2 Evaporation of Liquid from the Surface.- 1.3 Diffusion of Vapour Outside the Solid.- 1.4 Effect of Parameters.- 1.5 General Equations.- 2 Thin Plane Sheet.- 2.1 Non-steady State with Infinite Rate of Evaporation.- 2.2 Non-steady State with Finite Rate of Evaporation.- 2.3 Membrane Suspended in an Infinite Atmosphere.- 2.4 Conclusions.- Appendixes. Methods of Solution of Fick's Law When the Diffusivity is Constant.- 2. A Separation of Variables.- 2.B Diffusion-Evaporation From a Plane Sheet of Thickness L, with Infinite Rate of Evaporation.- 2.C Half-Life of Desorption Process.- 2.D Reflection and Superposition.- 2.E Error Function.- 2.F Layer of Diffusing Substance on a Permeable Sheet, with Infinite Rate of Evaporation.- 2.G Membrane with Constant Concentration on Each Surface, and Infinite Rate of Evaporation.- 3 Cylinder.- 3.1 Solid Cylinder of Infinite Length, Non-steady State with Constant Diffusivity.- 3.2 Cylinder of Finite Length, Non-steady State.- 3.3 Liquid-Filled Hollow Cylinder of Infinite Length, Steady State.- 3.4 Conclusions.- Appendix. Radial Diffusion in a Solid Cylinder of Infinite Length with Infinite Rate of Evaporation.- 4 Sphere.- 4.1 Solid Sphere, Non-steady State with Infinite Rate of Evaporation.- 4.2 Solid Sphere, Non-steady State with Finite Rate of Evaporation.- 4.3 Liquid-Filled Hollow Sphere.- 4.4 Conclusions.- 5 Numerical Analysis for a Plane Sheet.- 5.1 Infinite Rate of Evaporation.- 5.2 Finite Rate of Evaporation.- 5.3 Conclusions.- 6 Numerical Analysis for a Cylinder.- 6.1 Solid Cylinder of Infinite Length with Infinite Rate of Evaporation.- 6.2 Solid Cylinder of Infinite Length with Finite Rate of Evaporation.- 6.3 Solid Cylinder of Finite Length withInfinite Rate of Evaporation.- 6.4 Solid Cylinder of Finite Length with Finite Rate of Evaporation.- 6.5 Liquid-Filled Hollow Cylinder of Infinite Length with Infinite Rate of Evaporation.- 6.6 Liquid-Filled Hollow Cylinder of Infinite Length with Finite Rate of Evaporation.- 6.7 Liquid-Filled Hollow Cylinder of Finite Length with Infinite Rate of Evaporation.- 6.8 Liquid-Filled Hollow Cylinder of Finite Length with Finite Rate of Evaporation.- 6.9 Conclusions.- 7 Numerical Analysis for a Sphere.- 7.1 Solid Sphere with Infinite Rate of Evaporation.- 7.2 Solid Sphere with Finite Rate of Evaporation.- 7.3 Liquid-Filled Hollow Sphere with Infinite Rate of Evaporation.- 7.4 Liquid-Filled Hollow Sphere with Finite Rate of Evaporation.- 7.5 Conclusions.- 8 Diffusion-Evaporation in Two and Three Dimensions: Isotropic and Anisotropic Media.- 8.1 Introduction.- 8.2 Two Dimensions with Infinite Rate of Evaporation.- 8.3 Two Dimensions with Finite Rate of Evaporation.- 8.4 Three Dimensions with Infinite Rate of Evaporation.- 8.5 Three Dimensions with Finite Rate of Evaporation.- 8.6 Conclusions ..- 9 Drying of Paints.- 9.1 Introduction.- 9.2 One Layer.- 9.3 Two Layers.- 9.4 Conclusions.- 10 Drying of Wet Earth for Adobe Construction.- 10.1 Introduction.- 10.2 Modelling the Drying of Wet Earth.- 10.3 Conclusions.- 11 Drying of Rubbers.- 11.1 Introduction.- 11.2 Thin Sheets.- 11.3 Cylinders of Finite Length.- 11.4 Tubes of Infinite Length.- 11.5 Annuli.- 11.6 Conclusions of the Drying of Rubbers.- 12 Drying of Plasticised PVC.- 12.1 Introduction.- 12.2 Drying Process.- 12.3 Conclusions.- 13 Drying of Wood.- 13.1 Introduction.- 13.2 Thin Sheets.- 13.3 Diffusion-Evaporation in Two Dimensions.- 13.4 Diffusion-Evaporation in Three Dimensions.- Symbols.- 14 Drying of Thermosetting Coatings.- 14.1 Introduction.- 14.2 Drying Process.- 14.3 Conclusions.- 15 Drying of Dosage Forms for Medical Applications.- 15.1 Introduction.- 15.2 Drying in an Infinite Atmosphere.- 15.3 Drying in an Finite Atmosphere.- 15.4 Drying Under Controlled Vapour Pressure.- 15.5 Conclusions.- 16 Drying of a Polymer Sphere with Shrinkage.- 16.1 Introduction.- 16.2 Theory.- 16.3 Experiment.- 16.4 Results.- 16.5 Conclusions.- Symbols.
1 Principles and General Equations.- 1.1 Transport of Liquid Through a Solid.- 1.2 Evaporation of Liquid from the Surface.- 1.3 Diffusion of Vapour Outside the Solid.- 1.4 Effect of Parameters.- 1.5 General Equations.- 2 Thin Plane Sheet.- 2.1 Non-steady State with Infinite Rate of Evaporation.- 2.2 Non-steady State with Finite Rate of Evaporation.- 2.3 Membrane Suspended in an Infinite Atmosphere.- 2.4 Conclusions.- Appendixes. Methods of Solution of Fick's Law When the Diffusivity is Constant.- 2. A Separation of Variables.- 2.B Diffusion-Evaporation From a Plane Sheet of Thickness L, with Infinite Rate of Evaporation.- 2.C Half-Life of Desorption Process.- 2.D Reflection and Superposition.- 2.E Error Function.- 2.F Layer of Diffusing Substance on a Permeable Sheet, with Infinite Rate of Evaporation.- 2.G Membrane with Constant Concentration on Each Surface, and Infinite Rate of Evaporation.- 3 Cylinder.- 3.1 Solid Cylinder of Infinite Length, Non-steady State with Constant Diffusivity.- 3.2 Cylinder of Finite Length, Non-steady State.- 3.3 Liquid-Filled Hollow Cylinder of Infinite Length, Steady State.- 3.4 Conclusions.- Appendix. Radial Diffusion in a Solid Cylinder of Infinite Length with Infinite Rate of Evaporation.- 4 Sphere.- 4.1 Solid Sphere, Non-steady State with Infinite Rate of Evaporation.- 4.2 Solid Sphere, Non-steady State with Finite Rate of Evaporation.- 4.3 Liquid-Filled Hollow Sphere.- 4.4 Conclusions.- 5 Numerical Analysis for a Plane Sheet.- 5.1 Infinite Rate of Evaporation.- 5.2 Finite Rate of Evaporation.- 5.3 Conclusions.- 6 Numerical Analysis for a Cylinder.- 6.1 Solid Cylinder of Infinite Length with Infinite Rate of Evaporation.- 6.2 Solid Cylinder of Infinite Length with Finite Rate of Evaporation.- 6.3 Solid Cylinder of Finite Length withInfinite Rate of Evaporation.- 6.4 Solid Cylinder of Finite Length with Finite Rate of Evaporation.- 6.5 Liquid-Filled Hollow Cylinder of Infinite Length with Infinite Rate of Evaporation.- 6.6 Liquid-Filled Hollow Cylinder of Infinite Length with Finite Rate of Evaporation.- 6.7 Liquid-Filled Hollow Cylinder of Finite Length with Infinite Rate of Evaporation.- 6.8 Liquid-Filled Hollow Cylinder of Finite Length with Finite Rate of Evaporation.- 6.9 Conclusions.- 7 Numerical Analysis for a Sphere.- 7.1 Solid Sphere with Infinite Rate of Evaporation.- 7.2 Solid Sphere with Finite Rate of Evaporation.- 7.3 Liquid-Filled Hollow Sphere with Infinite Rate of Evaporation.- 7.4 Liquid-Filled Hollow Sphere with Finite Rate of Evaporation.- 7.5 Conclusions.- 8 Diffusion-Evaporation in Two and Three Dimensions: Isotropic and Anisotropic Media.- 8.1 Introduction.- 8.2 Two Dimensions with Infinite Rate of Evaporation.- 8.3 Two Dimensions with Finite Rate of Evaporation.- 8.4 Three Dimensions with Infinite Rate of Evaporation.- 8.5 Three Dimensions with Finite Rate of Evaporation.- 8.6 Conclusions ..- 9 Drying of Paints.- 9.1 Introduction.- 9.2 One Layer.- 9.3 Two Layers.- 9.4 Conclusions.- 10 Drying of Wet Earth for Adobe Construction.- 10.1 Introduction.- 10.2 Modelling the Drying of Wet Earth.- 10.3 Conclusions.- 11 Drying of Rubbers.- 11.1 Introduction.- 11.2 Thin Sheets.- 11.3 Cylinders of Finite Length.- 11.4 Tubes of Infinite Length.- 11.5 Annuli.- 11.6 Conclusions of the Drying of Rubbers.- 12 Drying of Plasticised PVC.- 12.1 Introduction.- 12.2 Drying Process.- 12.3 Conclusions.- 13 Drying of Wood.- 13.1 Introduction.- 13.2 Thin Sheets.- 13.3 Diffusion-Evaporation in Two Dimensions.- 13.4 Diffusion-Evaporation in Three Dimensions.- Symbols.- 14 Drying of Thermosetting Coatings.- 14.1 Introduction.- 14.2 Drying Process.- 14.3 Conclusions.- 15 Drying of Dosage Forms for Medical Applications.- 15.1 Introduction.- 15.2 Drying in an Infinite Atmosphere.- 15.3 Drying in an Finite Atmosphere.- 15.4 Drying Under Controlled Vapour Pressure.- 15.5 Conclusions.- 16 Drying of a Polymer Sphere with Shrinkage.- 16.1 Introduction.- 16.2 Theory.- 16.3 Experiment.- 16.4 Results.- 16.5 Conclusions.- Symbols.
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