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Author:   Jean-Maurice Vergnaud ,  Jean Bouzon
Publisher:   Springer London Ltd
Imprint:   Springer London Ltd
Edition:   Softcover reprint of the original 1st ed. 1992
Dimensions:   Width: 17.00cm , Height: 2.10cm , Length: 24.20cm
Weight:   0.700kg
ISBN:  

9781447119173

ISBN 10:   1447119177
Pages:   382
Publication Date:   01 December 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 Principles and General Equations.- 1.1 Modes of Heat Transmission.- 1.1.1 Conduction.- 1.1.2 Convection (Natural or Forced).- 1.1.3 Radiation.- 1.2 General Laws of Heat Transmission.- 1.2.1 Conduction (Unsteady and Steady State).- 1.2.2 Convection.- 1.2.3 Radiation.- 1.3 Equations of Heat Conduction in Isotropic Solids.- 1.3.1 Sheet.- 1.3.2 Parallelepiped.- 1.3.3 Sphere.- 1.3.4 Cylinder (Infinite or Finite Length).- 1.4 Initial and Boundary Conditions.- 1.4.1 Initial Conditions.- 1.4.2 Boundary or Surface Conditions.- 1.5 General Equation of Cure Reaction.- 1.5.1 Studies of Cure Reaction by Calorimetry.- 1.5.2 Expression of the Kinetics of Reaction.- 1.6 General Equation for Heat Transfer with Internal Reaction.- 2 Methods of Solution of Equations of Heat Conduction with Constant Thermal Parameters and Without Reaction.- 2.1 Introduction.- 2.2 Separation of Variables.- 2.3 Reflection and Superposition.- 2.3.1 Thin Plane Source.- 2.3.2 Reflection at a Boundary.- 2.3.3 Heat Located in a Semi-infinite Medium.- 2.3.4 Heat Located in a Sheet.- 2.4 Laplace Transform.- 2.4.1 Principle.- 2.4.2 Heat Conduction Through a Semi-infinite Medium.- 3 Heat Conduction in a Plane Sheet.- 3.1 Introduction.- 3.2 Non-steady Conduction with Very High Coefficient of Surface Heat Transfer.- 3.2.1 Sheet with Uniform Initial Temperature and Constant Surface Temperatures 0 < x < L.- 3.2.2 Sheet with Initial Temperature f(x) and Different Constant Surface Temperatures.- 3.2.3 Sheet Immersed in a Well-Stirred Fluid of Finite Volume.- 3.2.4 Sandwich Material Immersed in a Well-Stirred Fluid of Infinite Volume.- 3.3 Non-steady Conduction with a Finite Coefficient of Surface Heat Transfer.- 3.4 Steady Conduction.- 3.4.1 Given Temperatures at the Two External Surfaces.- 3.4.2 Finite Coefficient of Surface Heat Transfer.- 3.4.3 Thermal Conductivity a Function of Temperature.- 4 Heat Conduction in a Sphere.- 4.1 Introduction.- 4.1.1 General Equation.- 4.1.2 Case of Radial Conduction.- 4.2 Non-steady Conduction with Very High Coefficient of Surface Heat Transfer.- 4.2.1 Sphere with Uniform Initial Temperature and Constant Surface Temperature.- 4.2.2 Sphere in Contact with a Well-Stirred Fluid of Finite Volume.- 4.3 Non-steady Conduction with Finite Coefficient of Surface Heat Transfer.- 4.4 Steady Radial Conduction Within a Hollow Sphere with Constant Temperature at Each Surface.- 5 Heat Conduction in a Cylinder.- 5.1 Introduction.- 5.1.1 Case of a Circular Cylinder of Infinite Length.- 5.2 Non-Steady Conduction in a Solid Cylinder of Infinite Length.- 5.2.1 Constant Initial Temperature in the Cylinder and Constant Surface Temperature.- 5.2.2 Conduction in a Strongly Stirred Fluid of Limited Volume (Very High Coefficient of Surface Convection).- 5.2.3 Convection in a Slightly Stirred Fluid of Infinite Volume (Finite Coefficient of Surface Convection).- 5.3 Non-Steady Conduction in a Hollow Cylinder of Infinite Length.- 5.3.1 Surfaces Maintained at the Same Constant Temperature.- 5.3.2 Surfaces Maintained at Different Constant Temperatures.- 5.4 Steady Radial Conduction in a Hollow Cylinder of Infinite Length.- 5.4.1 Given Constant Temperatures at Each Surface.- 5 4 2 Infinite Coefficient of Convection at Internal Surface and Finite Coefficient at External Surface.- 5.5 Non-Steady Conduction in a Cylinder of Finite Length with a Constant Temperature at the Surface (Infinite Coefficient of Surface Convection).- 6 Heat Conduction in a Rectangular Parallelepiped.- 6.1 Introduction.- 6.2 Non-Steady Conduction in a Rectangular Parallelepiped with a Uniform Initial Temperature.- 6 2 1 Infinite Coefficient of Surface Convection.- 6.2.2 Finite Coefficient of Surface Convection.- 7 Numerical Analysis for a Plane Sheet. One-Dimensional Heat Transfer and Cure Reaction.- 7.1 Introduction.- 7.2 No Reaction, Constant Thermal Parameters.- 7.2.1 Within the Sheet.- 7.2.2 On the Surfaces of the Sheet.- 7.2.3 Amount of Heat Transferred.- 7.3 No Reaction, Temperature-Dependent Thermal Parameters.- 7.3.1 Within the Sheet.- 7.3.2 On the Surfaces of the Sheet.- 7.3.3 Calculation of Thermal Parameters.- 7.3.4 Amount of Heat Transferred,.- 7.4 Heat Evolved from Reaction.- 7.4.1 Apparent Order of Reaction Different from One.- 7.4.2 Apparent Order of Reaction Equal to One.- 7.5 Heat Transfer and Reaction Heat.- 7.5.1 Constant Thermal Parameters.- 7.5.2 Temperature-Dependent Thermal Parameters.- 8 Numerical Analysis for a Cylinder.- 8.1 Introduction.- 8.2 Solid Cylinder of Infinite Length with Radial Heat Transfer, with or Without Internal Reaction, with Constant Thermal Parameters.- 8.2.1 Within the Cylinder.- 8.2.2 On the Surface.- 8.2.3 Stability of Calculations.- 8.3 Solid Cylinder of Infinite Length with Radial Heat Transfer, with or Without Internal Reaction, with Temperature-Dependent Thermal Parameters.- 8.3.1 Within the Cylinder.- 8.3.2 On the Surface.- 8.4 Solid Cylinder of Finite Length, with or Without Reaction, with Constant Thermal Parameters.- 8.4.1 Within the Cylinder.- 8.4.2 Given Temperature on the Surface.- 8.4.3 Finite Coefficient of Convection at the Surface.- 8.5 Solid Cylinder of Finite Length, with or Without Reaction, with Temperature-Dependent Thermal Parameters.- 8.5.1 Within the Cylinder.- 8.5.2 Given Temperature on the Surface.- 8.5.3 Finite Coefficient of Convection at the Surface.- 8.6 Hollow Cylinder of Infinite Length, with or Without Reaction, with Constant Thermal Parameters.- 8.6.1 Within the Cylinder Wall.- 8.6.2 Given Temperature on Each Surface.- 8.6.3 Finite Coefficient of Convection at Each Surface.- 8.7 Hollow Cylinder of Infinite Length, with or Without Reaction, with Temperature-Dependent Thermal Parameters.- 8.7.1 Within the Cylinder Wall.- 8.7.2 Given Temperature on Each Surface.- 8.7.3 Finite Coefficient of Convection at the Surface.- 8.8 Hollow Cylinder of Finite Length, with or Without Reaction, with Constant Thermal Parameters.- 8.8.1 Within the Cylinder Wall.- 8.8.2 Given Temperature on Each Surface.- 8.8.3 Finite Coefficient of Convection at the Surface.- 8.9 Hollow Cylinder of Finite Length, with or Without Reaction, with Temperature-Dependent Thermal Parameters.- 8.9.1 Within the Cylinder Wall.- 8.9.2 Given Temperature on the Surface.- 8.9.3 Finite Coefficient of Convection at the Surface.- 9 Numerical Analysis for a Sphere.- 9.1 Introduction.- 9.2 Solid Sphere with Radial Heat Transfer, with or without Internal Reaction, with Constant Thermal Parameters.- 9.2.1 Within the Sphere.- 9.2.2 On the Surface.- 9.2.3 Stability of Calculations.- 9.3 Solid Sphere with Radial Heat Transfer, with or without Internal Reaction, with Temperature-Dependent Thermal Parameters.- 9.3.1 Within the Sphere.- 9.3.2 On the Surface.- 10 Numerical Analysis for a Parallelepiped with Three-Dimensional Heat Transfer and Cure Reaction.- 10.1 Introduction.- 10.2 Temperature-Dependent Thermal Parameters with Reaction.- 10.2.1 Within the Resin.- 10.2.2 Interface Between Resin and Mould.- 10.2.3 Edge and Corner Between Resin and Mould.- 10.2.4 Surface of the Mould or Resin in Contact with a Fluid.- 10.3 Constant Thermal Parameters with Reaction.- 10.3.1 Within the Resin.- 10.3.2 Surface of the Mould or Resin in Contact with a Fluid.- 10.3.3 Edge and Corner of the Mould or Resin in Contact with a Fluid.- 10.3.4 Stability of Calculations. Symmetry.- 11 Determination of the Kinetics of Cure and Its Problems.- 11.1 Techniques Used for Measuring the Change in Properties During Cure.- 11.1.1 Cure of Rubbers.- 11.1.2 Cure of Thermosetting Resins.- 11.1.3 Comparison Between the Cure of Rubbers and Thermosets.- 11.2 Calorimetry, Its Principles and Problems.- 11.2.1 Isothermal Differential Calorimetry.- 11.2.2 Differential Scanning Calorimetry.- 11.2.3 Size of the Sample in Calorimetry; Good Contact Between Sample and Holder.- 1.2.4 Making a Choice Between DC and DSC.- 12 Isothermal Differential Calorimetry.- 12.1 Introduction.- 12.1.1 Change of Sample Temperature with Time.- 12.1.2 Quality of Contact Between the Sample and Calorimeter.- 12.1.3 Modelling of the Process in DC.- 12.2 DC with Direct Contact Between the Sample and Calorimeter.- 12.2.1 Numerical Model.- 12.2.2 Results for Cure of Low Enthalpy.- 12.2.3 Results for Cure of High Enthalpy.- 12.3 DC with Indirect Contact Between the Sample and Calorimeter.- 12.3.1 Numerical Model.- 12.3.2 Results.- 12.4 Conclusions.- 13 Differential Scanning Calorimetry.- 13.1 Introduction.- 13.1.1 Comparison Between DSC and Gas Chromatography.- 13.1.2 Principles of DSC.- 13.2 Theoretical Aspects of DSC.- 13.2.1 Treatment of the Kinetic Curves Obtained when the Heating Rate is Low.- 13.2.2 Modelling of the Process with a High Heating Rate.- 13.3 Results Obtained with DSC: Effect of Heating Rate.- 13.3.1 Heating Rate and Separation of Various Phenomena in the Sample.- 13.3.2 Heating Rate and Sample Size Without Reaction.- 13.3.3 Heating Rate and Sample Size with a Reaction of Low Enthalpy.- 13.3.4 Heating Rate and Sample Size with a Reaction of High Enthalpy.- 13.3.5 Heating Rate and Cure Enthalpy.- 13.3.6 Heating Rate and Kinetic Parameters.- 13.4 Conclusions on DSC and DC.- 13.4.1 Drawbacks of DC.- 13.4.2 Drawbacks of DSC and Best Working Method.- 14 Variation of Enthalpy and Kinetic Parameters of the Cure of Epoxy Resin with the Composition of the Binary System.- 14.1 Introduction.- 14.2 Theory.- 14.3 Experiment.- 14.4 Results.- 14.4.1 Validity of the Kinetic Equation.- 14.4.2 Kinetic Parameters as a Function of the Resin Formulation.- 14.5 Conclusions.- 15 Cure of Epoxy Resin in a Long Cylindrical Mould Heated by Air.- 15.1 Introduction.- 15.2 Modelling of the Process.- 15.2.1 Mathematical Treatment.- 15.2.2 Modelling and Numerical Analysis.- 15.3 Experiment.- 15.4 Results.- 15.4.1 Validity of the Model.- 15.4.2 Effect of the Kinetic Parameters of the Resin.- 15.4.3 Effect of the Thermal Parameters of the Resin.- 15.4.4 Effect of the Size of the Mould.- 15.4.5 Effect of Temperature.- 15.5 Conclusions.- 16 Cure of Epoxy Resin in a Long Cylindrical Mould Heated by Oil — Applications to Heat Dissipation and Reactive Injection Moulding.- 16.1 Introduction.- 16.2 Modelling of the Process.- 16.2.1 Mathematical Treatment.- 16.2.2 Modelling and Numerical Analysis.- 16.3 Study of the Process with Oil at Constant Temperature.- 16.3.1 Experiment.- 16.3.2 Results.- 16.3.3 Conclusions.- 16.4 Study of the Process with Fibre Glass-Epoxy Resin Heated By Oil. Effect of Kinetic and Thermal Parameters.- 16.4.1 Experiment.- 16.4.2 Cure Process and Validity of the Model.- 16.4.3 Effect of the Thermal Parameters.- 16.4.4 Effect of the Kinetic Parameters.- 16.5 Study of the Dissipation of Heat, with the Epoxy Resin Composite Heated by Oil.- 16.5.1 Experiment.- 16.5.2 Process of Cure and Validity of the Model.- 16.5.3 Effect of the Length of the Cooling Period tc.- 16.5.4 Effect of the Time at Which the Cooling Starts tch.- 16.5.5 Conclusions.- 16.6 Simulation of the Process of Reactive Injection Moulding.- 16.6.1 Experiment.- 16.6.2 Process and Validity of the Model.- 16.6.3 Effect of the Temperature of Injection.- 16.6.4 Conclusions.- 17 Simultaneous Determination of Resistance to Torsion and State of Cure.- 17.1 Introduction.- 17.2 Experiment.- 17.3 Theory.- 17.4 Results for Cure and Resistance to Torsion.- 17.4.1 Variation of Mechanical Properties During Cure.- 17.4.2 Profiles of Temperature and SOC Through the Sheet.- 17.5 Conclusions.- 18 Cure of a Loaded Polyester Resin in a Metallic Mould.- 18.1 Introduction.- 18.2 Theory.- 18.3. Experiment.- 18.4 Results.- 18.4.1 Validity of the Model.- 18.4.2 Effect of Temperature.- 18.4.3 Effect of Stirring the Oil.- 18.5 Conclusions.- 19 Modelling the Cure of Epoxy Resin Coating at Low Temperature (50 °C).- 19.1 Introduction.- 19.2 Experiment.- 19.3 Theory.- 19.4 Results.- 19.4.1 Determination of the SOC in the Coating.- 19.4.2 Hardness of the Coating in Relation to the SOC.- 19.5 Conclusions.- Author Index.

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