Ebook: Liquids and Solids

6. 2 Creeping viscous flow in a semi-infinite channel 140 6. 3 Poiseuille flow in tubes of circular cross-section 144 6. 4 Motion of a Newtonian liquid between two coaxial cylinders 148 151 6. 5 Bodies in liquids 6. 6 liquid flow and intermolecular forces 154 Non-Newtonian liquids 157 6. 7 6. 8 Viscometers 160 Chapter 7 Surface effects 163 7. 1 Introduction 163 7. 2 Excess surface free energy and surface tension of liquids 163 7. 3 The total surface energy of liquids 167 7. 4 Surface tension and intermolecular forces 168 7. 5 Solid surfaces 171 7. 6 Specific surface free energy and the intermolecular potential 172 7. 7 liquid surfaces and the Laplace-Young equation 174 7. 8 liquid spreading 178 7. 9 Young's relation 181 7. 10 Capillary effects 184 7. 11 The sessile drop 187 7. 12 Vapour pressure and liquid-surface curvature 189 7. 13 The measurement of surface free energies 191 Chapter 8 High polymers and liquid crystals 197 8. 1 Introduction 197 8. 2 High polymers 197 8. 3 The mechanisms of polymerisation 198 8. 4 The size and shape of polymer molecules 199 8. 5 The structure of solid polymers 201 8. 6 The glass transition temperature 203 8. 7 Young's modulus of solid polymers 205 Stress-strain curves of polymers 8. 8 206 8. 9 Viscous flow in polymers 209 liquid crystals 8.

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1 Condensed phases.- 1.1 Introduction.- 1.2 The three phases of matter.- 1.3 Intermolecular forces.- 1.4 Solids.- 1.5 Liquids.- 2 The elastic properties of matter.- 2.1 Forces and equilibrium in a finite body.- 2.2 Elasticity.- 2.3 Stress.- 2.4 Strain.- 2.5 Infinitesimal strain.- 2.6 The relationship between stress and strain.- 2.7 Moduli of elasticity.- 2.8 The theorem of superposition.- 2.9 The linear, isotropic, elastic solid.- 2.10 Elastic moduli and intermolecular forces.- 2.11 Strain energy.- 2.12 The torsion of a right circular cylinder.- 2.13 Elastic limit and yield stress.- 2.14 The elasticity of liquids.- 3 The deformation and fracture of simple crystals.- 3.1 Introduction.- 3.2 Plastic deformation.- 3.3 Plastic deformation by slip.- 3.4 The theoretical critical resolved shear stress.- 3.5 Dislocations.- 3.6 The critical resolved shear stress and work hardening.- 3.7 Brittle fracture.- 3.8 The theoretical brittle strength.- 3.9 Ductile fracture.- 3.10 The plastic deformation of brittle solids.- 4 The liquid phase.- 4.1 Introduction.- 4.2 The tensile strength of liquids.- 4.3 Liquid flow.- 4.4 Coefficient of viscosity.- 4.5 Critical velocity.- 4.6 Fluidity and solidity.- 4.7 Models of simple liquids.- 4.8 Melting.- 4.9 Liquid helium.- 4.10 The two-fluid model of HeII.- 5 Ideal liquids.- 5.1 Introduction.- 5.2 Some large-scale properties of liquids.- 5.3 Real and ideal liquids.- 5.4 The acceleration of a liquid particle.- 5.5 Euler’s equations of motion.- 5.6 The equation of continuity.- 5.7 Solutions of Euler’s equations.- 5.8 Applications of the Bernoulli equation.- 5.9 Irrotational flow.- 5.10 The stream function.- 5.11 Circulation and vorticity.- 5.12 The Navier-Stokes equation.- 6 The slow viscous flow of liquids.- 6.1 Introduction.- 6.2 Creeping viscous flow in a semi-infinite channel.- 6.3 Poiseuille flow in tubes of circular cross-section.- 6.4 Motion of a Newtonian liquid between two coaxial cylinders.- 6.5 Bodies in liquids.- 6.6 Liquid flow and intermolecular forces.- 6.7 Non-Newtonian liquids.- 6.8 Viscometers.- 7 Surface effects.- 7.1 Introduction.- 7.2 Excess surface free energy and surface tension of liquids.- 7.3 The total surface energy of liquids.- 7.4 Surface tension and intermolecular forces.- 7.5 Solid surfaces.- 7.6 Specific surface free energy and the intermolecular potential.- 7.7 Liquid surfaces and the Laplace-Young equation.- 7.8 liquid spreading.- 7.9 Young’s relation.- 7.10 Capillary effects.- 7.11 The sessile drop.- 7.12 Vapour pressure and liquid-surface curvature.- 7.13 The measurement of surface free energies.- 8 High polymers and liquid crystals.- 8.1 Introduction.- 8.2 High polymers.- 8.3 The mechanisms of polymerisation.- 8.4 The size and shape of polymer molecules.- 8.5 The structure of solid polymers.- 8.6 The glass transition temperature.- 8.7 Young’s modulus of solid polymers.- 8.8 Stress-strain curves of polymers.- 8.9 Viscous flow in polymers.- 8.10 liquid crystals.- Appendix 1 Exercises.- Appendix 2 Answers to exercises.