Preface xi
Abdelghani SAOUAB, St©phane CHAMPMARTIN and Jaafar Khalid NACIRI
Chapter 1 Kinetics of Microphase Separation in Interpenetrating Polymer Gels 1
Mabrouk BENHAMOU
1.1 Introduction 1
1.2 Static study of microphase separation 3
1.3 Kinetic study of microphase separation 5
1.4 Discussion 9
1.5 References 11
Chapter 2 Physics of Hydrodynamic Interactions 15
St©phane CHAMPMARTIN
2.1 Introduction 15
2.2 Equations of low Reynolds number fluid mechanics 18
2.3 Resistance matrix 21
2.4 Sphere in hydrodynamic interaction in a cylindrical tube 22
2.5 Pair of spheres in hydrodynamic interaction 30
2.6 Conclusion 34
2.7 References 34
Chapter 3 Stokes Flows â" Applications to Creeping Flows Around Obstacles and to Flows in Porous Media 37
Mustapha HELLOU, Mohammed Khaled BOURBATACHEand Franck LOMIN
3.1 Introduction 37
3.2 Several solutions to the Stokes equation in two-dimensional flow 39
3.3 Application to flows around obstacles 44
3.4 Application to the calculation of the permeability of periodical porous media 56
3.5 Conclusion 63
3.6 References 64
Chapter 4 The Yield Stress Method for the Characterization of Pore Size Distribution of Porous Media: Progress Review 67
Antonio RODRIGUEZ DE CASTRO, Azita AHMADI-SENICHAULTand Abdelaziz OMARI
4.1 Introduction 67
4.2 Yield stress method 70
4.3 Experimental validation of YSM method 74
4.4 Physical significance of the pore size characterized by YSM 80
4.5 Extension of YSM to rough fractures 84
4.6 Conclusion 90
4.7 References 90
Chapter 5 Instabilities and Transition to Turbulence in the Couetteâ"Taylor Flow of a Shear-thinning Viscoelastic Liquid 95
Noureddine LATRACHE, Fay§al KELAI, Olivier CRUMEYROLLEand Innocent MUTABAZI
5.1 Introduction 95
5.2 Experimental set-up and physicochemical characterization of the polymer 99
5.3 Results 101
5.4 Conclusion 117
5.5 References 118
Chapter 6 Application of the WKB Method to the Study of Flow Stability Generated by Low-frequency Modulation of Boundary Conditions 121
Sa¯d ANISS and Mouh ASSOUL
6.1 Introduction 122
6.2 Application of WKB method for studying the effect of low-frequency phase modulation of temperature on the convection threshold of a fluid layer 127
6.3 Application of the WKB method to the study of pulsed flow stability generated by in-phase low-frequency oscillation, in Taylorâ"Couette geometry 138
6.4 Conclusion 145
6.5 References 145
Chapter 7 Multiplicity of Convective Flows in a Horizontal Annular Layer 151
Abdelkader MOJTABI and Marie-Catherine CHARRIER-MOJTABI
7.1 Introduction 151
7.2 Mathematical formulation 158
7.3 Various analytical solutions obtained in natural convection 159
7.4. Analytical solution of the convective flow for small annular spaces 160
7.5. Linear stability analysis of the analytically obtained single-cell flow 162
7.6 Conclusion 168
7.7 References 170
Chapter 8 Instability Modeling in Structural Mechanics: Buckling and Wrinkling 173
Noureddine DAMIL and Michel POTIER-FERRY
8.1 Introduction 173
8.2 Classical multi-scale asymptotic approach to instabilities 176
8.3 Another multiple scale method for modeling instabilities: Fourier series with slowly varying coefficients 180
8.4 Various macroscopic models used to describe the formation of instability patterns 185
8.5 A 2D Fourier double scale analysis of global-local instability interaction in sandwich structures 194
8.6 A reduced model based on the multiple scale method in the case of a wrinkling with variable orientation 199
8.7 Conclusion 207
8.8 References 207
Chapter 9 Electrochemical Methods for the Study of Wall Transfer Phenomena 213
Claude DESLOUIS, Bernard TRIBOLLET, Abdellah ARHALIASSand Jack LEGRAND
9.1 Introduction 213
9.2 Principles and definitions 215
9.3 Results in Newtonian fluids 218
9.4 Electrochemical measurements in non-Newtonian media 231
9.5 Conclusion 244
9.6 References 244
Chapter 10 Simulation of the Resin Infusion Process using the Multilayer Approach: An Industrial Case Application 251
Raounak LOUDAD, Abdelghani SAOUAB and Pierre BEAUCHENE
10.1 Introduction 251
10.2 Mathematical modeling 254
10.3 Numerical approach 255
10.4 Analytical modeling of 1D VARI 257
10.5 Model validation 260
10.6 Industrial application 269
10.7 Conclusion 274
10.8 References 275
List of Authors 279
Index 283
