Page 11 - Process Modelling and Simulation With Finite Element Methods

X Process Modelling and Simulation with Finite Element Methods

2.1.4 Boundary Conditions 85
2.1.5 Basic Elements 89
2.2 summary 105
References 105
3 Multiphysics 107
W. B. J. Zimmerman
3.1 Introduction 107
3.2 Buoyant Convection. 108
3.3 Unsteady Response of a Nonlinear Tubular Reactor 123
3.4 Heterogeneous Reaction in a Porous Catalyst Pellet 129
3.5 Discussion 135
References 136

4 Extended Multiphysics 137
W. B. J. Zimmerman, P. 0. Mchedlov-Petrossyan and
G. A. Khomenko
4.1 Introduction 137
4.2 Heterogeneous Reaction in a Fixed Bed with Premixed Feed 140
4.3 Primacy of the Buffer Tank 152
4.4 Linking the 2-D Buffer Tank to the 1-D Heterogeneous Reactor 162
4.5 Bioreactor Kinetics 167
4.6 Discussion 170
References 171

5 Simulation and Nonlinear Dynamics 173
W. B. J. Zimmerman
5.1 Introduction 173
5.2 Rayleigh-Benard Convection 178
5.2.1 Heating from Above 180
5.2.2 Heating from Below 184
5.2.3 Agreement with Thin Layer Theory 190
5.3 Viscous Fingering Instabilities 192
5.3.1 Streamfunction-Vorticity Model with Periodic BCs 202
5.4 Summary 210
References 212

6 Geometric Continuation 215
W. B. J. Zimmerman and A. F. Routh
6.1 Introduction 215
6.2 Stationary Geometric Continuation: Pressure Drop in a
Channel with an Orifice Plate 217