Chapter 18 The Linear Breakage Equation: From Fundamental Issues to Numerical Solution Techniques

摘要: Publisher Summary The linear breakage equation is a partial integrodifferential belongs to more general class of population. This balances and describes the evolution particle size distribution (PSD) population undergoing breakage. limited excludes possibility self-similar solution leads static steady-state PSD (compare dynamic selfsimilarity). reason considerable development theory that corresponding inverse problem (estimation kernel from shape) much simpler than self-similarity theory. extension spatial dimensions including phenomena such as convection diffusion has been studied several analytical solutions were found. These terms can be phenomenological nature (e.g. modelling actual mixing situation in grinding equipment or refer processes. Breakage equations with one internal variable have physics literature mainly regard large time asymptotic scaling behavior.