In this paper, we develop some considerations concerning the structure of coalescence, breakage and volume 'scattering' kernels appearing in the evolution equation related to a new model for the dynamics of liquid-liquid dispersions and show some numerical simulations. The mathematical model has been presented in [3,4], where a proof of the existence and uniqueness for a classical solution to the integro-differential equation describing the physical phenomenon is provided as well as a complete analysis of the general characteristics of the integral kernels. Numerical simulations agree with experimental data and with the expected asymptotical behavior of the solution.
A new model for the dynamics of dispersions in a batch reactor: numerical approach / F. ROSSO; A. MANCINI. - In: MECCANICA. - ISSN 0025-6455. - STAMPA. - 37:(2002), pp. 221-237.
A new model for the dynamics of dispersions in a batch reactor: numerical approach
ROSSO, FABIO;MANCINI, ALBERTO
2002
Abstract
In this paper, we develop some considerations concerning the structure of coalescence, breakage and volume 'scattering' kernels appearing in the evolution equation related to a new model for the dynamics of liquid-liquid dispersions and show some numerical simulations. The mathematical model has been presented in [3,4], where a proof of the existence and uniqueness for a classical solution to the integro-differential equation describing the physical phenomenon is provided as well as a complete analysis of the general characteristics of the integral kernels. Numerical simulations agree with experimental data and with the expected asymptotical behavior of the solution.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.