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.
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