Computational transport phenomena in bioprocessing with the approach of the optimized source term in the governing equations

Abstract

Progress in the modeling of bio and food industry\ud processes can be achieved by developing robust and efficient\ud codes. Even complex configurations can be tackled, featuring\ud multiphysics mechanisms that are interdependent or even\ud competing with each other. In this paper the use of optimized\ud ‘‘source terms’’ of the governing partial differential equations\ud are discussed, reporting on simulation results. The\ud related framework is addressed, as well as the potential of the\ud adopted approach

Mass and heat transfer modeling of bio-substrates during packaging

“…Lammertyn et al [11] and Opara and Zou [12] used PDEs but their works did not deal with MAPs. Some preliminary results with PDEs were reported by De Bonis and Ruocco [4]. In the present work, the complete modeling approach is presented with reference to the evolution of the head space composition for a selected model food (peeled ellipsoid cactus pears), including the effect of respiration and additional metabolic mechanisms.…”

“…To this end, mass, heat and momentum transfers can be usefully studied and speculated. The discipline shows its complexity as all transport phenomena can be intertwined and non-linearly interdependent [4].…”

“…The source terms at the right hand sides of Eqs. (4,5,7,8), related to the creation or destruction of the chemical species or microorganisms, are inferred upon next.…”

“…In this work, a kinetics-based approach is employed to come up with the source terms in Eqs. (4,5,7,8), depending on the adopted packaging configuration. All constants have been determined based on a special optimization procedure, as described later in Sect.…”

“…In order to include the residual metabolism or additional deteriorative reactions promoted by the oxygen (such as pigment oxidation, senescence, enzymatic reactions and so on [16]), an empirical optimized constant a dependent on the gas species has been included at the right hand sides of Eqs. (4,5). The adopted values of constants a are reported in Table 2.…”