This paper is concerned with the numerical analysis of the behavior of a homogeneous tubular reactor in which a cubic autocatalytic reaction is coupled to diffusion and convection transport. The set of one-dimensional partial differential equations describing the reaction-diffusion-convection system is analyzed using different standard reduction techniques (finite difference, orthogonal colloca...

The mechanism of displacement washing of packed bed of porous, compressible and cylindrical particles, e.g., fibers, is presented with the help of an axial dispersion model involving Peclet number (Pe) and Biot number (Bi). Bulk fluid concentration, intra-pore solute concentration and concentration of solute adsorbed on the fiber surface are taken to be the function of washing time and position...

Mathematical models of the mamalian urine concentrating mechanism consist of a large system of coupled, nonlinear and stiff equations. An efficient numerical orthogonal collocation method was employed to solve the steady-state formulation of urine concentrating mechanism. This method was used to solve the stiff and high order equations of electrolyte transport in a central core, single nephron ...

Membranes enclosing capsules and biological cells undergo periodic compression and stretching due to an imparted hydrodynamic traction as they rotate in a shear flow. Compression may cause transient or permanent buckling manifested by the onset of wrinkled shapes. To study the effect of pre-compression and pre-stretching on the critical conditions for buckling, the response of an elastic circul...

In this contribution the solution of Fractional Optimal Control Problems (FOCP) by using Orthogonal Collocation Method (OCM) and Multi-objective Optimization Stochastic Fractal Search (MOSFS) algorithm is investigated. For purpose, three classical case studies on engineering are considered. Initially, concentration profiles laccase enzyme production process analyzed to evaluate influence fracti...

Chemotherapeutics are often treated as having a lumped tumor effect, however, the growth state and exposure for individual cancer cells ultimately determines the response of the tumor to treatment. A multi-staged, age structured cell population balance equation (PBE) capable of cell-cycle tracking was formulated to account for this limitation. The method of orthogonal collocation on finite elem...

Computational processmodels in combinationwith innovative designmethodologies provide a powerful reactor design platform. Yet, model-based design is mostly done in a pure deterministic way. Possible uncertainties of the underlying model parameters, prediction errors due to simplifying assumptions regarding the reactor behavior and suboptimal realizations of the design along the reaction coordin...

In this work we propose a simultaneous scheduling and control optimization formulation to address both optimal steady-state production and dynamic product transitions in multiproduct tubular reactors working in several parallel production lines. Because the problem involves integer and continuous variables and the dynamic behavior of the underlying system the resulting optimization problem is c...