Stationary states in random walks on networks

In this thesis we dealt with the problem of describing a transportation network in which the objects in movement were subject to both finite transportation capacity and finite accomodation capacity. The movements across such a system are realistically of a simultaneous nature which poses some challenges when formulating a mathematical description. We tried to derive such a general modellization from one posed on a simplified problem based on asyncronicity in particle transitions. We did so considering one-step processes based on the assumption that the system could be describable through discrete time Markov processes with finite state space. After describing the pre-established dynamics in terms of master equations we determined stationary states for the considered processes. Numerical simulations then led to the conclusion that a general system naturally evolves toward a congestion state when its particle transition simultaneously and we consider one single constraint in the form of network node capacity. Moreover the congested nodes of a system tend to be located in adjacent spots in the network, thus forming local clusters of congested nodes.

Verification of rupture disc sizing of Acrylic Reactor

The primary goal of this thesis is to verify the rupture disc sizing of the acrylic reactor. Primarily the test to check the sizing was divided into several stages. It went on to examine ideas to explain the concern and ethical ways, as well as remedies and suggestions to solve the issues and difficulties that were discovered. This thesis will highlight the gathering and arranging of reaction data (recipe composition, enthalpies, reaction temperature, and catalyst feeding times) of the products to be chosen, in accordance with pre-established criteria. To collaborate with the research and development team in the lab to carry out calorimetric testing for the important recipes that have been identified. The verification of the currently installed Rupture Discs in the plant based on the calorimetric test findings is the final stage. This thesis used two separate calorimetry techniques: Phi-TEC II adiabatic calorimetry and differential scanning calorimetry (DSC). The target of the experiment is to check and confirm the correct size of the reactor rupture disc. Arkema (Boretto/Coatex) plant (Emilia romagna) provided a recipe and a scenario following multiple meetings and discussions. The purpose of this technical paper is to describe the outcomes of adiabatic calorimetry performed at the lab scale so that the computation of the vents for a particular recipe and scenario can be verified.