Kinetics and mechanism of homogeneous catalytic hydroxylation of maleic acid by hydrogen peroxide. Part II: Analysis of material balance conformities and the mathematical model

2007 ◽  
Vol 55 (2) ◽  
pp. 103-109 ◽  
Author(s):  
John O. Oludipe ◽  
Kolawole K. Koiki ◽  
Igor Yu. Litvintsev ◽  
Valentin N. Sapunov
Keyword(s):  
Mathematical Model ◽  
Hydrogen Peroxide ◽  
Maleic Acid ◽  
Material Balance ◽  
Kinetics And Mechanism ◽  
The Mathematical Model

Maleic Acid Oxidation Using A Heterogeneous Modified Polyacrylonitrile (PAN) Fibrous Catalyst

2011 ◽  
Vol 14 (2) ◽  
Author(s):  
George T. Chi ◽  
Katherine D. Huddersman
Keyword(s):  
Hydrogen Peroxide ◽  
Maleic Acid ◽  
Kinetics And Mechanism ◽  
Acid Oxidation ◽  
Mechanism Of Oxidation

AbstractThe effectiveness, kinetics and mechanism of oxidation of maleic acid in solution using a novel modified polyacrylonitrile (PAN) catalyst/hydrogen peroxide system was studied. The modified PAN catalyst contains immobilised Fe

Kinetics and mechanism of homogeneous catalytic hydroxylation of maleic acid by hydrogen peroxide. Part I: Formal kinetics

2007 ◽  
Vol 47 (2) ◽  
pp. 151-159 ◽  
Author(s):  
John O. Oludipe ◽  
Kolawole K. Koiki ◽  
Igor Yu. Litvintsev ◽  
Valentin N. Sapunov
Keyword(s):  
Hydrogen Peroxide ◽  
Maleic Acid ◽  
Kinetics And Mechanism ◽  
Formal Kinetics

Modelling of external filter cake profile along the well during drilling

2014 ◽  
Vol 54 (1) ◽  
pp. 319 ◽  
Author(s):  
Azim Kalantariasl ◽  
Abbas Zeinijahromi ◽  
Pavel Bedrikovetsky
Keyword(s):  
Mathematical Model ◽  
Velocity Profile ◽  
Filter Cake ◽  
Thickness Distribution ◽  
Material Balance ◽  
Force Balance ◽  
Predictive Tool ◽  
Physiochemical Properties ◽  
Cake Thickness ◽  
The Mathematical Model

This paper presents a new mathematical model to predict the steady-state external filter cake thickness distribution and velocity profile along the wellbore during overbalanced drilling. Several models have been suggested for the prediction of external cake thickness using the force balance method. Yet, a comprehensive literature survey reveals that electrostatic forces and the permeate force correction factor have been neglected, while both can significantly change the conditions of particle detachment from the cake surface. Torque balance of hydrodynamic (lifting, tangential and permeate drag), gravity and electrostatic (DLVO) forces along with Darcy’s law and material balance is used to investigate the conditions of particle attachment/detachment on the cake surface. The results show strong effects of mud chemistry, particle size, cake permeability, tangential flow velocity, overbalance pressure, and Young’s modulus on the external filter cake thickness and velocity profile. The mathematical model can be applied as a predictive tool for the estimation of filter cake thickness. It allows for the calculation of external filter cake distribution using the physiochemical properties of mud and particles.

AI OPTIMIZATION OF THE EXOTHERMIC REACTION OF ETHYLENE OXIDE WITH WATER

2021 ◽  
pp. 2150033
Author(s):  
Khaled A. Al-Utaibi ◽  
Ayesha sohail ◽  
Andleeb Zafar ◽  
Rana Talha ◽  
Sadiq M. Sait
Keyword(s):  
Mathematical Model ◽  
Analytical Solution ◽  
Ethylene Oxide ◽  
Ethylene Glycol ◽  
Exothermic Reaction ◽  
Plug Flow ◽  
Material Balance ◽  
Chemical Species ◽  
Future Research ◽  
The Mathematical Model

A computational framework, for the numerical approximation of the exothermic reaction of ethylene oxide (EO) with water, to form ethylene glycol is presented in this paper. Ethylene Glycol also known as Mono-ethylene Glycol (MEG), is a diol with a boiling of 198[Formula: see text]C and conventionally produced through hydrolysis of ethylene oxide which is obtained through the oxidation of ethylene. It is used as an excellent automobile coolant as the 1:1 ratio mixture of MEG with Water boils at 129[Formula: see text]C and freezes at [Formula: see text]C. Other than its use as an antifreeze, it is also used as a reagent during the production of polyester fibers, pharmaceutics, cosmetics, hydraulic fluids, printing inks, explosives, polyesters and paint solvents. The mathematical model presented here, consists of an energy balance and a material balance system, described in an axisymmetric coordinate system. The optimized resulting values using the artificial intelligence approach are summarized in this paper. We derive an analytical solution. The analytical solution for the mathematical model equations is in general not possible for this model but it may be possible to derive an analytical solution to this mathematical model if we consider the equation for the conservation of material (chemical species) as a formulation for plug flow and isothermal conditions. Noteworthy findings are reported in this paper for future research.

scholarly journals MATHEMATICAL MODELING OF TECHNOLOGICAL MODES OF HEAT-PUMPING SYSTEMS FOR TECHNOLOGICAL PROCESSES

2021 ◽  
pp. 85-91
Author(s):  
Boris Kotov ◽  
Vladimir Grishchenko ◽  
Yuriy Pantsir ◽  
Igor Garasimchuk
Keyword(s):  
Mathematical Model ◽  
Automatic Control ◽  
Heat Pump ◽  
Material Balance ◽  
Heat Pumps ◽  
Practical Implementation ◽  
Industrial Complex ◽  
Energy Potential ◽  
The Mathematical Model ◽  
Heat Carriers

One of the ways to increase the energy efficiency of the process of heat supply of technological facilities and production facilities of the agro-industrial complex is the use of heat pumps. Their use allows to increase the energy potential of heat carriers. To optimize the mode parameters and create systems for automatic control of the heat pump installation, it is necessary to establish a relationship between the parameters of the processes occurring in the elements of the installation by creating a mathematical model of non-stationary thermal modes. In the analysis of recent studies and publications, it is established that the calculations of processes in heat pumps are presented mainly for stationary modes of operation without taking into account the dynamics of the condenser. If the dynamic modes of individual elements are given, then they are described by mathematical models of considerable complexity, which greatly complicates their practical implementation. In the article, the heat pump installation, as an object of modeling, is considered as a physical system, which consists of four series-connected elements: evaporator, condenser, compressor, throttle valve forming a closed circuit. The principle of operation of a simple heat pump installation is explained by the scheme and schedule of the theoretical cycle of the steam compressor heat pump. To simplify the mathematical model, certain assumptions were made: the change in the parameters of liquid, vapor and air varies in a straight line, the thermophysical characteristics of the material of heat exchangers, air and vapor flows, heat transfer coefficients do not depend on temperature and are average for the cycle. On the basis of thermal and material balance the corresponding differential equations which make mathematical model of dynamics of change of parameters of the heat exchanger have been made. The mathematical model is supplemented by a simulation model in the MatLAB / Simulink computer environment, as well as graphical interpretations of dynamic characteristics. The developed mathematical model of dynamics of thermal processes in the heat pump installation can be used for calculation of parameters of heating and cooling of streams of heat carriers and creation of system of automatic control of them.

Sign in / Sign up

Export Citation Format

Share Document