scholarly journals Permeation of Toluene into (Polypropylene/Acrylonitrile-co-butadiene Rubber) immiscible blend

2019 ◽  
Vol 286 ◽  
pp. 08001
Author(s):  
Y. Hairch ◽  
A. El Afif

This study examines the unsteady permeation process of a solvent through a mixture of two immiscible polymers with a complex dividing interface. The mathematical model consists of three nonlinear PDEs that incorporate the coupling arising between mass transport and the dynamic changes of the blend internal structure. In addition to the solvent mass fraction c, we choose, as additional state variables, the conformation tensor m to characterize the macromolecular chains while the embedded interface is described by a scalar Q and a traceless second-order tensor q respectively for the size and shape anisotropy of the area. We extend the Fick's first law by two new non-Fickian terms. Among the obtained results, we present the transient permeation mass flux profiles of toluene through PP/NBR blend system at different compositions and predict the corresponding time lag.

Author(s):  
K.-U. Lemmer ◽  
J. Hass

For some time there have existed different approaches and models by various authors to describe the behaviour of gasturbines during the transition between different operating points. A problem that has not been solved satisfactorily so far is the verification of these models with the help of exact data. Quite often one notices that the instruments do not react properly to the processs they are measuring: there is a time lag and the measured values become distorted by the measuring facility. This paper is a contribution to the adjustments on gasturbine engines during non-static operations. A mathematical model has been developed to determine the influence of the different components on the measuring chain, which consist of a pressure measuring transducer with high natural frequency on a semiconductor base, a hose pipe and a pressure probe. This model has been verified by pressure measurements with a calibrating device. The final part is the discussion of the pressure values, which were measured on a gasturbine engine during the transition between different operating points and adjusted with the help of the mathematical model for the measuring chain.


2012 ◽  
Vol 220-223 ◽  
pp. 952-957
Author(s):  
Chen Liu ◽  
Xiao Yan Liu

From the view of engineering, based on expatiating the features of systems biology, the paper discusses the workflows and the research emphasis of systems biology. It also explains how to model and analyze the dynamic process of signal transmitting network for a biological system by an example. Based on the complexity and uncertainty of the mathematical model, the right methods are chosen to realize the effective estimation of state variables and model parameters for the biochemical pathway.


2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
Swati Khare ◽  
O. P. Misra ◽  
Chhatrapal Singh ◽  
Joydip Dhar

A mathematical model is proposed to study the role of distributed delay on plankton ecosystem in the presence of a toxic producing phytoplankton. The model includes three state variables, namely, nutrient concentration, phytoplankton biomass, and zooplankton biomass. The release of toxic substance by phytoplankton species reduces the growth of zooplankton and this plays an important role in plankton dynamics. In this paper, we introduce a delay (time-lag) in the digestion of nutrient by phytoplankton. The stability analysis of all the feasible equilibria are studied and the existence of Hopf-bifurcation for the interior equilibrium of the system is explored. From the above analysis, we observe that the supply rate of nutrient and delay parameter play important role in changing the dynamical behaviour of the underlying system. Further, we have derived the explicit algorithm which determines the direction and the stability of Hopf-bifurcation solution. Finally, numerical simulation is carried out to support the theoretical result.


Author(s):  
Meera R Karamta ◽  
Jitendra G Jamnani

Estimation of dynamic state variables in a multi-machine power system connected with UPFC is presented in this paper, using Extended Kalman filter (EKF) algorithm. A two-generator test case is used to estimate the generator rotor angle and rotor speed. The DC link voltage of the UPFC is the additional state variable to be estimated. Dynamic mathematical modeling of the multi-machine system with UPFC is explained in this work. DSE is done under transient condition of three-phase fault.


2021 ◽  
Vol 14 (10) ◽  
pp. 6025-6047
Author(s):  
Onur Kerimoglu ◽  
Prima Anugerahanti ◽  
Sherwood Lan Smith

Abstract. Coupled physical–biogeochemical models can generally reproduce large-scale patterns of primary production and biogeochemistry, but they often underestimate observed variability and gradients. This is partially caused by insufficient representation of systematic variations in the elemental composition and pigment density of phytoplankton. Although progress has been made through approaches accounting for the dynamics of phytoplankton composition with additional state variables, formidable computational challenges arise when these are applied in spatially explicit setups. The instantaneous acclimation (IA) approach addresses these challenges by assuming that Chl:C:nutrient ratios are instantly optimized locally (within each modeled grid cell, at each time step), such that they can be resolved as diagnostic variables. Here, we present the first tests of IA in an idealized 1-D setup: we implemented the IA in the Framework for Aquatic Biogeochemical Models (FABM) and coupled it with the General Ocean Turbulence Model (GOTM) to simulate the spatiotemporal dynamics in a 1-D water column. We compare the IA model against a fully dynamic, otherwise equivalently acclimative (dynamic acclimation; DA) variant with an additional state variable and a third, non-acclimative and fixed-stoichiometry (FS) variant. We find that the IA and DA variants, which require the same parameter set, behave similarly in many respects, although some differences do emerge especially during the winter–spring and autumn–winter transitions. These differences however are relatively small in comparison to the differences between the DA and FS variants, suggesting that the IA approach can be used as a cost-effective improvement over a fixed-stoichiometry approach. Our analysis provides insights into the roles of acclimative flexibilities in simulated primary production and nutrient drawdown rates, seasonal and vertical distribution of phytoplankton biomass, formation of thin chlorophyll layers and stoichiometry of detrital material.


Author(s):  
Natalia MAKSIMOVA ◽  

The article describes an approach to assessing the effectiveness of a project implemented at an enterprise. The problem of assessing the effectiveness of a project is associated with the need to manage a project with a long life cycle. To solve the problem, it is proposed to use a sociophysical approach. The necessary elements of the mathematical model are presented. The analysis of the ratio of the potentials of the enterprise, its organizational elements and the project being implemented at the enterprise is given. Based on the analysis, it was concluded that knowledge of the potentials makes it possible to assess the effectiveness of the project activities carried out. From a sociophysical point of view, a project model is a set of accumulated potentials of state variables. On the example of two indicators — the revenue and the balance of the enterprise, where the project is being implemented, the sociophysical formulation of the task of analyzing the effectiveness of the investment project is illustrated. Calculations are given of the accumulated potentials of organizational units involved in the implementation of the project are presented; the definition of the accumulated potential reduction factor is given; an economic interpretation of the results of evaluating the effectiveness of project activities.


Processes ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 656
Author(s):  
T. Abdeljawad ◽  
Asad Ullah ◽  
Hussam Alrabaiah ◽  
Ikramullah ◽  
Muhammad Ayaz ◽  
...  

The dynamics of the 3-dimensional flow of magnetized Carreau fluid past a paraboloid surface of revolution is studied through thermal radiation and mass transfer analysis. The impacts of Brownian motion and chemical reaction rate are considered on the flow dynamics. The system of nonlinear PDEs are converted to coupled ODEs by employing suitable transformation relations. The developed ODEs are solved by applying the standard procedure of homotopy analysis method (HAM). The impacts of various interesting parameters on the state variables of the Carreau fluid (velocity components, temperature, concentration, and shear stress) are explained through various graphs and tables. It is found that the horizontal velocity components augment with the rising magnetic parameter and Grashof number values. The fluid temperature augments with the higher values of the pertinent parameters except Prandtl number. The Nusselet number and fluid concentration enhance with the augmenting Brownian motion parameter. The shear stress augments with the rising Grashof number. The agreement of the obtained and published results validate the accuracy of the employed technique.


Author(s):  
Abhijit Chandra ◽  
Pavan Karra ◽  
Adam Bragg ◽  
Jie Wang ◽  
Gap Yong Kim

Chip segmentation by deformation localization is an important process in a certain range of velocities and might be desirable in reducing cutting forces and by improving chips’ evacuation, whereas few studies of practical criteria to calculate shear band spacing are available in literature. This paper extends nonlinear dynamics model for chip segmentation by allowing time varying orientation of the shear plane that are pronounced in strain hardening materials. The model extends the non-linear dynamics approach with additional state variables to the Burns and Davies approach. The model is simulated numerically to predict the shear bands of the chip. The numerical simulation of the model is compared with experimental observations and is in agreement with experimental observations in Ti6Al4V. This offers guidance to predict shear band spacing of other materials.


Author(s):  
Balázs Farkas ◽  
JenőMiklós Suda

A novel rotating piston-type compressor is presented. The conventional rolling piston architecture was redesigned to allow oil-free operation. The spring activated vane was replaced by a directly driven swinging vane to provide constant contact to the rotating piston. The model of the compressor was implemented in the AMESim simulation platform. Experiments were conducted on prototypes and the data were evaluated based on the simulation results. Directly unobservable geometric dimensions were estimated by adjusting the mathematical model parameters to the measured thermodynamic state variables with the use of a multi-parametric genetic algorithm. The simple genetic algorithm proved fast and adequate solutions. According to the collected results, the oil-free rotating piston architecture is significantly more sensitive to the sealing clearances compared to the conventional oil lubricated rolling piston compressors. Therefore, the theoretically estimated performance can only be achieved with extremely small manufacturing tolerances, which has to be maintained during the operation.


2021 ◽  
Vol 22 (9) ◽  
pp. 451-458
Author(s):  
A. A. Bobtsov ◽  
R. Ortega ◽  
N. A. Nikolaev ◽  
O. V. Slita ◽  
O. A. Kozachek ◽  
...  

In this paper the solution was proposed for the state variables estimation problem in the mathematical model of the DC switch-mode power converter built according to the Ćuk scheme. Pulse converters are one of the main components of most modern electrical devices and the circuit proposed by Slobodan Ćuk in the 70s of the 20th century is still relevant and demanded. Traditionally, PI (proportional-integral) controllers or proportional-integral adaptive control algorithm (PI-PBC), based on passification methods and superior to standard PI controllers in accuracy, are used as the control algorithm for power converters. However, you need to know the entire vector of the state variables of the converter to build a PI-PBC controller, and moreover, all its parameters must be accurately known. Unfortunately, in practice, such assumptions are not fulfilled, since parametric drifting is possible, and measurements of the converter’s state require additional sensors, which in some cases does not justify itself. Thus, there is a need to develop additional observers or estimators that allow obtaining data on all variables of the converter, as well as its parameters. The solution is based on the GPEBO method (generalized parameter estimation-based observers). The problem was solved under assumption that only the output signal (the output voltage of the converter) is measurable and some of the mathematical model parameters are unknown. An important aspect of the observer design is the development of an algorithm for unknown parameters and the state vector of a mathematical model estimation that ensures convergence in a finite time. Finite-time convergence is extremely important when designing observers since transients in pulse converters occur very quickly.


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