mathematical model of the thermal regeneration


Modeling the Thermal Dynamics inside a Ceria-Coated ...

been made available on the mathematical modeling of GPF physical dynamics. Nicolin et. al. [24] and Boger et. al. [25] proposed reduced order models to investigate the thermal dynamics in an uncoated GPF. Soot oxidation dynamics were modeled by studying regeneration events inside the GPF. Opitz et. al. [16] proposed a single channel model and


ANALYTICAL APPROACH BASED ON A MATHEMATICAL …

desiccant regeneration in an absorption/desorption column with random packing. Liu et al. (2007) presented analytical solutions of the air and desiccant parameters that affect the heat and mass transfer performance. Many researchers have developed mathematical models of the coupled heat and mass transfer processes in the dehumidifier or ...


A mathematical model of cartilage regeneration after ...

In our previous work, 17 a mathematical model was formulated to describe the various processes involved in the regeneration of a cartilage defect following the implantation of chondrocytes (ACI) or MSCs (ASI). Our model showed that during the healing process, there is very little difference in the overall time taken to heal the defect between ...


Thermal regeneration of diesel‐particulate monolithic ...

A mathematical model is developed to describe the process of thermal regeneration in diesel‐particulate monolithic filters. The model shows that a typical regeneration cycle consists of four stages: preheating, ignition, transport‐controlled combustion, and cooling. The total regeneration time and the peak temperature are the important regeneration characteristics and can be controlled by ...


Mathematical model of the thermal processing of steel ...

Many mathematical heat-transfer models of static-cast ingot processing have been documented and used in recent years. 3-15 However, relatively few of the models were de- signed with subsequent thermal stress modeling in mind, and no model reported …


A mathematical model of stem cell regeneration with ...

In this paper, we study a mathematical model of stem cell regeneration with epigenetic state transitions. In the model, the heterogeneity of stem cells is considered through the epigenetic state of each cell, and each epigenetic state defines a subpopulation of stem cells. The dynamics of the subpopulations are modeled by a set of ordinary differential equations in which epigenetic state ...


Study of the Thermal Regeneration Process of Ready Mixed ...

Study of the Thermal Regeneration Process of Ready Mixed Hot Asphalt Mixture Based on Diffusion Theory ... Based on the analysis of the structure and working principle of mixer, the mathematical model was established, which is related with the use parameters and operating parameters of stirrer, and the time that the recycling agent uniformly ...



Propagation of cutaneous thermal injury: A mathematical model

Based on these chemical reactions, the present paper develops for the first time a three-dimensional mathematical model to quantify the propagation of tissue damage within 12 hours post initial burn. We use the model to investigate the effect of supplemental antioxidant vitamin E for intercepting propagation.


Computer modelling of heat energy regeneration process in ...

The article considers approbation of the developed mathematical model of the process of thermal energy accumulation in a stationary switching regenerative heat exchanger using the Matlab computer system. The model was constructed and numerically investigated using a difference scheme. This method is necessary for development of algorithms for calculating the thermal characteristics of heat …


A Mathematical Model of Regenerative Axon Growing along ...

The effects of the release rate of growth inhibitory factors on regenerating axons growing along glial scar (η 2 = 3%, 5%, and 7%).(a) η 2 = 3%; r a = r z = 0.26 × L.When the release rate of growth inhibitory factors was relatively low (η 2 = 3%), regenerating axons could successfully navigate across the glial scar and connect to their target cells with the support of Schwann cells and the ...


A mathematical model for predicting the performance of a ...

Experimental results related to the compound desiccant wheel (Ref. ) are adopted to validate the present model.Under a wide range of operating conditions (air inlet temperature changes from 25 °C to 35 °C, air inlet humidity ratio changes from 5 g/kg to 20 g/kg, rotation speed varies between 4 r/h to 10 r/h, regeneration temperature is constant at 80 °C), the predicted results in terms of ...


Mathematical Models of Thermal Systems

Mathematical Models of Thermal Systems. Introduction and Units; System Elements; Mathematical Model; Printable; Contents Introduction. While the previous page (System Elements) introduced the fundamental elements of thermal systems, as well as their mathematical models, no systems were discussed.This page discusses how the system elements can be included in larger systems, and how …


Three-Dimensional Catalytic Regeneration Modeling of SiC ...

Efficient system and components' optimization requires the use of mathematical models of diesel filter performance. The three-dimensional model for the regeneration of the diesel particulate filter presented in this paper has been developed as an engineering tool for the detailed design optimization of SiC diesel filters of modular structure.


Modeling the thermal and soot oxidation dynamics inside a ...

2 in the GPF during regeneration events.Opitz, Drochner, Vogel, and Votsmeier(2014) proposed a 1-D + 1-D model for a single channel GPF and assessed the cold-start performance of an uncoated GPF.Liu, Kim, Chanko, Lambert, and Pakko(2017) presented a mathematical model to determine the backpressure and filtration ef-


A Mathematical Model to Predict the Thermal Response of ...

A one-dimensional transient thermal model has been developed to predict the thermal response of a decomposing, expanding polymer composite exposed to high temperatures. Both the decomposition and thermochemical expansion, as well as the storage of decom position gases in the solid material were considered in the formulation of the model.


A Theoretical and Experimental Study of the Regeneration ...

A mathematical model was developed from the fundamental equations, namely the conservation of mass law and the chemical reaction kinetics. The model was used to develop a time-dependent relationship that determines the particulate mass accumulated in the trap, based on engine operating condition (e.g., exhaust temperature, oxygen concentration, and exhaust flow rate) and fuel …


Mathematical Modeling and Numerical Analysis of Thermal ...

6.1. Thermal Calibration of Model. The model calibration was performed comparing the calculated data with the actual values recorded by thermometers at block number 9, which is the only instrumented block in the Dez Dam. The calibration process was conducted for six years, 1972 to 1977, because only the data for these years were available.


Mathematical Model to Estimate the Rate Parameters and ...

Reduction of iron ore–coal composite pellets at a rotary hearth furnace (RHF) could be an energy efficient process under optimized design and operating conditions. The present study aims to analyze such process through process models for optimization of thermal efficiency. In the present article, a mathematical model has been described to calculate the rate parameters, evolution of …


Mathematical model of the thermal regeneration of a wall ...

In this front section, the outlet Mathematical model of the thermal regeneration of a wall-flow monolith diesel particulate filter 1243 e1, e2, e9 constants in substrate heat capacity func- tion: 0.256ca1/g K, 3.73 x l0 ~ cal/gO K2, 8.21 x l0~ cal K/g e4, e5, e6 constants in deposit heat capacity func- tion; 0.4l3ealjgK, 2.31 x 10_e cal/gK2, 4 ...


Simplified Mathematical Modelling of Dehumidifier and ...

Mathematical model represents all the important features of the system for the purpose of deriving the mathematical ... This paper describes a simple mathematical model for the preliminary design of an air dehumidification and regeneration process occurring in a structured packing using liquid desiccant cooling ... The thermal performance of ...



A Mathematical Model for Analyzing the Thermal ...

A mathematical model is developed for predicting the thermal performance of a flat micro heat pipe with a rectangular grooved wick structure. The effects of the liquid-vapor interfacial shear stress, the contact angle, and the amount of liquid charge are accounted for in the present model.



(PDF) New mathematical model on the thermal degradation of ...

New Mathematical Model on the Thermal Degradation of Industrial Plastisols A. JIMENEZ,',' V. BERENGUER,' J. LOPEZ: and J. VILAPLANA* 'Analytical Chemistry Department, University of Alicante, P.O. Box 99, 03080, Alicante, a n d 21nstituto T e c n o b g i c o del Juguete (AIJU), Av. lndustria s/n, Ibi (Alicante), 03440, Spain SYNOPSIS The thermal degradation of some plastisols [poly(vinyl ...


Effect of Heat Transfer on the Transient Dynamics of ...

the thermal regeneration step in a TSA process requires a great deal of energy to heat the bed. Furthermore, the thermal properties of ... MATHEMATICAL MODEL The system is a fixed bed packed with porous spherical adsor-bent particles, in which adsorption of adsorbable component and


A mathematical model for the thermal behaviour of a ...

The passive cooling system of a large, multi-storied, commercial complex is considered, where the building mass is used for storing night time coolness. Fan driven air is forced through an air gap separating the concrete floors and ceiling slabs in order to achieve storage. A mathematical model is proposed for the air and slabs. Three numerical methods are considered: two using the traditional ...


Review of the mathematical functions used to model the ...

in this realism is the use of mathematical functions to model the temperature dependence of thermal (k) and electrical ( ) conductivities of tissue. Our aim was to review the piecewise mathematical functions most commonly used for modelling the temperature dependence of k …


3-Dimensional Modeling of the Regeneration

Figure 1 summarizes the main model features and the equations included in the mathematical model. The main extension compared to the previously published 2D (axi-symmetric) version of the model (ref. [10]) is related to the solution of the 3-dimensional temperature field in the filter taking into account the positioning and the thermal


CONFIGURATION DESIGN FOR PLATE HEAT EXCHANGERS …

regeneration, heating and cooling sections of the plate heat exchanger of a pasteurization unit. ... assumption simplifies largely the thermal model and shows little influence over the main simulation results. Thus, this ... is not possible to derive a mathematical model that is explicitly a function of the configuration parameters. To


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