Modelling Drying Processes

Modelling Drying Processes PDF

Author: Xiao Dong Chen

Publisher: Cambridge University Press

Published: 2013-05-23

Total Pages: 253

ISBN-13: 1107012104

DOWNLOAD EBOOK →

A comprehensive summary of the state of the art in the reaction engineering approach to drying processes, including modelling, experimentation and applications.

Modelling Drying Processes

Modelling Drying Processes PDF

Author: Xiao Dong Chen

Publisher: Cambridge University Press

Published: 2013-05-23

Total Pages: 253

ISBN-13: 1107354862

DOWNLOAD EBOOK →

This comprehensive summary of the state of the art and the ideas behind the reaction engineering approach (REA) to drying processes is an ideal resource for researchers, academics and industry practitioners. Starting with the formulation, modelling and applications of the lumped-REA, it goes on to detail the use of the REA to describe local evaporation and condensation, and its coupling with equations of conservation of heat and mass transfer, called the spatial-REA, to model non-equilibrium multiphase drying. Finally, it summarises other established drying models, discussing their features, limitations and comparisons with the REA. Application examples featured throughout help fine-tune the models and implement them for process design and the evaluation of existing drying processes and product quality during drying. Further uses of the principles of REA are demonstrated, including computational fluid dynamics-based modelling, and further expanded to model other simultaneous heat and mass transfer processes.

Thermomechanics of Drying Processes

Thermomechanics of Drying Processes PDF

Author: Stefan Jan Kowalski

Publisher: Springer Science & Business Media

Published: 2012-11-29

Total Pages: 366

ISBN-13: 3540364056

DOWNLOAD EBOOK →

This book is interdisciplinary in character and combines the knowledge of me chanics and chemical engineering with the aim of presenting a more exhaustive analysis ofthe phenomena occurring in wet materials during drying. Traditionally, the subject of drying has been an almost exclusive domain of chemical engineers. The drying curricula have mostly included only the courses of heat and mass transfer or diffusion. The mechanical phenomena that accompany drying, as for example, warping or deformation of dried materials, or the drying induced stresses and fissures of the material, were ignored or considered in a rather obscure way. This book broadens the scope of drying theory, bringing into the curriculum the tools enabling the study of both heat and mass transport processes and the me chanical phenomena that occur in wet materials under drying. There is little available literature that brings together heat and mass transport processes and mechanical phenomena in a unified approach to drying processes.

Modelling Drying Processes

Modelling Drying Processes PDF

Author: Xiao Dong Chen

Publisher:

Published: 2013

Total Pages:

ISBN-13: 9781107348851

DOWNLOAD EBOOK →

This comprehensive summary of the state of the art and the ideas behind the reaction engineering approach (REA) to drying processes is an ideal resource for researchers, academics and industry practitioners. Starting with the formulation, modelling and applications of the lumped-REA, it goes on to detail the use of the REA to describe local evaporation and condensation, and its coupling with equations of conservation of heat and mass transfer, called the spatial-REA, to model non-equilibrium multiphase drying. Finally, it summarises other established drying models, discussing their features, limitations and comparisons with the REA. Application examples featured throughout help fine-tune the models and implement them for process design and the evaluation of existing drying processes and product quality during drying. Further uses of the principles of REA are demonstrated, including computational fluid dynamics-based modelling, and further expanded to model other simultaneous heat and mass transfer processes.

Heat and Mass Transfer Modelling During Drying

Heat and Mass Transfer Modelling During Drying PDF

Author: Mohammad U.H. Joardder

Publisher: CRC Press

Published: 2021-09-30

Total Pages: 192

ISBN-13: 042986552X

DOWNLOAD EBOOK →

Most conventional dryers use random heating to dry diverse materials without considering their thermal sensitivity and energy requirements for drying. Eventually, excess energy consumption is necessary to attain a low-quality dried product. Proper heat and mass transfer modelling prior to designing a drying system for selected food materials can overcome these problems. Heat and Mass Transfer Modelling During Drying: Empirical to Multiscale Approaches extensively discusses the issue of predicting energy consumption in terms of heat and mass transfer simulation. A comprehensive mathematical model can help provide proper insight into the underlying transport phenomena within the materials during drying. However, drying of porous materials such as food is one of the most complex problems in the engineering field that is also multiscale in nature. From the modelling perspective, heat and mass transfer phenomena can be predicted using empirical to multiscale modelling. However, multiscale simulation methods can provide a comprehensive understanding of the physics of drying food materials. KEY FEATURES Includes a detailed discussion on material properties that are relevant for drying phenomena Presents an in-depth discussion on the underlying physics of drying using conceptual visual content Provides appropriate formulation of mathematical modelling from empirical to multiscale approaches Offers numerical solution approaches to mathematical models Presents possible challenges of different modelling strategies and potential solutions The objective of this book is to discuss the implementation of different modelling techniques ranging from empirical to multiscale in order to understand heat and mass transfer phenomena that take place during drying of porous materials including foods, pharmaceutical products, paper, leather materials, and more.

Mathematical Modeling and Numerical Techniques in Drying Technology

Mathematical Modeling and Numerical Techniques in Drying Technology PDF

Author: Ian Turner

Publisher: CRC Press

Published: 1996-09-19

Total Pages: 696

ISBN-13: 148229219X

DOWNLOAD EBOOK →

Offers information necessary for the development of mathematical models and numerical techniques to solve specific drying problems. The book addresses difficult issues involved with the drying equations of numerical analysis, including mesh generation, discretinization strategies, the nonlinear equation set and the linearized algebraic system, convergance criteria, time step control, experimental validation, optimum methods of visualization results, and more.

Theoretical Extension and Innovative Applications of Reaction Engineering Approach to Modeling Drying and Other Transport Processes

Theoretical Extension and Innovative Applications of Reaction Engineering Approach to Modeling Drying and Other Transport Processes PDF

Author: Aditya Putranto

Publisher:

Published: 2013

Total Pages: 866

ISBN-13:

DOWNLOAD EBOOK →

Drying is a water removal process involving simultaneous heat and mass transfer process. Usually, it is referred to a process involving vapor removal. Study of drying is important since it is an energy-intensive process because large amount of heat needs to be supplied for evaporating water. Drying also affects significantly the product quality of materials. Optimization exercises need to be carried out to maintain the highest possible product quality of the materials during drying as well as minimizing energy consumption. The optimization procedures often involve modeling. Hence, reliable drying model can assist in process design, process simulation and optimization. For process design, it can be used to explore new innovative designs of a dryer, to evaluate the performance of existing dryer and to assess its energy consumption. For maintaining product quality, a reliable drying model can be applied to explore new processes and to optimize the existing process to achieve high quality products. A reliable drying model should ideally be simple, accurate, able to capture the physics of drying process and require minimum sets of experiments to generate the drying parameters. The minimal number of laboratory trials required is a feature useful for industry. The reaction engineering approach (REA) was proposed by Professor X.D. Chen in 1996 and has been used successfully to model several drying processes mainly thin layer drying and drying of small particulates of food materials. The physics of the drying process is captured by the relative activation energy which represents the level of difficulty to 'extract' moisture during drying in addition to evaporating free water. Initially, it may be zero near the start of drying of high moisture product and keeps on increasing during drying as drying progresses. When the low equilibrium moisture content is reached, the relative activation energy becomes one. The relative activation energy of the same materials can be used to model other drying processes with the similar initial moisture content. The REA framework allows a very effective way to obtain the necessary parameters. Because of the efficiency of the REA framework established so far, it is worthwhile to develop further the REA in an innovative manner and to implement the REA to more complex scenarios. The REA, which was previously proposed in the lumped format, is now labeled as the lumped reaction engineering approach (L-REA) and more comprehensively, we have developed the spatial reaction engineering approach (S-REA) in the current work. In L-REA, the REA is used to model the global drying rate while in S-REA, the REA is applied to model the local evaporation rate and coupled with a system of equations of conservation to yield a spatial model. To expand the L-REA approach, it is implemented in this study to model convective infrared-heating drying, convective drying of several centimeters thick samples, intermittent drying under time-varying temperature, humidity and infrared-heating, baking, roasting and heat treatment of wood under linearly increased temperature. In all the cases of food and natural materials, appropriate shrinkage models are required. The S-REA is developed and applied here to model convective drying, intermittent drying and heat treatment of wood under constant heating rate, where spatial energy and mass balances are resolved. For modeling of the convective drying of other materials, the original formulation of the L-REA is implemented. Without any modification, the L-REA can model the convective drying of the mixture of polymer solutions accurately. For modeling the infrared-heating drying, a new definition of the equilibrium activation energy has to be introduced. For modeling of convective drying of several centimeters of thick sample using the L-REA, the approximation of spatial distribution of sample temperature is used. The surface temperature is also implemented in the mass and heat balances as well as the evaluation of saturated water vapor concentration. It is emphasized that the L-REA does not actually assume uniform moisture content inside the sample but the L-REA evaluates the average moisture content during drying. The results indicate that the L-REA models well the convective drying of non-food materials, infrared-heating drying and convective drying of several centimeters of thick sample. The L-REA is applied to model the intermittent drying of food and non-food materials under time-varying humidity, temperature and infrared-heating intensity. Surprisingly, for modeling the intermittent drying, no major modification of the original formulation of the REA is necessary. In order to incorporate the effect of time-varying humidity and temperature, the equilibrium activation energy is evaluated according to the corresponding humidity and temperature in each drying period. The relative activation energy generated from convective drying of materials under constant environmental conditions can be used to model the intermittent drying. The results indicate that the L-REA can model actually the intermittent drying of food and non-food materials under slow and rapid change of ambient humidity and temperature. For modeling the intermittent drying under time-varying infrared-heating intensity using the L-REA, two schemes of definition of equilibrium activation energy is used. The first scheme employs the relationship between the infrared-heating intensity in each stage and the final product temperature in each stage should the infrared heating be prolonged to equilibrium. The second scheme uses direct relationship between the infrared-heating intensity in each stage and equilibrium activation energy. Both definitions are combined with the relative activation energy, generated from convective drying run under constant environmental conditions to yield the activation energy. It has been shown that the L-REA can also model very well the intermittent drying under time-varying infrared-heating intensity. The L-REA is further implemented to model the simultaneous heat and mass transfer processes at high temperature namely baking of bread, roasting of barley and coffee and heat treatment of wood under constant heating rate. For modeling these processes, no modification of the original formulation of the REA is required. For modeling the heat treatment of wood under constant heating rate which is essentially a drying process under linearly increased gas temperature, the equilibrium activation energy is evaluated according to corresponding humidity and temperature during the process. The results indicate that the L-REA can model these processes well. The use of non-equilibrium multiphase drying model is suggested as the model can offer better understanding of drying process and it can be used to assess the suitability of equilibrium multiphase drying model. However, the model requires explicit formulation of the local evaporation rate. The REA is further implemented to model the local evaporation rate and coupled with a system of equations of conservation of heat and mass transfer to yield a spatial model called the spatial reaction engineering approach (S-REA), as a non-equilibrium multiphase drying model. The S-REA consists of the spatial mass balances of liquid water and water vapor as well as the heat balance in the conventional manner. In the mass balances of liquid water and water vapor, the REA is used as the depletion and source terms, respectively. The REA is also adopted as the local evaporation rate term in the heat balance. The relative activation energy, implemented in the L-REA and generated in one accurate drying run, is used to model the local evaporation rate for the same material but the average moisture content is now replaced by the local moisture content. In this study, the S-REA has been implemented to model the convective drying, intermittent drying and heat treatment of wood under constant heating rate. The accuracy of the S-REA to model these processes as well as the applicability of the REA to describe the local evaporation rate has been assessed. For modeling convective drying using the S-REA, using the approach mentioned above, it has been shown that the results of modeling match well with the experimental data. The S-REA is capable to model the spatial profiles of moisture content, concentration of water vapor and temperature accurately. Due to the application of the REA as the local evaporation rate, the profiles of local evaporation rate and concentration of water vapor can now be generated so that better insightful physics of drying can be gained. The S-REA has also been successfully applied to modeling of the intermittent drying and heat treatment of wood under linearly increased temperature. Based on the extensive modeling exercises carried out in this study, it can be concluded that the REA framework is very useful in characterizing various challenging drying and other simultaneous heat and mass transfer processes. The L-REA has been proven to be accurate and effective to model these processes with simplicity being a major advantage. The REA framework has also been shown to be able to model the local evaporation/condensation rate well. The S-REA is an effective non-equilibrium multiphase drying approach to provide better understanding of transport phenomena of drying and other simultaneous heat and mass transfer processes that involve water transformations. It is interesting to note that the L-REA parameters obtained in laboratory can also be used in S-REA simulations for the same material being dried. This presents an obvious practical advantage.

Modern Drying Technology, Volume 1

Modern Drying Technology, Volume 1 PDF

Author: Evangelos Tsotsas

Publisher: John Wiley & Sons

Published: 2011-02-10

Total Pages: 359

ISBN-13: 9783527631636

DOWNLOAD EBOOK →

This five-volume handbook provides a comprehensive overview of all important aspects of modern drying technology, including only advanced results. In this first volume diverse model types for the drying of products and the design of drying processes (short-cut methods, homogenized, pore network, and continuous thermo-mechanical approaches) are treated, along with computational fluid dynamics, population balances, and process systems simulation tools. Emphasis is put on scale transitions.

Drying of Polymeric and Solid Materials

Drying of Polymeric and Solid Materials PDF

Author: Jean-Maurice Vergnaud

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 344

ISBN-13: 1447119541

DOWNLOAD EBOOK →

Drying of Polymeric and Solid Materials shows for the first time how the process of drying can be enhanced by combining mathematical and numerical models with experiments. The main advantages of this method are a significant saving of time and money. Numerical modelling can predict the kinetics of drying and the profiles of liquid concentration through the solid. This helps in the selection of optimal operational conditions. The simulation of the process is also crucial in the assessment of diffusity and the rate of evaporation.