Modeling and Analysis of Modern Fluid Problems

Modeling and Analysis of Modern Fluid Problems

Author: Liancun Zheng

Publisher: Academic Press

Published: 2017-04-26

Total Pages: 482

ISBN-13: 0128117591

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Modeling and Analysis of Modern Fluids helps researchers solve physical problems observed in fluid dynamics and related fields, such as heat and mass transfer, boundary layer phenomena, and numerical heat transfer. These problems are characterized by nonlinearity and large system dimensionality, and ‘exact’ solutions are impossible to provide using the conventional mixture of theoretical and analytical analysis with purely numerical methods. To solve these complex problems, this work provides a toolkit of established and novel methods drawn from the literature across nonlinear approximation theory. It covers Padé approximation theory, embedded-parameters perturbation, Adomian decomposition, homotopy analysis, modified differential transformation, fractal theory, fractional calculus, fractional differential equations, as well as classical numerical techniques for solving nonlinear partial differential equations. In addition, 3D modeling and analysis are also covered in-depth. Systematically describes powerful approximation methods to solve nonlinear equations in fluid problems Includes novel developments in fractional order differential equations with fractal theory applied to fluids Features new methods, including Homotypy Approximation, embedded-parameter perturbation, and 3D models and analysis


Book Synopsis Modeling and Analysis of Modern Fluid Problems by : Liancun Zheng

Download or read book Modeling and Analysis of Modern Fluid Problems written by Liancun Zheng and published by Academic Press. This book was released on 2017-04-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling and Analysis of Modern Fluids helps researchers solve physical problems observed in fluid dynamics and related fields, such as heat and mass transfer, boundary layer phenomena, and numerical heat transfer. These problems are characterized by nonlinearity and large system dimensionality, and ‘exact’ solutions are impossible to provide using the conventional mixture of theoretical and analytical analysis with purely numerical methods. To solve these complex problems, this work provides a toolkit of established and novel methods drawn from the literature across nonlinear approximation theory. It covers Padé approximation theory, embedded-parameters perturbation, Adomian decomposition, homotopy analysis, modified differential transformation, fractal theory, fractional calculus, fractional differential equations, as well as classical numerical techniques for solving nonlinear partial differential equations. In addition, 3D modeling and analysis are also covered in-depth. Systematically describes powerful approximation methods to solve nonlinear equations in fluid problems Includes novel developments in fractional order differential equations with fractal theory applied to fluids Features new methods, including Homotypy Approximation, embedded-parameter perturbation, and 3D models and analysis

The Craft of Fractional Modelling in Science and Engineering

The Craft of Fractional Modelling in Science and Engineering

Author: Jordan Hristov

Publisher: MDPI

Published: 2018-06-22

Total Pages: 139

ISBN-13: 303842983X

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This book is a printed edition of the Special Issue "The Craft of Fractional Modelling in Science and Engineering" that was published in Fractal Fract


Book Synopsis The Craft of Fractional Modelling in Science and Engineering by : Jordan Hristov

Download or read book The Craft of Fractional Modelling in Science and Engineering written by Jordan Hristov and published by MDPI. This book was released on 2018-06-22 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "The Craft of Fractional Modelling in Science and Engineering" that was published in Fractal Fract

Biofluids Modeling

Biofluids Modeling

Author: Wilson Chin

Publisher: John Wiley & Sons

Published: 2023-11-10

Total Pages: 486

ISBN-13: 1119910560

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BIOFLUIDS MODELING The first book offering analytical and modern computational solutions to important biofluids problems, such as non-Newtonian flows in blood vessels, clogged arteries and veins, bifurcated arteries and veins, arbitrary stent geometries, tissue properties prediction, and porous media Darcy flow simulation in large-scale organ analysis, this is a must-have for any library. This book introduces new methods for biofluids modeling and biological engineering. The foregoing subjects are treated rigorously, with all modeling assumptions stated and solutions clearly derived. But that’s not all. Key supporting physics-based ideas, algorithmic details, and software design interfaces are equally emphasized, in order to support our overriding objective of getting the anatomical and clinical information that physicians need. Importantly, this volume provides a self-contained exposition that includes all required biological concepts, plus the background preparation needed in fluid mechanics, basic differential equations, and modern numerical analysis. The presentation style will appeal to medical practitioners, researchers, biomedical engineers, and students interested in quantitative fluid flow modeling, as well as engineering students eager to learn about advances in a rapidly growing and changing biological science. As such, the book represents “must-reading” suitable at the advanced undergraduate level, and motivated readers should be able to embark on related research following guided study.


Book Synopsis Biofluids Modeling by : Wilson Chin

Download or read book Biofluids Modeling written by Wilson Chin and published by John Wiley & Sons. This book was released on 2023-11-10 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: BIOFLUIDS MODELING The first book offering analytical and modern computational solutions to important biofluids problems, such as non-Newtonian flows in blood vessels, clogged arteries and veins, bifurcated arteries and veins, arbitrary stent geometries, tissue properties prediction, and porous media Darcy flow simulation in large-scale organ analysis, this is a must-have for any library. This book introduces new methods for biofluids modeling and biological engineering. The foregoing subjects are treated rigorously, with all modeling assumptions stated and solutions clearly derived. But that’s not all. Key supporting physics-based ideas, algorithmic details, and software design interfaces are equally emphasized, in order to support our overriding objective of getting the anatomical and clinical information that physicians need. Importantly, this volume provides a self-contained exposition that includes all required biological concepts, plus the background preparation needed in fluid mechanics, basic differential equations, and modern numerical analysis. The presentation style will appeal to medical practitioners, researchers, biomedical engineers, and students interested in quantitative fluid flow modeling, as well as engineering students eager to learn about advances in a rapidly growing and changing biological science. As such, the book represents “must-reading” suitable at the advanced undergraduate level, and motivated readers should be able to embark on related research following guided study.

Modeling and Simulation of Fluid Flow and Heat Transfer

Modeling and Simulation of Fluid Flow and Heat Transfer

Author: Reshu Gupta

Publisher: CRC Press

Published: 2024-03-14

Total Pages: 235

ISBN-13: 1003855660

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In the rapidly advancing modern world, scientific and technological understanding and innovation are reaching new heights. Computational fluid dynamics and heat transfer have emerged as powerful tools, playing a pivotal role in the analysis and design of complex engineering problems and processes. With the ability to mathematically model various engineering phenomena, these computational tools offer a deeper understanding of intricate dynamics before the physical prototype is created. Widely employed as simulation tools, computational fluid dynamics and heat transfer codes enable the virtual or digital prototype development of products and devices involving complex transport and multiphasic phenomena. They have become an indispensable element of the agile product development environment across diverse sectors of manufacturing, facilitating accelerated product development cycles. Key features of this book: Covers the analysis of advanced thermal engineering systems Explores the simulation of various fluids with slip effect Applies entropy and optimization techniques to thermal engineering systems Discusses heat and mass transfer phenomena Explores fluid flow and heat transfer in porous media Captures recent developments in analytical and computational methods used to investigate the complex mathematical models of fluid dynamics Covers the application of mathematical and computational modeling techniques to fluid flow problems in various geometries Modeling and Simulation of Fluid Flow and Heat Transfer delves into the fascinating world of fluid dynamics and heat transfer modeling, presenting an extensive exploration of these subjects. This book is a valuable resource for researchers, engineers, and students seeking to comprehend and apply numerical methods and computational tools in fluid dynamics and heat transfer problems.


Book Synopsis Modeling and Simulation of Fluid Flow and Heat Transfer by : Reshu Gupta

Download or read book Modeling and Simulation of Fluid Flow and Heat Transfer written by Reshu Gupta and published by CRC Press. This book was released on 2024-03-14 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the rapidly advancing modern world, scientific and technological understanding and innovation are reaching new heights. Computational fluid dynamics and heat transfer have emerged as powerful tools, playing a pivotal role in the analysis and design of complex engineering problems and processes. With the ability to mathematically model various engineering phenomena, these computational tools offer a deeper understanding of intricate dynamics before the physical prototype is created. Widely employed as simulation tools, computational fluid dynamics and heat transfer codes enable the virtual or digital prototype development of products and devices involving complex transport and multiphasic phenomena. They have become an indispensable element of the agile product development environment across diverse sectors of manufacturing, facilitating accelerated product development cycles. Key features of this book: Covers the analysis of advanced thermal engineering systems Explores the simulation of various fluids with slip effect Applies entropy and optimization techniques to thermal engineering systems Discusses heat and mass transfer phenomena Explores fluid flow and heat transfer in porous media Captures recent developments in analytical and computational methods used to investigate the complex mathematical models of fluid dynamics Covers the application of mathematical and computational modeling techniques to fluid flow problems in various geometries Modeling and Simulation of Fluid Flow and Heat Transfer delves into the fascinating world of fluid dynamics and heat transfer modeling, presenting an extensive exploration of these subjects. This book is a valuable resource for researchers, engineers, and students seeking to comprehend and apply numerical methods and computational tools in fluid dynamics and heat transfer problems.

Nonlocal Nonlinear Fractional-order Boundary Value Problems

Nonlocal Nonlinear Fractional-order Boundary Value Problems

Author: Bashir Ahmad

Publisher: World Scientific

Published: 2021-04-06

Total Pages: 597

ISBN-13: 9811230420

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There has been a great advancement in the study of fractional-order nonlocal nonlinear boundary value problems during the last few decades. The interest in the subject of fractional-order boundary value problems owes to the extensive application of fractional differential equations in many engineering and scientific disciplines. Fractional-order differential and integral operators provide an excellent instrument for the description of memory and hereditary properties of various materials and processes, which contributed significantly to the popularity of the subject and motivated many researchers and modelers to shift their focus from classical models to fractional order models. Some peculiarities of physical, chemical or other processes happening inside the domain cannot be formulated with the aid of classical boundary conditions. This limitation led to the consideration of nonlocal and integral conditions which relate the boundary values of the unknown function to its values at some interior positions of the domain.The main objective for writing this book is to present some recent results on single-valued and multi-valued boundary value problems, involving different kinds of fractional differential and integral operators, and several kinds of nonlocal multi-point, integral, integro-differential boundary conditions. Much of the content of this book contains the recent research published by the authors on the topic.


Book Synopsis Nonlocal Nonlinear Fractional-order Boundary Value Problems by : Bashir Ahmad

Download or read book Nonlocal Nonlinear Fractional-order Boundary Value Problems written by Bashir Ahmad and published by World Scientific. This book was released on 2021-04-06 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been a great advancement in the study of fractional-order nonlocal nonlinear boundary value problems during the last few decades. The interest in the subject of fractional-order boundary value problems owes to the extensive application of fractional differential equations in many engineering and scientific disciplines. Fractional-order differential and integral operators provide an excellent instrument for the description of memory and hereditary properties of various materials and processes, which contributed significantly to the popularity of the subject and motivated many researchers and modelers to shift their focus from classical models to fractional order models. Some peculiarities of physical, chemical or other processes happening inside the domain cannot be formulated with the aid of classical boundary conditions. This limitation led to the consideration of nonlocal and integral conditions which relate the boundary values of the unknown function to its values at some interior positions of the domain.The main objective for writing this book is to present some recent results on single-valued and multi-valued boundary value problems, involving different kinds of fractional differential and integral operators, and several kinds of nonlocal multi-point, integral, integro-differential boundary conditions. Much of the content of this book contains the recent research published by the authors on the topic.

Fluid-structure Interactions

Fluid-structure Interactions

Author: Thomas Richter

Publisher: Springer

Published: 2017-08-26

Total Pages: 452

ISBN-13: 3319639706

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This book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling. Special attention is given to the derivation of variational formulations for the subproblems describing fluid- and solid-mechanics as well as the coupled fluid-structure interaction problem. Two monolithic formulations for fluid-structure interactions are described in detail: the well-established ALE formulation and the modern Fully Eulerian formulation, which can effectively deal with problems featuring large deformation and contact. Further, the book provides details on state-of-the-art discretization schemes for fluid- and solid-mechanics and considers the special needs of coupled problems with interface-tracking and interface-capturing techniques. Lastly, advanced topics like goal-oriented error estimation, multigrid solution and gradient-based optimization schemes are discussed in the context of fluid-structure interaction problems.


Book Synopsis Fluid-structure Interactions by : Thomas Richter

Download or read book Fluid-structure Interactions written by Thomas Richter and published by Springer. This book was released on 2017-08-26 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling. Special attention is given to the derivation of variational formulations for the subproblems describing fluid- and solid-mechanics as well as the coupled fluid-structure interaction problem. Two monolithic formulations for fluid-structure interactions are described in detail: the well-established ALE formulation and the modern Fully Eulerian formulation, which can effectively deal with problems featuring large deformation and contact. Further, the book provides details on state-of-the-art discretization schemes for fluid- and solid-mechanics and considers the special needs of coupled problems with interface-tracking and interface-capturing techniques. Lastly, advanced topics like goal-oriented error estimation, multigrid solution and gradient-based optimization schemes are discussed in the context of fluid-structure interaction problems.

Lecture Notes in Computational Intelligence and Decision Making

Lecture Notes in Computational Intelligence and Decision Making

Author: Sergii Babichev

Publisher: Springer Nature

Published: 2021-07-22

Total Pages: 805

ISBN-13: 3030820149

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This book is devoted to current problems of artificial and computational intelligence including decision-making systems. Collecting, analysis, and processing information are the current directions of modern computer science. Development of new modern information and computer technologies for data analysis and processing in various fields of data mining and machine learning creates the conditions for increasing effectiveness of the information processing by both the decrease of time and the increase of accuracy of the data processing. The book contains of 54 science papers which include the results of research concerning the current directions in the fields of data mining, machine learning, and decision making. The papers are divided in terms of their topic into three sections. The first section "Analysis and Modeling of Complex Systems and Processes" contains of 26 papers, and the second section "Theoretical and Applied Aspects of Decision-Making Systems" contains of 13 papers. There are 15 papers in the third section "Computational Intelligence and Inductive Modeling". The book is focused to scientists and developers in the fields of data mining, machine learning and decision-making systems.


Book Synopsis Lecture Notes in Computational Intelligence and Decision Making by : Sergii Babichev

Download or read book Lecture Notes in Computational Intelligence and Decision Making written by Sergii Babichev and published by Springer Nature. This book was released on 2021-07-22 with total page 805 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to current problems of artificial and computational intelligence including decision-making systems. Collecting, analysis, and processing information are the current directions of modern computer science. Development of new modern information and computer technologies for data analysis and processing in various fields of data mining and machine learning creates the conditions for increasing effectiveness of the information processing by both the decrease of time and the increase of accuracy of the data processing. The book contains of 54 science papers which include the results of research concerning the current directions in the fields of data mining, machine learning, and decision making. The papers are divided in terms of their topic into three sections. The first section "Analysis and Modeling of Complex Systems and Processes" contains of 26 papers, and the second section "Theoretical and Applied Aspects of Decision-Making Systems" contains of 13 papers. There are 15 papers in the third section "Computational Intelligence and Inductive Modeling". The book is focused to scientists and developers in the fields of data mining, machine learning and decision-making systems.

Modern Problems in Applied Analysis

Modern Problems in Applied Analysis

Author: Piotr Drygaś

Publisher: Birkhäuser

Published: 2018-03-21

Total Pages: 214

ISBN-13: 3319726404

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This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows). The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems.


Book Synopsis Modern Problems in Applied Analysis by : Piotr Drygaś

Download or read book Modern Problems in Applied Analysis written by Piotr Drygaś and published by Birkhäuser. This book was released on 2018-03-21 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows). The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems.

Advances in Differential and Difference Equations with Applications 2020

Advances in Differential and Difference Equations with Applications 2020

Author: Dumitru Baleanu

Publisher: MDPI

Published: 2021-01-20

Total Pages: 348

ISBN-13: 3039368702

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It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.


Book Synopsis Advances in Differential and Difference Equations with Applications 2020 by : Dumitru Baleanu

Download or read book Advances in Differential and Difference Equations with Applications 2020 written by Dumitru Baleanu and published by MDPI. This book was released on 2021-01-20 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.

Integral Transforms and Operational Calculus

Integral Transforms and Operational Calculus

Author: H. M. Srivastava

Publisher: MDPI

Published: 2019-11-20

Total Pages: 510

ISBN-13: 303921618X

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Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. This Special Issue contains a total of 36 carefully-selected and peer-reviewed articles which are authored by established researchers from many countries. Included in this Special Issue are review, expository and original research articles dealing with the recent advances on the topics of integral transforms and operational calculus as well as their multidisciplinary applications


Book Synopsis Integral Transforms and Operational Calculus by : H. M. Srivastava

Download or read book Integral Transforms and Operational Calculus written by H. M. Srivastava and published by MDPI. This book was released on 2019-11-20 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. This Special Issue contains a total of 36 carefully-selected and peer-reviewed articles which are authored by established researchers from many countries. Included in this Special Issue are review, expository and original research articles dealing with the recent advances on the topics of integral transforms and operational calculus as well as their multidisciplinary applications