Modeling and Analysis of Modern Fluid Problems
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- Author : Liancun Zheng
- Publisher : Academic Press
- Release : 26 April 2017
- ISBN : 9780128117590
- Page : 480 pages
- Rating : 4.5/5 from 103 voters
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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
Modeling and Analysis of Modern Fluid Problems
- Author : Liancun Zheng,Xinxin Zhang
- Publisher : Academic Press
- Release Date : 2017-04-26
- ISBN : 9780128117590
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
Modeling and Analysis of Modern Fluid Problems
- Author : Liancun Zheng,Xinxin Zhang
- Publisher : Academic Press
- Release Date : 2017-06-01
- ISBN : 0128117532
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
The Craft of Fractional Modelling in Science and Engineering
- Author : Jordan Hristov
- Publisher : MDPI
- Release Date : 2018-06-22
- ISBN : 9783038429838
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
Fluid-structure Interactions
- Author : Thomas Richter
- Publisher : Springer
- Release Date : 2017-08-26
- ISBN : 9783319639703
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
Lecture Notes in Computational Intelligence and Decision Making
- Author : Sergii Babichev,Volodymyr Lytvynenko
- Publisher : Springer Nature
- Release Date : 2021-07-22
- ISBN : 9783030820145
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
Advances in Differential and Difference Equations with Applications 2020
- Author : Dumitru Baleanu
- Publisher : MDPI
- Release Date : 2021-01-20
- ISBN : 9783039368709
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
Integral Transforms and Operational Calculus
- Author : H. M. Srivastava
- Publisher : MDPI
- Release Date : 2019-11-20
- ISBN : 9783039216185
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
Predicting the T2K Neutrino Flux and Measuring Oscillation Parameters
- Author : Tomislav Vladisavljevic
- Publisher : Springer Nature
- Release Date : 2020-09-14
- ISBN : 9783030511746
This thesis reports the calculation of neutrino production for the T2K experiment; the most precise a priori estimate of neutrino production that has been achieved for any accelerator-based neutrino oscillation experiment to date. The production of intense neutrino beams at accelerator facilities requires exceptional understanding of chains of particle interactions initiated within extended targets. In this thesis, the calculation of neutrino production for T2K has been improved by using measurements of particle production from a T2K replica
Modern Fluid Dynamics
- Author : Clement Kleinstreuer
- Publisher : CRC Press
- Release Date : 2018-04-25
- ISBN : 9781351849647
Modern Fluid Dynamics, Second Edition provides up-to-date coverage of intermediate and advanced fluids topics. The text emphasizes fundamentals and applications, supported by worked examples and case studies. Scale analysis, non-Newtonian fluid flow, surface coating, convection heat transfer, lubrication, fluid-particle dynamics, microfluidics, entropy generation, and fluid-structure interactions are among the topics covered. Part A presents fluids principles, and prepares readers for the applications of fluid dynamics covered in Part B, which includes computer simulations and project writing. A review of the
Micropolar Fluids
- Author : Grzegorz Lukaszewicz
- Publisher : Springer Science & Business Media
- Release Date : 2012-12-06
- ISBN : 9781461206415
Micropolar fluids are fluids with microstructure. They belong to a class of fluids with nonsymmetric stress tensor that we shall call polar fluids, and include, as a special case, the well-established Navier-Stokes model of classical fluids that we shall call ordinary fluids. Physically, micropolar fluids may represent fluids consisting of rigid, randomly oriented (or spherical) particles suspended in a viscous medium, where the deformation of fluid particles is ignored. The model of micropolar fluids introduced in [65] by C. A. Eringen
Homotopy Analysis Method in Nonlinear Differential Equations
- Author : Shijun Liao
- Publisher : Springer Science & Business Media
- Release Date : 2012-06-22
- ISBN : 9783642251320
"Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM). Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters. In addition, it provides great freedom to choose the equation-type of linear sub-problems and the base functions of a solution. Above all, it provides a convenient way to guarantee the convergence of a solution. This book consists of
Handbook of Computational Fluid Mechanics
- Author : Roger Peyret
- Publisher : Academic Press
- Release Date : 1996-01-01
- ISBN : 9780125530101
This handbook covers computational fluid dynamics from fundamentals to applications. This text provides a well documented critical survey of numerical methods for fluid mechanics, and gives a state-of-the-art description of computational fluid mechanics, considering numerical analysis, computer technology, and visualization tools. The chapters in this book are invaluable tools for reaching a deeper understanding of the problems associated with the calculation of fluid motion in various situations: inviscid and viscous, incompressible and compressible, steady and unsteady, laminar and turbulent flows,
Probability and Partial Differential Equations in Modern Applied Mathematics
- Author : Edward C. Waymire
- Publisher : Springer Science & Business Media
- Release Date : 2010-06-14
- ISBN : 9780387293714
"Probability and Partial Differential Equations in Modern Applied Mathematics" is devoted to the role of probabilistic methods in modern applied mathematics from the perspectives of both a tool for analysis and as a tool in modeling. There is a recognition in the applied mathematics research community that stochastic methods are playing an increasingly prominent role in the formulation and analysis of diverse problems of contemporary interest in the sciences and engineering. A probabilistic representation of solutions to partial differential equations
Challenges in Fluid Dynamics
- Author : R.Kh. Zeytounian
- Publisher : Springer
- Release Date : 2017-12-21
- ISBN : 9783319316192
This monograph presents a synopsis of fluid dynamics based on the personal scientific experience of the author who has contributed immensely to the field. The interested reader will also benefit from the general historical context in which the material is presented in the book. The book covers a wide range of relevant topics of the field, and the main tool being rational asymptotic modelling (RAM) approach. The target audience primarily comprises experts in the field of fluid dynamics, but the
Heat Transfer Modeling
- Author : George Sidebotham
- Publisher : Springer
- Release Date : 2015-02-13
- ISBN : 9783319145143
This innovative text emphasizes a "less-is-more" approach to modeling complicated systems such as heat transfer by treating them first as "1-node lumped models" that yield simple closed-form solutions. The author develops numerical techniques for students to obtain more detail, but also trains them to use the techniques only when simpler approaches fail. Covering all essential methods offered in traditional texts, but with a different order, Professor Sidebotham stresses inductive thinking and problem solving as well as a constructive understanding of