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Computational Fluid Dynamics

Computational Fluid Dynamics

Exploring new variations of classical methods as well as recent approaches appearing in the field Computational Fluid Dynamics demonstrates the extensive use of numerical techniques and mathematical models in fluid mechanics. It presents various numerical methods including finite volume finite difference finite element spectral smoothed particle hydrodynamics (SPH) mixed-element-volume and free surface flow. Taking a unified point of view the book first introduces the basis of finite volume weighted residual and spectral approaches. The contributors present the SPH method a novel approach of computational fluid dynamics based on the mesh-free technique and then improve the method using an arbitrary Lagrange Euler (ALE) formalism. They also explain how to improve the accuracy of the mesh-free integration procedure with special emphasis on the finite volume particle method (FVPM). After describing numerical algorithms for compressible computational fluid dynamics the text discusses the prediction of turbulent complex flows in environmental and engineering problems. The last chapter explores the modeling and numerical simulation of free surface flows including future behaviors of glaciers. The diverse applications discussed in this book illustrate the importance of numerical methods in fluid mechanics. With research continually evolving in the field there is no doubt that new techniques and tools will emerge to offer greater accuracy and speed in solving and analyzing even more fluid flow problems.

GBP 59.99
1

Moving Shape Analysis and Control Applications to Fluid Structure Interactions

Moving Shape Analysis and Control Applications to Fluid Structure Interactions

Problems involving the evolution of two- and three-dimensional domains arise in many areas of science and engineering. Emphasizing an Eulerian approach Moving Shape Analysis and Control: Applications to Fluid Structure Interactions presents valuable tools for the mathematical analysis of evolving domains. The book illustrates the efficiency of the tools presented through different examples connected to the analysis of noncylindrical partial differential equations (PDEs) such as Navier–Stokes equations for incompressible fluids in moving domains. The authors first provide all of the details of existence and uniqueness of the flow in both strong and weak cases. After establishing several important principles and methods they devote several chapters to demonstrating Eulerian evolution and derivation tools for the control of systems involving fluids and solids. The book concludes with the boundary control of fluid–structure interaction systems followed by helpful appendices that review some of the advanced mathematics used throughout the text. This authoritative resource supplies the computational tools needed to optimize PDEs and investigate the control of complex systems involving a moving boundary. | Moving Shape Analysis and Control Applications to Fluid Structure Interactions

GBP 59.99
1

Capillary Flows with Forming Interfaces

Capillary Flows with Forming Interfaces

Capillary Flows with Forming Interfaces explores numerous theoretical problems that arise in the mathematical description of capillary flows. It focuses on developing a unified approach to a variety of seemingly very different capillary flows of practical importance where classical fluid mechanics leads to nonphysical results. The book begins with a review of the conceptual framework of fluid mechanics and then proceeds to analyze the roots of singularities such as the moving contact-line problem and the capillary breakup problem. The author then examines how different singular flows can be described as particular cases of a general physical phenomenon of interface formation. He illustrates the developed mathematical models and experimentally verifies them through a number of example problems relevant to engineering applications. The conceptual framework provided in this reference enables further progress in developing mathematical models of capillary flows. The book also allows readers to make informed strategic choices regarding available numerical codes and the in-house development of these codes.

GBP 59.99
1

Self-Similarity and Beyond Exact Solutions of Nonlinear Problems

Self-Similarity and Beyond Exact Solutions of Nonlinear Problems

Nonlinearity plays a major role in the understanding of most physical chemical biological and engineering sciences. Nonlinear problems fascinate scientists and engineers but often elude exact treatment. However elusive they may be the solutions do exist-if only one perseveres in seeking them out. Self-Similarity and Beyond presents a myriad of approaches to finding exact solutions for a diversity of nonlinear problems. These include group-theoretic methods the direct method of Clarkson and Kruskal traveling waves hodograph methods balancing arguments embedding special solutions into a more general class and the infinite series approach. The author's approach is entirely constructive. Numerical solutions either motivate the analysis or confirm it therefore they are treated alongside the analysis whenever possible. Many examples drawn from real physical situations-primarily fluid mechanics and nonlinear diffusion-illustrate and emphasize the central points presented. Accessible to a broad base of readers Self-Similarity and Beyond illuminates a variety of productive methods for meeting the challenges of nonlinearity. Researchers and graduate students in nonlinearity partial differential equations and fluid mechanics along with mathematical physicists and numerical analysts will re-discover the importance of exact solutions and find valuable additions to their mathematical toolkits. | Self-Similarity and Beyond Exact Solutions of Nonlinear Problems

GBP 56.99
1

Handbook of Conformal Mappings and Applications

Handbook of Conformal Mappings and Applications

The subject of conformal mappings is a major part of geometric function theory that gained prominence after the publication of the Riemann mapping theorem — for every simply connected domain of the extended complex plane there is a univalent and meromorphic function that maps such a domain conformally onto the unit disk. The Handbook of Conformal Mappings and Applications is a compendium of at least all known conformal maps to date with diagrams and description and all possible applications in different scientific disciplines such as: fluid flows heat transfer acoustics electromagnetic fields as static fields in electricity and magnetism various mathematical models and methods including solutions of certain integral equations.

GBP 44.99
1

Performance Analysis of Queuing and Computer Networks

Performance Analysis of Queuing and Computer Networks

Performance Analysis of Queuing and Computer Networks develops simple models and analytical methods from first principles to evaluate performance metrics of various configurations of computer systems and networks. It presents many concepts and results of probability theory and stochastic processes. After an introduction to queues in computer networks this self-contained book covers important random variables such as Pareto and Poisson that constitute models for arrival and service disciplines. It then deals with the equilibrium M/M/1/∞queue which is the simplest queue that is amenable for analysis. Subsequent chapters explore applications of continuous time state-dependent single Markovian queues the M/G/1 system and discrete time queues in computer networks. The author then proceeds to study networks of queues with exponential servers and Poisson external arrivals as well as the G/M/1 queue and Pareto interarrival times in a G/M/1 queue. The last two chapters analyze bursty self-similar traffic and fluid flow models and their effects on queues.

GBP 59.99
1

A Theoretical Introduction to Numerical Analysis

A Theoretical Introduction to Numerical Analysis

A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis illustrating these concepts using numerical methods from real analysis linear algebra and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An accessible yet rigorous mathematical introduction this book provides a pedagogical account of the fundamentals of numerical analysis. The authors thoroughly explain basic concepts such as discretization error efficiency complexity numerical stability consistency and convergence. The text also addresses more complex topics like intrinsic error limits and the effect of smoothness on the accuracy of approximation in the context of Chebyshev interpolation Gaussian quadratures and spectral methods for differential equations. Another advanced subject discussed the method of difference potentials employs discrete analogues of Calderon’s potentials and boundary projection operators. The authors often delineate various techniques through exercises that require further theoretical study or computer implementation. By lucidly presenting the central mathematical concepts of numerical methods A Theoretical Introduction to Numerical Analysis provides a foundational link to more specialized computational work in fluid dynamics acoustics and electromagnetism.

GBP 59.99
1

Ratio of Momentum Diffusivity to Thermal Diffusivity Introduction Meta-analysis and Scrutinization

Ratio of Momentum Diffusivity to Thermal Diffusivity Introduction Meta-analysis and Scrutinization

This book presents a systematic introduction practical meaning and measurement of thermo-physical properties (i. e. viscosity density thermal conductivity specific heat capacity and thermal diffusivity) associated with the Prandtl number. The method of slope linear regression through the data points is presented in this textbook as a methodology for a deeper and insightful scrutinization. The book serves as a reference book for scientific investigators Teachers of Fluid Mechanics Experts on Heat and Mass Transfer Researchers on Boundary layer flows Mechanical and Chemical Engineers Physicists and Postgraduate Students working on transport phenomena who need theoretical and empirical reviews on the impact of increasing the ratio of momentum diffusivity to thermal diffusivity. Features: A systematic overview of the state-of-the-art in statistical methodology for understanding changes between dependent and independent variables. Pointers to some theoretical and empirical reviews on Prandtl number. Presents in-depth analysis of various self-similar flows emphasizing stretching induced flows nanofluid dynamics suction injection free convection mixed convection and forced convection. Insightful study on thermal radiation heat sour heat sink energy flux due to concentration gradient mass flux due to temperature gradient thermo-capillary convection flow Joule heating viscous dissipation thermal stratification thermophoresis and Brownian motion of particles. | Ratio of Momentum Diffusivity to Thermal Diffusivity Introduction Meta-analysis and Scrutinization

GBP 150.00
1

The Navier-Stokes Problem in the 21st Century

The Navier-Stokes Problem in the 21st Century

Praise for the first edition “The author is an outstanding expert in harmonic analysis who has made important contributions. The book contains rigorous proofs of a number of the latest results in the field. I strongly recommend the book to postgraduate students and researchers working on challenging problems of harmonic analysis and mathematical theory of Navier-Stokes equations. —Gregory Seregin St Hildas College Oxford University “This is a great book on the mathematical aspects of the fundamental equations of hydrodynamics the incompressible Navier-Stokes equations. It covers many important topics and recent results and gives the reader a very good idea about where the theory stands at present. ”—Vladimir Sverak University of Minnesota The complete resolution of the Navier–Stokes equation—one of the Clay Millennium Prize Problems—remains an important open challenge in partial differential equations (PDEs) research despite substantial studies on turbulence and three-dimensional fluids. The Navier–Stokes Problem in the 21st Century Second Edition continues to provide a self-contained guide to the role of harmonic analysis in the PDEs of fluid mechanics now revised to include fresh examples theorems results and references that have become relevant since the first edition published in 2016. | The Navier-Stokes Problem in the 21st Century

GBP 99.99
1

A First Course in Ordinary Differential Equations

A First Course in Ordinary Differential Equations

A First course in Ordinary Differential Equations provides a detailed introduction to the subject focusing on analytical methods to solve ODEs and theoretical aspects of analyzing them when it is difficult/not possible to find their solutions explicitly. This two-fold treatment of the subject is quite handy not only for undergraduate students in mathematics but also for physicists engineers who are interested in understanding how various methods to solve ODEs work. More than 300 end-of-chapter problems with varying difficulty are provided so that the reader can self examine their understanding of the topics covered in the text. Most of the definitions and results used from subjects like real analysis linear algebra are stated clearly in the book. This enables the book to be accessible to physics and engineering students also. Moreover sufficient number of worked out examples are presented to illustrate every new technique introduced in this book. Moreover the author elucidates the importance of various hypotheses in the results by providing counter examples. Features Offers comprehensive coverage of all essential topics required for an introductory course in ODE. Emphasizes on both computation of solutions to ODEs as well as the theoretical concepts like well-posedness comparison results stability etc. Systematic presentation of insights of the nature of the solutions to linear/non-linear ODEs. Special attention on the study of asymptotic behavior of solutions to autonomous ODEs (both for scalar case and 2✕2 systems). Sufficient number of examples are provided wherever a notion is introduced. Contains a rich collection of problems. This book serves as a text book for undergraduate students and a reference book for scientists and engineers. Broad coverage and clear presentation of the material indeed appeals to the readers. Dr. Suman K. Tumuluri has been working in University of Hyderabad India for 11 years and at present he is an associate professor. His research interests include applications of partial differential equations in population dynamics and fluid dynamics.

GBP 82.99
1