Böcker i Mathematical Engineering-serien

This book is aimed to provide comprehensive and systematic knowledge of kinematic synthesis as developed up to date. Modern mechanical systems require advance kinematics knowledge to support mechanism design with sound theories and methods. The book includes not only the classical foundations of kinematic synthesis, but also the latest advances developed by the authors. Moreover, many examples are included to illustrate both methods and their supporting theory.The focus is on systems of rigid bodies forming closed loops. The four-bar linkage, representing the foundations of mechanical systems,  is given due attention, in its three domains: planar, spherical, and spatial. The book contains six chapters, the first two covering fundamentals for kinematic synthesis, including qualitative synthesis. Chapters 3-5 describe, in full detail,  the function, motion, and path syntheses of single-dof linkages.  In the last chapter, the synthesis of single-dof complex linkages, including six-bar and ten-bar linkages, is introduced.The book is suitable for graduate students of mechanical engineering, researchers of mechanism and robot design, and machine design engineers.

This book provides qualitative and quantitative methods to analyze and better understand phenomena that change in space and time. An innovative approach is to incorporate ideas and methods from dynamical systems and equivariant bifurcation theory to model, analyze and predict the behavior of mathematical models. In addition, real-life data is incorporated in the derivation of certain models. For instance, the model for a fluxgate magnetometer includes experiments in support of the model.The book is intended for interdisciplinary scientists in STEM fields, who might be interested in learning the skills to derive a mathematical representation for explaining the evolution of a real system. Overall, the book could be adapted in undergraduate- and postgraduate-level courses, with students from various STEM fields, including: mathematics, physics, engineering and biology.

This book acts as a guide to simple models that describe some of the complex fluid dynamics, heat/mass transfer and combustion processes in droplets and sprays. Attention is focused mainly on the use of classical hydrodynamics, and a combination of kinetic and hydrodynamic models, to analyse the heating and evaporation of mono- and multi-component droplets. The models were developed for cases when small and large numbers of components are present in droplets. Some of these models are used for the prediction of time to puffing/micro-explosion of composite water/fuel droplets - processes that are widely used in combustion devices to stimulate disintegration of relatively large droplets into smaller ones. The predictions of numerical codes based on these models are validated against experimental results where possible. In most of the models, droplets are assumed to be spherical; some preliminary results of the generalisation of these models to the case of non-spherical droplets, approximating them as spheroids, are presented.

An original method of investigation of the conjugate conductive-convective problem of periodic heat transfer is developed. The novelty of the approach is that a particular conjugate problem is replaced by a general boundary-value problem for the heat conduction equation in the solid. Within the framework of the hyperbolic model of thermal conductivity, the effect of self-reinforcement of the degree of conjugation by increasing the period of oscillations is found. The processes of hydrodynamics and heat exchange with periodic internal structure are considered: periodic model of turbulent heat transfer, hydrodynamic instability, bubbles dynamics in liquid, and model of evaporating meniscus. The book is intended as a source and reference work for researchers and graduate students interested in the field of conjugate heat transfer.

This monograph presents a comprehensive treatment of analytical solutions to problems in the area of non-equilibrium evaporation and condensation processes. The book covers, among others, topics such as systems of conversation equations for molecular fluxes of mass, momentum and energy within the Knudsen layer, spherical growth of vapor bubbles in volumes of highly superheated liquid. The target audience primarily comprises research experts in the field of thermodynamics and fluid dynamics, but the book may also be beneficial for graduate students alike.

The second edition is extended by (i) the conjugate "strong evaporation - heat conduction" problem, (ii) the influence of accommodation coefficients on intensive processes of evaporation and condensation, (iii) the problem of supersonic condensation.

This volume explores the rich interplay between number theory and wireless communications, reviewing the surprisingly deep connections between these fields and presenting new research directions to inspire future research.

This volume explores the rich interplay between number theory and wireless communications, reviewing the surprisingly deep connections between these fields and presenting new research directions to inspire future research.

The book provides a summary of the historical evolution of dimensional analysis, and frames the problem of dimensions, systems of units and similarity in a vision dominated by the conventions that formalise even the exact sciences.The first four chapters address the definitions, with few dimensional analysis theorems and similarity criteria.

This book suggests that the numerical analysis subjects¿ matter are the important tools of the book topic, because numerical errors and methods have important roles in solving integral equations. Therefore, all needed topics including a brief description of interpolation are explained in the book. The integral equations have many applications in the engineering, medical, and economic sciences, so the present book contains new and useful materials about interval computations including interval interpolations that are going to be used in interval integral equations.The concepts of integral equations are going to be discussed in two directions, analytical concepts, and numerical solutions which both are necessary for these kinds of dynamic systems. The differences between this book with the others are a full discussion of error topics and also using interval interpolations concepts to obtain interval integral equations. All researchers and students in the field of mathematical, computer, and also engineering sciences can benefit the subjects of the book.

The book provides a self-contained treatment of stochastic finite element methods. The book covers the basic topics of computational stochastic mechanics focusing on the stochastic analysis of structural systems in the framework of the finite element method.

This monograph provides the fundamentals of dimensional analysis and illustrates the method by numerous examples for a wide spectrum of applications in engineering. The book covers thoroughly the fundamental definitions and the Buckingham theorem, as well as the choice of the system of basic units.

This monograph presents a graduate-level treatment of partial differential equations (PDEs) for engineers.

In this book new experimental investigations of properties of Josephson junctions and systems are explored with the help of recent developments in superconductivity. Application of Josephson junctions in quantum computing as superconducting quantum bits are analyzed.

This authored monograph provides a detailed discussion of the boundary layer flow due to a moving plate. The author derives a criterion for the self-similar and non-similar flow, and the turbulent flow due to a stretching or shrinking sheet is also discussed.

Differential Geometry offers a concise introduction to some basic notions of modern differential geometry and their applications to solid mechanics and physics. Concepts such as manifolds, groups, fibre bundles and groupoids are first introduced within a purely topological framework.

The underlying strategy of deriving the finite element solution is introduced using linear ordinary differential equations, thus allowing the basic concepts of the finite element solution to be introduced without being obscured by the additional mathematical detail required when applying this technique to partial differential equations.

This monograph comprehensively describes phenomena of heat flow during phase change as well as the dynamics of liquid solidification, i.e. The target audience primarily comprises researchers and experts in the field of heat flow, but the book may also be beneficial for both practicing engineers and graduate students.

The first part is devoted to the study of channel flows, in particularthe lateral flow of a viscous and viscous-plastic liquid in a ring channelformed by coaxial cylinders.

This book provides analytical solutions to a number of classical problems in transport processes, i.e. Furthermore, analytical solutions for transport processes provide a much deeper understanding of the physical phenomena involved in a given process than do corresponding numerical solutions.

This monograph investigates violations of statistical stability of physical events, variables, and processes and develops a new physical-mathematical theory taking into consideration such violations - the theory of hyper-random phenomena.

This is the fourth and revised edition of a well-received book that aims at bridging the gap between the engineering course of tensor algebra on the one side and the mathematical course of classical linear algebra on the other side.

This book provides an introduction to sensor data fusion, as an information technology as well as a branch of engineering science and informatics. It presents a coherent methodological framework and features advanced application examples.