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Dynamical and vibratory systems are basically an application of
mathematics and applied sciences to the solution of real world
problems. Before being able to solve real world problems, it is
necessary to carefully study dynamical and vibratory systems and
solve all available problems in case of linear and nonlinear
equations using analytical and numerical methods. It is of great
importance to study nonlinearity in dynamics and vibration; because
almost all applied processes act nonlinearly, and on the other
hand, nonlinear analysis of complex systems is one of the most
important and complicated tasks, especially in engineering and
applied sciences problems.
There are probably a handful of books on nonlinear dynamics and
vibrations analysis. Some of these books are written at a
fundamental level that may not meet ambitious engineering program
requirements. Others are specialized in certain fields of
oscillatory systems, including modeling and simulations. In this
book, we attempt to strike a balance between theory and practice,
fundamentals and advanced subjects, and generality and
specialization. None of the books in this area have completely
studied and analyzed nonlinear equation in dynamical and vibratory
systems using the latest analytical and numerical methods, so that
the user can solve the problems without the need of studying too
many different references. Thereby in this book, by the use of the
latest analytic, numeric laboratorial methods and using more than
300 references like books, papers and the researches done by the
authors and by considering almost all possible processes and
situation, new theories has been proposed to encounter applied
problems in engineering and applied sciences. In this way, the user
(bachelor's, master's and PhD students, university teachers and
even in research centers in different fields of mechanical, civil,
aerospace, electrical, chemical, applied mathematics, physics, and
etc.) can encounter such systems confidently. In the different
chapters of the book, not only are the linear and especially
nonlinear problems with oscillatory form broadly discussed, but
also applied examples are practically solved by the proposed
methodology.
Dynamical and vibratory systems are basically an application of
mathematics and applied sciences to the solution of real world
problems. Before being able to solve real world problems, it is
necessary to carefully study dynamical and vibratory systems and
solve all available problems in case of linear and nonlinear
equations using analytical and numerical methods. It is of great
importance to study nonlinearity in dynamics and vibration; because
almost all applied processes act nonlinearly, and on the other
hand, nonlinear analysis of complex systems is one of the most
important and complicated tasks, especially in engineering and
applied sciences problems. There are probably a handful of books on
nonlinear dynamics and vibrations analysis. Some of these books are
written at a fundamental level that may not meet ambitious
engineering program requirements. Others are specialized in certain
fields of oscillatory systems, including modeling and simulations.
In this book, we attempt to strike a balance between theory and
practice, fundamentals and advanced subjects, and generality and
specialization. None of the books in this area have completely
studied and analyzed nonlinear equation in dynamical and vibratory
systems using the latest analytical and numerical methods, so that
the user can solve the problems without the need of studying too
many different references. Thereby in this book, by the use of the
latest analytic, numeric laboratorial methods and using more than
300 references like books, papers and the researches done by the
authors and by considering almost all possible processes and
situation, new theories has been proposed to encounter applied
problems in engineering and applied sciences. In this way, the user
(bachelor's, master's and PhD students, university teachers and
even in research centers in different fields of mechanical, civil,
aerospace, electrical, chemical, applied mathematics, physics, and
etc.) can encounter such systems confidently. In the different
chapters of the book, not only are the linear and especially
nonlinear problems with oscillatory form broadly discussed, but
also applied examples are practically solved by the proposed
methodology.
Heat Transfer Enhancement Using Nanofluid Flow in Microchannels:
Simulation of Heat and Mass Transfer focuses on the numerical
simulation of passive techniques, and also covers the applications
of external forces on heat transfer enhancement of nanofluids in
microchannels. Economic and environmental incentives have increased
efforts to reduce energy consumption. Heat transfer enhancement,
augmentation, or intensification are the terms that many scientists
employ in their efforts in energy consumption reduction. These can
be divided into (a) active techniques which require external forces
such as magnetic force, and (b) passive techniques which do not
require external forces, including geometry refinement and fluid
additives.
This book seeks to comprehensively cover recent progress in
computational fluid dynamics and nonlinear science and its
applications to MHD and FHD nanofluid flow and heat transfer. The
book will be a valuable reference source to researchers in various
fields, including materials science, nanotechnology, mathematics,
physics, information science, engineering and medicine, seeing to
understand the impact of external magnetic fields on the
hydrothermal behavior of nanofluids in order to solve a wide
variety of theoretical and practical problems.
With Application of Nonlinear Systems in Nanomechanics and
Nanofluids the reader gains a deep and practice-oriented
understanding of nonlinear systems within areas of nanotechnology
application as well as the necessary knowledge enabling the
handling of such systems. The book helps readers understand
relevant methods and techniques for solving nonlinear problems, and
is an invaluable reference for researchers, professionals and PhD
students interested in research areas and industries where
nanofluidics and dynamic nano-mechanical systems are studied or
applied. The book is useful in areas such as nanoelectronics and
bionanotechnology, and the underlying framework can also be applied
to other problems in various fields of engineering and applied
sciences.
Control volume finite element methods (CVFEM) bridge the gap
between finite difference and finite element methods, using the
advantages of both methods for simulation of multi-physics problems
in complex geometries. In Hydrothermal Analysis in Engineering
Using Control Volume Finite Element Method, CVFEM is covered in
detail and applied to key areas of thermal engineering. Examples,
exercises, and extensive references are used to show the use of the
technique to model key engineering problems such as heat transfer
in nanofluids (to enhance performance and compactness of energy
systems), hydro-magnetic techniques in materials and
bioengineering, and convective flow in fluid-saturated porous
media. The topics are of practical interest to engineering,
geothermal science, and medical and biomedical sciences.
Nonlinear Heat Transfer: Mathematical Modeling and Analytical
Methods addresses recent progress and original research in
nonlinear science and its application in the area of heat transfer,
with a particular focus on the most important advances and
challenging applications. The importance of understanding
analytical methods for solving linear and nonlinear constitutive
equations is essential in studying engineering problems. This book
provides a comprehensive range of (partial) differential equations,
applied in the field of heat transfer, tackling a comprehensive
range of nonlinear mathematical problems in heat radiation, heat
conduction, heat convection, heat diffusion and non-Newtonian fluid
systems. Providing various innovative analytical techniques and
their practical application in nonlinear engineering problems is
the unique point of this book. Drawing a balance between theory and
practice, the different chapters of the book focus not only on the
broader linear and nonlinear problems, but also applied examples of
practical solutions by the outlined methodologies.
Application of Semi-Analytical Methods for Nanofluid Flow and Heat
Transfer applies semi-analytical methods to solve a range of
engineering problems. After various methods are introduced, their
application in nanofluid flow and heat transfer,
magnetohydrodynamic flow, electrohydrodynamic flow and heat
transfer, and nanofluid flow in porous media within several
examples are explored. This is a valuable reference resource for
materials scientists and engineers that will help familiarize them
with a wide range of semi-analytical methods and how they are used
in nanofluid flow and heat transfer. The book also includes case
studies to illustrate how these methods are used in practice.
Differential Transformation Method for Mechanical Engineering
Problems focuses on applying DTM to a range of mechanical
engineering applications. The authors modify traditional DTM to
produce two additional methods, multi-step differential
transformation method (Ms-DTM) and the hybrid differential
transformation method and finite difference method (Hybrid
DTM-FDM). It is then demonstrated how these can be a suitable
series solution for engineering and physical problems, such as the
motion of a spherical particle, nanofluid flow and heat transfer,
and micropolar fluid flow and heat transfer.
Few nonlinear differential equations have explicit solutions
expressible in finite terms. This is not simply because ingenuity
fails. It is because the repertory of standard functions is too
limited to accommodate the variety of differential equations
encountered in practice. Nonlinear Equations for Problem Solving in
Mechanical Engineering provides innovative insights into dynamic
systems in the context of nonlinear differential equations and
explores the application of nonlinear science in different areas of
engineering. The content within this publication examines dynamic
systems, numerical methods, and differential equations. It is
designed for engineers, academicians, students, professionals,
industry leaders, and researchers.
Applications of Nanofluid for Heat Transfer Enhancement explores
recent progress in computational fluid dynamic and nonlinear
science and its applications to nanofluid flow and heat transfer.
The opening chapters explain governing equations and then move on
to discussions of free and forced convection heat transfers of
nanofluids. Next, the effect of nanofluid in the presence of an
electric field, magnetic field, and thermal radiation are
investigated, with final sections devoted to nanofluid flow in
porous media and application of nanofluid for solidification. The
models discussed in the book have applications in various fields,
including mathematics, physics, information science, biology,
medicine, engineering, nanotechnology, and materials science.
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