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The present text sets itself in relief to other titles on the
subject in that it addresses the means and methodologies versus a
narrow specific-task oriented approach. Concepts and their
developments which evolved to meet the changing needs of
applications are addressed. This approach provides the reader with
a general tool-box to apply to their specific needs. Two important
tools are presented: dimensional analysis and the similarity
analysis methods. The fundamental point of view, enabling one to
sort all models, is that of information flux between a model and an
original expressed by the similarity and abstraction Each chapter
includes original examples and applications. In this respect, the
models can be divided into several groups. The following models are
dealt with separately by chapter; mathematical and physical models,
physical analogues, deterministic, stochastic, and cybernetic
computer models. The mathematical models are divided into
asymptotic and phenomenological models. The phenomenological
models, which can also be called experimental, are usually the
result of an experiment on an complex object or process. The
variable dimensionless quantities contain information about the
real state of boundary conditions, parameter (non-linearity)
changes, and other factors. With satisfactory measurement accuracy
and experimental strategy, such models are highly credible and can
be used, for example in control systems.
The present text sets itself in relief to other titles on the
subject in that it addresses the means and methodologies versus a
narrow specific-task oriented approach. Concepts and their
developments which evolved to meet the changing needs of
applications are addressed. This approach provides the reader with
a general tool-box to apply to their specific needs. Two important
tools are presented: dimensional analysis and the similarity
analysis methods. The fundamental point of view, enabling one to
sort all models, is that of information flux between a model and an
original expressed by the similarity and abstraction Each chapter
includes original examples and applications. In this respect, the
models can be divided into several groups. The following models are
dealt with separately by chapter; mathematical and physical models,
physical analogues, deterministic, stochastic, and cybernetic
computer models. The mathematical models are divided into
asymptotic and phenomenological models. The phenomenological
models, which can also be called experimental, are usually the
result of an experiment on an complex object or process. The
variable dimensionless quantities contain information about the
real state of boundary conditions, parameter (non-linearity)
changes, and other factors. With satisfactory measurement accuracy
and experimental strategy, such models are highly credible and can
be used, for example in control systems.
Dimensionless quantities, such as p, e, and f are used in
mathematics, engineering, physics, and chemistry. In recent years
the dimensionless groups, as demonstrated in detail here, have
grown in significance and importance in contemporary mathematical
and computer modeling as well as the traditional fields of physical
modeling. This book offers the most comprehensive and up to date
resource for dimensionless quantities, providing not only a summary
of the quantities, but also a clarification of their physical
principles, areas of use, and other specific properties across
multiple relevant fields. Presenting the most complete and clearly
explained single resource for dimensionless groups, this book will
be essential for students and researchers working across the
sciences.
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