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This book describes analytical methods for modelling drop
evaporation, providing the mathematical tools needed in order to
generalise transport and constitutive equations and to find
analytical solutions in curvilinear coordinate systems. Transport
phenomena in gas mixtures are treated in considerable detail, and
the basics of differential geometry are introduced in order to
describe interface-related transport phenomena. One chapter is
solely devoted to the description of sixteen different orthogonal
curvilinear coordinate systems, reporting explicitly on the forms
of their differential operators (gradient, divergent, curl,
Laplacian) and transformation matrices. The book is intended to
guide the reader from mathematics, to physical descriptions, and
ultimately to engineering applications, in order to demonstrate the
effectiveness of applied mathematics when properly adapted to the
real world. Though the book primarily addresses the needs of
engineering researchers, it will also benefit graduate students.
This book provides a selection of contributions to the DIPSI
workshop 2019 (Droplet Impact Phenomena & Spray Investigations)
as well as recent progress of the Int. Research Training Group
"DROPIT".The DIPSI workshop, which is now at its thirteenth
edition, represents an important opportunity to share recent
knowledge on droplets and sprays in a variety of research fields
and industrial applications. The research training group "DROPIT"
is focused on droplet interaction technologies where microscopic
effects influence strongly macroscopic behavior. This requires the
inclusion of interface kinetics and/or a detailed analysis of
surface microstructures. Normally, complicated technical processes
cover the underlying basic mechanisms, and therefore, progress in
the overall process modelling can hardly be gained. Therefore,
DROPIT focuses on the underlying basic processes. This is done by
investigating different spatial and/or temporal scales of the
problems and by linking them through a multi-scale approach. In
addition, multi-physics are required to understand e.g. problems
for droplet-wall interactions, where porous structures are
involved.
This book provides a selection of contributions to the DIPSI
workshop 2019 (Droplet Impact Phenomena & Spray Investigations)
as well as recent progress of the Int. Research Training Group
"DROPIT".The DIPSI workshop, which is now at its thirteenth
edition, represents an important opportunity to share recent
knowledge on droplets and sprays in a variety of research fields
and industrial applications. The research training group "DROPIT"
is focused on droplet interaction technologies where microscopic
effects influence strongly macroscopic behavior. This requires the
inclusion of interface kinetics and/or a detailed analysis of
surface microstructures. Normally, complicated technical processes
cover the underlying basic mechanisms, and therefore, progress in
the overall process modelling can hardly be gained. Therefore,
DROPIT focuses on the underlying basic processes. This is done by
investigating different spatial and/or temporal scales of the
problems and by linking them through a multi-scale approach. In
addition, multi-physics are required to understand e.g. problems
for droplet-wall interactions, where porous structures are
involved.
This book describes analytical methods for modelling drop
evaporation, providing the mathematical tools needed in order to
generalise transport and constitutive equations and to find
analytical solutions in curvilinear coordinate systems. Transport
phenomena in gas mixtures are treated in considerable detail, and
the basics of differential geometry are introduced in order to
describe interface-related transport phenomena. One chapter is
solely devoted to the description of sixteen different orthogonal
curvilinear coordinate systems, reporting explicitly on the forms
of their differential operators (gradient, divergent, curl,
Laplacian) and transformation matrices. The book is intended to
guide the reader from mathematics, to physical descriptions, and
ultimately to engineering applications, in order to demonstrate the
effectiveness of applied mathematics when properly adapted to the
real world. Though the book primarily addresses the needs of
engineering researchers, it will also benefit graduate students.
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