A Hausdorﬀ measure version of the Duﬃn-Schaeﬀer conjecture in metric number theory is introduced and discussed. The general conjecture is established modulo the original conjecture. The key result is a Mass Transference Principle which allows us to transfer Lebesgue measure theoretic statements for lim sup subsets of Rk to Hausdorﬀ measure theoretic statements. In view of this, the Lebesgue theory of lim sup sets is shown to underpin the general Hausdorﬀ theory. This is rather surprising since the latter theory is viewed to be a subtle reﬁnement of the former. ...
A heat and mass transfer were two processes which occurred during vacuum frying potato chips. The heat transfer process included the convection of heat from the surface to the product and the conduction of heat into the product.
This book was developed by Professor S. Mostafa Ghiaasiaan during
10 years of teaching a graduate-level course on convection heat and
mass transfer. The book is ideal for a graduate course dealing with the-
ory and practice of convection heat and mass transfer. The book treats
well-established theory and practice on the one hand; on the other
hand, it is enriched by modern areas such as flow in microchannels and
computational fluid dynamics–based design and analysis methods. The
book is primarily concerned with convective heat transfer.
Mass transfer in the multiphase multicomponent systems represents one of the most
important problems to be solved in chemical technology, both in theoretical as well
as practical point of view. In libraries all over the world, many books and articles
can be found related to the mass transfer. Practically, all textbooks devoted to the
separation processes or reaction engineering contain chapters describing the basic
principles of the mass (and heat) transfer.
This book covers a number of developing topics in mass transfer processes in multiphase
systems for a variety of applications. The book eff ectively blends theoretical,
numerical, modeling, and experimental aspects of mass transfer in multiphase systems
that are usually encountered in many research areas such as chemical, reactor,
environmental and petroleum engineering.
This book covers a number of topics in heat and mass transfer processes for a variety
of industrial applications. The research papers provide information and guidelines in
terms of theory, mathematical modeling and experimental findings in many research
areas relevant to the design of industrial processes and equipment. The equipment
includes air heaters, cooling towers, chemical system vaporization, high temperature
polymerization and hydrogen production by steam reforming.
This book introduces a number of selected advanced topics in mass transfer phenomenon
and covers its theoretical, numerical, modeling and experimental aspects. The
26 chapters of this book are divided into fi ve parts. The fi rst is devoted to the study
of some problems of mass transfer in microchannels, turbulence, waves and plasma,
while the chapters regarding mass transfer with hydro-, magnetohydro- and electrodynamics
are collected in the second part.
The radiation of the sun in which the planet is incessantly plunged, penetrates
the air, the earth, and the waters; its elements are divided, change
direction in every way, and, penetrating the mass of the globe, would raise
its temperature more and more, if the heat acquired were not exactly
balanced by that which escapes in rays from all points of the surface and
expands through the sky.