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This book presents a new algorithm to calculate fluid flow and heat
transfer of laminar mixed convection. It provides step-by-step
tutorial help to learn quickly how to set up the theoretical and
numerical models of laminar mixed convection, to consider the
variable physical properties of fluids, to obtain the system of
numerical solutions, to create a series of formalization equations
for the convection heat transfer by using a curve-fitting approach
combined with theoretical analysis and derivation. It presents the
governing ordinary differential equations of laminar mixed
convection, equivalently transformed by an innovative similarity
transformation with the description of the related transformation
process. A system of numerical calculations of the governing
ordinary differential equations is presented for the water laminar
mixed convection. A polynomial model is induced for convenient and
reliable treatment of variable physical properties of liquids. The
developed formalization equations of mixed convection heat transfer
coefficient have strong theoretical and practical value for heat
transfer applications because they are created based on a better
consideration of variable physical properties of fluids, accurate
numerical solutions and rigorous formalization equations combined
with rigorous theoretical derivation. This book is suitable for
scientific researchers, engineers, professors, master and PhD
students of fluid mechanics and convection heat and mass transfer.
This book presents a new algorithm to calculate fluid flow and heat
transfer of laminar mixed convection. It provides step-by-step
tutorial help to learn quickly how to set up the theoretical and
numerical models of laminar mixed convection, to consider the
variable physical properties of fluids, to obtain the system of
numerical solutions, to create a series of formalization equations
for the convection heat transfer by using a curve-fitting approach
combined with theoretical analysis and derivation. It presents the
governing ordinary differential equations of laminar mixed
convection, equivalently transformed by an innovative similarity
transformation with the description of the related transformation
process. A system of numerical calculations of the governing
ordinary differential equations is presented for the water laminar
mixed convection. A polynomial model is induced for convenient and
reliable treatment of variable physical properties of liquids. The
developed formalization equations of mixed convection heat transfer
coefficient have strong theoretical and practical value for heat
transfer applications because they are created based on a better
consideration of variable physical properties of fluids, accurate
numerical solutions and rigorous formalization equations combined
with rigorous theoretical derivation. This book is suitable for
scientific researchers, engineers, professors, master and PhD
students of fluid mechanics and convection heat and mass transfer.
This book presents recent developments in our systematic studies of
hydrodynamics and heat and mass transfer in laminar free
convection, accelerating film boiling and condensation of Newtonian
fluids, as well as accelerating film flow of non-Newtonian
power-law fluids (FFNF). These new developments provided in this
book are (i) novel system of analysis models based on the developed
New Similarity Analysis Method; (ii) a system of advanced methods
for treatment of gas temperature- dependent physical properties,
and liquid temperature- dependent physical properties; (iii) the
organically combined models of the governing mathematical models
with those on treatment model of variable physical properties; (iv)
rigorous approach of overcoming a challenge on accurate solution of
three-point boundary value problem related to two-phase film
boiling and condensation; and (v) A pseudo-similarity method of
dealing with thermal boundary layer of FFNF for greatly simplifies
the heat-transfer analysis and numerical calculation. A system of
practical application equations on heat and mass transfer are
provided in each chapter, which are formulated based on the
rigorous numerical solutions with consideration of variable
physical properties. In addition, in the second edition, other new
research developments are further included on resolving an even big
challenge associated with investigations of laminar free film
condensation of vapour-gas mixture. They involve the novel methods
for treatment of concentration- and temperature- dependent physical
properties of vapour-gas mixture, and for rigorous solution of
interfacial vapour saturation temperature, which have lead to
rigorous analysis and calculation results on two-phase film flow
velocity, temperature, and concentration fields, as well as
condensate heat and mass transfer.
This book presents recent developments in our systematic studies of
hydrodynamics and heat and mass transfer in laminar free
convection, accelerating film boiling and condensation of Newtonian
fluids, as well as accelerating film flow of non-Newtonian
power-law fluids (FFNF). These new developments provided in this
book are (i) novel system of analysis models based on the developed
New Similarity Analysis Method; (ii) a system of advanced methods
for treatment of gas temperature- dependent physical properties,
and liquid temperature- dependent physical properties; (iii) the
organically combined models of the governing mathematical models
with those on treatment model of variable physical properties; (iv)
rigorous approach of overcoming a challenge on accurate solution of
three-point boundary value problem related to two-phase film
boiling and condensation; and (v) A pseudo-similarity method of
dealing with thermal boundary layer of FFNF for greatly simplifies
the heat-transfer analysis and numerical calculation. A system of
practical application equations on heat and mass transfer are
provided in each chapter, which are formulated based on the
rigorous numerical solutions with consideration of variable
physical properties. In addition, in the second edition, other new
research developments are further included on resolving an even big
challenge associated with investigations of laminar free film
condensation of vapour-gas mixture. They involve the novel methods
for treatment of concentration- and temperature- dependent physical
properties of vapour-gas mixture, and for rigorous solution of
interfacial vapour saturation temperature, which have lead to
rigorous analysis and calculation results on two-phase film flow
velocity, temperature, and concentration fields, as well as
condensate heat and mass transfer.
Developing a new treatment of 'Free Convection Film Flows and Heat
Transfer' began in Shang's first monograph and is continued in this
monograph. The current book displays the recent developments of
laminar forced convection and forced film condensation. It is aimed
at revealing the true features of heat and mass transfer with
forced convection film flows to model the deposition of thin
layers. The novel mathematical similarity theory model is developed
to simulate temperature- and concentration- dependent physical
processes. The following topics are covered in this book: 1.
Mathematical methods - advanced similarity analysis method to
replace the traditional Falkner-Skan type transformation - a novel
system of similarity analysis and transformation models to overcome
the difficult issues of forced convection and forced film flows -
heat and mass transfer equations based on the advanced similarity
analysis models and equations formulated with rigorous key
numerical solutions 2. Modeling the influence of physical factors -
effect of thermal dissipation on forced convection heat transfer -
a system of models of temperature and concentration-dependent
variable physical properties based on the advanced
temperature-parameter model and rigorous analysis model on
vapor-gas mixture physical properties for the rigorous and
convenient description of the governing differential equations - an
available approach to satisfy interfacial matching conditions for
rigorous and reliable solutions - a system of numerical results on
velocity, temperature and concentration fields, as well as, key
solutions on heat and mass transfer - the effect of non-condensable
gas on heat and mass transfer for forced film condensation. This
way it is realized to conveniently and reliably predict heat and
mass transfer for convection and film flows and to resolve a series
of current difficult issues of heat and mass transfer with forced
convection film flows. Professionals in this fields as well as
graduate students will find this a valuable book for their work.
Developing a new treatment of 'Free Convection Film Flows and Heat
Transfer' began in Shang's first monograph and is continued in this
monograph. The current book displays the recent developments of
laminar forced convection and forced film condensation. It is aimed
at revealing the true features of heat and mass transfer with
forced convection film flows to model the deposition of thin
layers. The novel mathematical similarity theory model is developed
to simulate temperature- and concentration- dependent physical
processes. The following topics are covered in this book: 1.
Mathematical methods - advanced similarity analysis method to
replace the traditional Falkner-Skan type transformation - a novel
system of similarity analysis and transformation models to overcome
the difficult issues of forced convection and forced film flows -
heat and mass transfer equations based on the advanced similarity
analysis models and equations formulated with rigorous key
numerical solutions 2. Modeling the influence of physical factors -
effect of thermal dissipation on forced convection heat transfer -
a system of models of temperature and concentration-dependent
variable physical properties based on the advanced
temperature-parameter model and rigorous analysis model on
vapor-gas mixture physical properties for the rigorous and
convenient description of the governing differential equations - an
available approach to satisfy interfacial matching conditions for
rigorous and reliable solutions - a system of numerical results on
velocity, temperature and concentration fields, as well as, key
solutions on heat and mass transfer - the effect of non-condensable
gas on heat and mass transfer for forced film condensation. This
way it is realized to conveniently and reliably predict heat and
mass transfer for convection and film flows and to resolve a series
of current difficult issues of heat and mass transfer with forced
convection film flows. Professionals in this fields as well as
graduate students will find this a valuable book for their work.
This book presents recent developments in systematic studies of
hydrodynamics and heat and mass transfer in laminar free
convection, accelerating film boiling and condensation of Newtonian
fluids, as well as accelerating film flow of non-Newtonian
power-law fluids (FFNF). A novel system of analysis models is
provided with a developed velocity component method and a system of
models for treatment of variable thermophysical properties is
presented.
This book presents a theoretical study of heat transfer due to
laminar natural convection of nanofluids, using Al2O3-water
nanofluid as an example. An innovative method of similarity
transformation of velocity fields on laminar boundary layers is
applied for the development of a mathematical governing model of
natural convection with actual nanofluids, and a novel model of the
nanofluid's variable thermophysical properties is derived by a
mathematical analysis based on the developed model of variable
physical properties of fluids combined with the model of the
nanofluid's thermal conductivity and viscosity. Based on these, the
physical property factors of nanofluids are produced, which leads
to a simultaneous solution for deep investigations of hydrodynamics
and heat transfer of nanofluid's natural convection. The book also
proposes novel predictive formulae for the evaluation of heat
transfer of Al2O3-water nanofluid's natural convection. The
formulae have reliable theoretical and practical value because they
are developed by rigorous theoretical analysis of heat transfer
combined with full consideration of the effects of the
temperature-dependent physical properties of nanofluids and the
nanoparticle shape factor and concentration, as well as variations
of fluid boundary temperatures. The conversion factors proposed
help to turn the heat transfer coefficient and rate of fluid
natural convection into those of nanofluid natural convection.
Furthermore, several calculation examples are provided to
demonstrate the heat transfer application of the proposed
predictive formulae.
This book presents a theoretical study of heat transfer due to
laminar natural convection of nanofluids, using Al2O3-water
nanofluid as an example. An innovative method of similarity
transformation of velocity fields on laminar boundary layers is
applied for the development of a mathematical governing model of
natural convection with actual nanofluids, and a novel model of the
nanofluid's variable thermophysical properties is derived by a
mathematical analysis based on the developed model of variable
physical properties of fluids combined with the model of the
nanofluid's thermal conductivity and viscosity. Based on these, the
physical property factors of nanofluids are produced, which leads
to a simultaneous solution for deep investigations of hydrodynamics
and heat transfer of nanofluid's natural convection. The book also
proposes novel predictive formulae for the evaluation of heat
transfer of Al2O3-water nanofluid's natural convection. The
formulae have reliable theoretical and practical value because they
are developed by rigorous theoretical analysis of heat transfer
combined with full consideration of the effects of the
temperature-dependent physical properties of nanofluids and the
nanoparticle shape factor and concentration, as well as variations
of fluid boundary temperatures. The conversion factors proposed
help to turn the heat transfer coefficient and rate of fluid
natural convection into those of nanofluid natural convection.
Furthermore, several calculation examples are provided to
demonstrate the heat transfer application of the proposed
predictive formulae.
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