Physical and Mathematical Fluid Mechanics

Fluid mechanics has emerged as a basic concept for nearly every field of technology. Despite a well-developed mathematical theory and available commercial software codes, the computation of solutions of the governing equations of motion is still challenging, especially due to the nonlinearity involv...

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collection Directory of Open Access Books
description Fluid mechanics has emerged as a basic concept for nearly every field of technology. Despite a well-developed mathematical theory and available commercial software codes, the computation of solutions of the governing equations of motion is still challenging, especially due to the nonlinearity involved, and there are still open questions regarding the underlying physics of fluid flow, especially with respect to the continuum hypothesis and thermodynamic local equilibrium. The aim of this book is to reference recent advances in the field of fluid mechanics, both in terms of developing sophisticated mathematical methods for finding solutions to the equations of motion, on the one hand, and presenting novel approaches to the physical modeling, on the other hand. A wide range of topics is addressed, including general topics like formulations of the equations of motion in terms of conventional and potential fields; variational formulations, both deterministic and statistic, and their application to channel flows; vortex dynamics; flows through porous media; and also acoustic waves through porous media
format Online
id doab-20.500.12854ir-69410
institution Directory of Open Access Books
language eng
publishDate 2021
publishDateRange 2021
publishDateSort 2021
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-694102024-04-11T15:11:30Z Physical and Mathematical Fluid Mechanics Scholle, Markus image processing streaky structures hairpin vortex attached-eddy vortex streamwise vortex wetting shock fronts shear flow viscosity capillarity kinematic waves log-law flow partitioning theory characteristic point location velocity discharge groundwater inrush the Luotuoshan coalmine damage mechanism karst collapse column poroacoustics Rubin–Rosenau–Gottlieb theory solitary waves and kinks Navier–Stokes equation stochastic Lagrangian flows stochastic variational principles stochastic geometric mechanics potential fields Clebsch variables Airy’s stress function Goursat functions Galilean invariance variational principles boundary conditions film flows analytical and numerical methods variational calculus deterministic and stochastic approaches incompressible and compressible flow continuum hypothesis advanced mathematical methods thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology Fluid mechanics has emerged as a basic concept for nearly every field of technology. Despite a well-developed mathematical theory and available commercial software codes, the computation of solutions of the governing equations of motion is still challenging, especially due to the nonlinearity involved, and there are still open questions regarding the underlying physics of fluid flow, especially with respect to the continuum hypothesis and thermodynamic local equilibrium. The aim of this book is to reference recent advances in the field of fluid mechanics, both in terms of developing sophisticated mathematical methods for finding solutions to the equations of motion, on the one hand, and presenting novel approaches to the physical modeling, on the other hand. A wide range of topics is addressed, including general topics like formulations of the equations of motion in terms of conventional and potential fields; variational formulations, both deterministic and statistic, and their application to channel flows; vortex dynamics; flows through porous media; and also acoustic waves through porous media 2021-05-01T15:49:00Z 2021-05-01T15:49:00Z 2020 book ONIX_20210501_9783039437474_1156 9783039437474 9783039437481 https://directory.doabooks.org/handle/20.500.12854/69410 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/3212 https://mdpi.com/books/pdfview/book/3212 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03943-748-1 10.3390/books978-3-03943-748-1 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039437474 9783039437481 144 Basel, Switzerland open access
spellingShingle image processing
streaky structures
hairpin vortex
attached-eddy vortex
streamwise vortex
wetting shock fronts
shear flow
viscosity
capillarity
kinematic waves
log-law
flow partitioning theory
characteristic point location
velocity
discharge
groundwater inrush
the Luotuoshan coalmine
damage mechanism
karst collapse column
poroacoustics
Rubin–Rosenau–Gottlieb theory
solitary waves and kinks
Navier–Stokes equation
stochastic Lagrangian flows
stochastic variational principles
stochastic geometric mechanics
potential fields
Clebsch variables
Airy’s stress function
Goursat functions
Galilean invariance
variational principles
boundary conditions
film flows
analytical and numerical methods
variational calculus
deterministic and stochastic approaches
incompressible and compressible flow
continuum hypothesis
advanced mathematical methods
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology
Physical and Mathematical Fluid Mechanics
title Physical and Mathematical Fluid Mechanics
title_full Physical and Mathematical Fluid Mechanics
title_fullStr Physical and Mathematical Fluid Mechanics
title_full_unstemmed Physical and Mathematical Fluid Mechanics
title_short Physical and Mathematical Fluid Mechanics
title_sort physical and mathematical fluid mechanics
topic image processing
streaky structures
hairpin vortex
attached-eddy vortex
streamwise vortex
wetting shock fronts
shear flow
viscosity
capillarity
kinematic waves
log-law
flow partitioning theory
characteristic point location
velocity
discharge
groundwater inrush
the Luotuoshan coalmine
damage mechanism
karst collapse column
poroacoustics
Rubin–Rosenau–Gottlieb theory
solitary waves and kinks
Navier–Stokes equation
stochastic Lagrangian flows
stochastic variational principles
stochastic geometric mechanics
potential fields
Clebsch variables
Airy’s stress function
Goursat functions
Galilean invariance
variational principles
boundary conditions
film flows
analytical and numerical methods
variational calculus
deterministic and stochastic approaches
incompressible and compressible flow
continuum hypothesis
advanced mathematical methods
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology
topic_facet image processing
streaky structures
hairpin vortex
attached-eddy vortex
streamwise vortex
wetting shock fronts
shear flow
viscosity
capillarity
kinematic waves
log-law
flow partitioning theory
characteristic point location
velocity
discharge
groundwater inrush
the Luotuoshan coalmine
damage mechanism
karst collapse column
poroacoustics
Rubin–Rosenau–Gottlieb theory
solitary waves and kinks
Navier–Stokes equation
stochastic Lagrangian flows
stochastic variational principles
stochastic geometric mechanics
potential fields
Clebsch variables
Airy’s stress function
Goursat functions
Galilean invariance
variational principles
boundary conditions
film flows
analytical and numerical methods
variational calculus
deterministic and stochastic approaches
incompressible and compressible flow
continuum hypothesis
advanced mathematical methods
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology
url ONIX_20210501_9783039437474_1156