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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Bibliographic Details
Other Authors: Scholle, Markus (Editor)
Format: Electronic Book Chapter
Language:English
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
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Online Access:DOAB: download the publication
DOAB: description of the publication
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520 |a 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 
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650 7 |a History of engineering & technology  |2 bicssc 
653 |a image processing 
653 |a streaky structures 
653 |a hairpin vortex 
653 |a attached-eddy vortex 
653 |a streamwise vortex 
653 |a wetting shock fronts 
653 |a shear flow 
653 |a viscosity 
653 |a capillarity 
653 |a kinematic waves 
653 |a log-law 
653 |a flow partitioning theory 
653 |a characteristic point location 
653 |a velocity 
653 |a discharge 
653 |a groundwater inrush 
653 |a the Luotuoshan coalmine 
653 |a damage mechanism 
653 |a karst collapse column 
653 |a poroacoustics 
653 |a Rubin-Rosenau-Gottlieb theory 
653 |a solitary waves and kinks 
653 |a Navier-Stokes equation 
653 |a stochastic Lagrangian flows 
653 |a stochastic variational principles 
653 |a stochastic geometric mechanics 
653 |a potential fields 
653 |a Clebsch variables 
653 |a Airy's stress function 
653 |a Goursat functions 
653 |a Galilean invariance 
653 |a variational principles 
653 |a boundary conditions 
653 |a film flows 
653 |a analytical and numerical methods 
653 |a variational calculus 
653 |a deterministic and stochastic approaches 
653 |a incompressible and compressible flow 
653 |a continuum hypothesis 
653 |a advanced mathematical methods 
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