TY - BOOK ID - 133647976 TI - Physical and Mathematical Fluid Mechanics PY - 2020 PB - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute DB - UniCat KW - History of engineering & technology KW - image processing KW - streaky structures KW - hairpin vortex KW - attached-eddy vortex KW - streamwise vortex KW - wetting shock fronts KW - shear flow KW - viscosity KW - capillarity KW - kinematic waves KW - log-law KW - flow partitioning theory KW - characteristic point location KW - velocity KW - discharge KW - groundwater inrush KW - the Luotuoshan coalmine KW - damage mechanism KW - karst collapse column KW - poroacoustics KW - Rubin–Rosenau–Gottlieb theory KW - solitary waves and kinks KW - Navier–Stokes equation KW - stochastic Lagrangian flows KW - stochastic variational principles KW - stochastic geometric mechanics KW - potential fields KW - Clebsch variables KW - Airy’s stress function KW - Goursat functions KW - Galilean invariance KW - variational principles KW - boundary conditions KW - film flows KW - analytical and numerical methods KW - variational calculus KW - deterministic and stochastic approaches KW - incompressible and compressible flow KW - continuum hypothesis KW - advanced mathematical methods UR - https://www.unicat.be/uniCat?func=search&query=sysid:133647976 AB - 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 ER -