03658nam 2200805z- 450 991055711240332120231214132838.0(CKB)5400000000040922(oapen)https://directory.doabooks.org/handle/20.500.12854/69410(EXLCZ)99540000000004092220202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierPhysical and Mathematical Fluid MechanicsBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 electronic resource (144 p.)3-03943-747-X 3-03943-748-8 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 mediaHistory of engineering & technologybicsscimage processingstreaky structureshairpin vortexattached-eddy vortexstreamwise vortexwetting shock frontsshear flowviscositycapillaritykinematic waveslog-lawflow partitioning theorycharacteristic point locationvelocitydischargegroundwater inrushthe Luotuoshan coalminedamage mechanismkarst collapse columnporoacousticsRubin–Rosenau–Gottlieb theorysolitary waves and kinksNavier–Stokes equationstochastic Lagrangian flowsstochastic variational principlesstochastic geometric mechanicspotential fieldsClebsch variablesAiry’s stress functionGoursat functionsGalilean invariancevariational principlesboundary conditionsfilm flowsanalytical and numerical methodsvariational calculusdeterministic and stochastic approachesincompressible and compressible flowcontinuum hypothesisadvanced mathematical methodsHistory of engineering & technologyScholle Markusedt1325340Scholle MarkusothBOOK9910557112403321Physical and Mathematical Fluid Mechanics3036768UNINA