Abs t r ac t . Recent developments concerning the connection between notions of hydrodynamic stability usually associated with stationary laminar flows-and dynamics, most notably turbulent fluid flows, are reviewed. Based on a technical device originally introduced by Hopf in 1941, a rigorous mathematical relationship between criteria for nonlinear energy stability and bounds on global t ranspo...

We present the first spontaneous sequence of hydrodynamic instabilities due to the evolution of the convective flow from the rest state toward chaos in an anisotropic fluid : a nematic liquid crystal subjected to an AC electric field. The resulting structures are of decreasing symmetry as the control parameter is gradually increased. The study of the streamlines allows the interpretation of the...

We derive the incompressible Euler equations with heat convection no-penetration boundary condition from Boltzmann equation diffuse in hydrodynamic limit for scale of large Reynold number. Inspired by recent framework [30], we consider Navier-Stokes-Fourier system no-slip conditions as an intermediary approximation and develop a Hilbert-type expansion around global Maxwellian that allows nontri...

Industrial development has significantly increased the concentration of CO2 in atmosphere, resulting greenhouse effect that harms global climate and human health. sequestration saline aquifers is considered to be one efficient ways eliminate atmospheric levels. As an important mechanism, solubility trapping greatly determines efficiency aquifers, this depends, turn, on density-driven convection...

The transport phenomena of [Formula: see text] type reactive miscible front undergoing radial displacement in a porous medium are numerically investigated. For stable when the viscosity fluids A, B, and C is same, dependence various reaction characteristics on Damköhler number ( Da) analyzed. total rate found to be non-monotonic function time depending upon Da, while amount product follows temp...

Turbulent flows have complex structures due to its nature and its’ analyses are hard either by numerical or experimental means. Hydrodynamic development of turbulent flow is also complex. In this study, velocity distribution in hydrodynamic entrance length pipes investigated depending on axial radial locations. Literature was surveyed for a single empirical expression that provides profile dire...

in coastal areas, hydrodynamic factors make changes in shorelines geomorphology. this can affect coastal facilities and cause hazards to human societies in the areas. this study has investigated the influence of wave and tide properties on khamir port, hormoz strait in coast of persian gulf. the purpose of the study is to make a mathematical regional and local modeling of water level fluctuatio...

New 2-phenylpyridazinones, analogs o f 4-chloro-5-methylamino-2-phenylpyridazin-3(2H)ones, were assayed for their phytotoxic activity to interfere with plant pigment formation. Six derivatives with — SCF3, — OCF2CH FCF3, — O CH F2, — CN, or — Br in meta position o f the phenyl ring exhibited similar or better bleaching activity than the m -CF3 analog (norflurazon). The activity is predominantly...

The present work is a numerical analysis of electro-thermo convection, occurring in square differentially heated cavity filled with dielectric fluid. experiences the combined effects viscous, electrical, and thermal forces. equations modelling physical problem are solved via finite volume approach. study focuses on effect tilt fluid flow structure performance inside enclosure under action an el...