Three-hour time steps of GEOS reanalysis from MERRA-2 of three-dimensional ozone concentration, relative humidity, and Ertel's potential vorticity
on 16 April 2018 showed a filament of 66-78 ppbv of ozone coincident with low relative humidity and higher potential vorticity
extending from off the coast of the Carolinas northward into Maryland as of 1200 UTC at 600 hPa (Figs.
An international team of scientists, ledbyLaurent Gizon, co-principal investigator of the Center for Space Science at NYU Abu Dhabi (NYUAD), have discovered planetary waves of vorticity
on and inside the Sun similar to those that significantly influence weather on Earth.
, , , , where the pressure is eliminate from the Navier-Stokes equations for viscous, incompressible and ideal, compressible flow by introducing the stream function and vorticity
for the combustion process with simple exothermic chemical reaction.
Aerodynamic sound is generated as a result of the movement of vortices, or of vorticity
, in an unsteady fluid flow.
SLP biases were associated with anomalous flows in the simulated data, which were quantified through flow indices (flow strength, direction, and vorticity
) [23, 24].
The TRANS model uses the ratio between strain and vorticity
(S/[OMEGA]) as the spatial operator rather than the high derivative, which also allows the reproduction of unsteady content and makes SAS more intuitive, so the model is practical but without a clear physical mechanism between the eddy viscosity and resolved scales.
Therefore, undertaking the quaternionic dual-velocity and dual-enthalpy of dyonic cold plasma, we have made an attempt to formulate the quaternionic hydroelectric and hydromagnetic fields equations, which are an analogous to the generalized Lamb vector field and vorticity
field of conducting dyonic fluid.
(They are usually called the "criteria of regularity.") The assumptions concern various quantities, like the velocity or some of its components (see, e.g., [1-4]), the gradient of velocity or some of its components (see, e.g., [3, 5]), the vorticity
or only two of its components (see, e.g., [1, 6]), the direction of vorticity
(see [7, 8]), and the pressure (see, e.g., [9-11]).
where u and p are the fluid velocity and pressure, respectively; [omega] is the vorticity
; and Re is the Reynolds number.
We consider the velocity profile and vorticity
at the three peaks at 0.05, 0.25, and 0.75 time instants in the velocity profile of blood flow during rest, light exercise, and moderate exercise positions (Figure 10).