Irrotational,rotational,solenoidal vecter field
No, for example (-yi +xj)/(x^2 + y^2) is irrotational but not conservative on the domain {(x,y}|x^2 + y^2 > 0}.
The ridge creates negative curvature vorticity which is conducive to the development of high pressure just downstream. This anticyclone then transports air meridionally around the return flow.
Irrotational fields are conservative, simply connected (path independent), and have no curl (del cross the field) = 0Rotational fields are orthogonal MTM=I, symmetrical, representable in any finite dimension through orthogonal matrix multiplication
John Kim has written: 'Propagation velocity and space-time correlation of perturbations in turbulent channel flow' -- subject(s): Turbulence 'The structure of the vorticity field in turbulent channel flow' -- subject(s): Turbulent boundary layer
The ratio of vorticity to mass density.
The vorticity vector is DelxV = v/r sin(RV)H1, the Curl of the vector V. The unit vector H1, is perpendicular to the plane formed by the radius vector R and and the vector V.
Speed, direction, average temperature, steadiness of direction, vorticity.
J. W. Naughton has written: 'Experiments on the enhancement of compressible mixing via streamwise vorticity. Part l - Optical measurements' -- subject(s): Vorticity, Turbulent mixing
Currents flowing on the western side of ocean basins are intensified when compared with the currents flowing on the eastern side of ocean basins. Intensified currents are those that are narrow, extend to great depth and are fast. The largest and most prominent of such currents is the Gulf Stream in the North Atlantic Ocean, but similar currents also flow in the North Pacific Ocean (the Kuroshio Current), the South Atlantic Ocean (the Brazil Current), the Indian Ocean (the Agulhas Current) and the South Pacific (the East Australian Current). The volume transport of the largest of these currents - the Gulf Stream - is about 55 million cubic meters per sec (or 55 sverdrups [sv] ). The reasons for the westward intensification are complex, but can be explained if we balance the three vorticities (induced rotational factors that change the direction of the flow of water) on each side of the basin. Those vorticities and their direction of rotation are:1) Wind Stress - Trade Winds and Prevailing Westerlies create a clockwise (CW) vorticity that is equal on both sides of the basin.2) Frictional - The eastern & western boundaries of the basin both induce a weak counter-clockwise (CCW) frictional vorticity (set up as a resistance to the flow of water) that is also equal on both sides of the basin.3) Coriolis effect (CE) - The Coriolis effect, because it increases with latitude, creates a different vorticity on the two sides of the basin. On the western side, the northward flowing current is subject to an increasing CE deflection, which induces a CW vorticity, while on the eastern side, the southward flowing current is subject to a decreasing CE deflection, which induces a CCW vorticity. Note, therefore, that the CE rotational directions are opposite on the two sides of the basin.The fact that the vorticity due to CE is opposite on the two sides of the basin makes balancing the three vorticities difficult, but it can be shown that the only way to achieve this balance is to intensify the current in the western side of the ocean basin (i.e., a Westward Intensification of the current).This imbalance of CE results in a stronger eastward flow of water at the top of the subtropical gyre and a broad equatorward flow over most of the eastern side of the ocean basin.This eastern boundary flow is consistent with observations in the North Atlantic, where the Canary Current off Africa is broad, slow and shallow, just the opposite of the characteristics of the Gulf Stream, which is very narrow, swift, and extends very deep.
Values, Velocity, Vorticity, Voracity.
If you are referring to the formation of a mesocyclone, this occurs when the horizontal vorticity meets the updraft. The updraft helps lift the vorticity upwards and in the process tilts the axis from horizontal to vertical.