Meridional plane

Katsanis, T., Use of Arbitrary Quasi-Orthogonals for Calculations Flow Distribution in the Meridional Plane of a Turbomachine, NASA TND-2546, 1964. 

Giamati, C.C., and Finger, H.B., Design Velocity Distribution in Meridional Plane, NASA SP 36, Chapter VIII (1965), p. 255. 

Manson (Ref a) showed that transverse acoustic oscillations of the burned gas of the lowest permitted frequencies with none or one or two (fixed) nodal meridional planes agreed reasonably well with the observed frequencies. 

In this area, a unique nomenclature system has gradually developed where differing rings are assigned alphabetical letters. The E-ring contains the diamine backbone, and this effectively defines a meridional plane in the octahedron. Chelate rings within this plane are the G... 

Figure 2.10 Cylindrically symmetric hydrodynamical model of accretion flow with rotation during the early collapse phase, showing the inflow of matter in the meridional plane and the build-up of a flat rotating disk structure after about 1.05 free-fall times. Arrows indicate matter flow direction and velocity, gray lines indicate cuts of isodensity surfaces with meridional plane. Dark crosses outline locations of supersonic to subsonic transition of inflow velocity this corresponds to the position of the accretion shock. Matter falling along the polar axis and within the equatorial plane arrive within 1600 yr almost simultaneously, which results in an almost instantaneous formation of an extended initial accretion disk [new model calculation following the methods in Tscharnuter (1987), figure kindly contributed by W. M. Tscharnuter],...

An important feature of the Evans system is the insight provided into catalyst structure. The X-ray crystal structure of the [Sn(Ph-pybox)](OTf)2 complex displays the central Sn(II) atom in square pyramidal geometry. The three amino donors occupy a meridional position with the triflate counter ions trans -diaxially bound. These are slightly distorted away from the stereochemically relevant, Sn-centered lone pair that resides in the meridional plane. Electrospray ionization studies reveal that the cationic complex is readily generated by dissociation of the triflate counter ions, underscoring the kinetic lability of [Sn(Bn-box)](OTf)2 and [Sn(Ph-pybox)](OTf)2 towards ligand exchange, the sine qua non of a catalytic process. 

Tchem r( yil. Under these circumstances, the effect of dynamics can be quite large, and the species distribution depends critically on both dynamics and chemistry. Chemical processes tend to introduce or enhance spatial gradients in the distribution of the tracers, while dynamics (e.g., mixing) tends primarily to reduce these gradients. The time constants for meridional and vertical transport, are, for example, comparable to the photochemical lifetime of N20 in the stratosphere, so that transport in the meridional plane is expected to be quite important in determining its density, in contrast to zonal transports, as discussed above. 

In this special state the mutual energy of the electrons will have a stationary value. It is evident, on visualising the motion, that this will be the case only if the electrons are as far apart as possible at every instant, that is, if they are always in the same meridional plane passing through the axis of the angular momentum. 

The magnetic field is therefore located in meridional planes and has two components Hr and Hg. In particular, at points on the z-axis we have ... 

The speeifieation of a unit vector n uniquely determines the meridional plane of the propagation direction except when n is oriented along the positive or negative direction of the z axis. Although it may seem redundant to... 

This explains the usefulness of the modified Stokes representation of polarization given by Eq. (7.9) in situations involving linearly polarized light as follows. The modified Stokes vector has only one non-zero element and is equal to [/ 0 0 0] if = 7tl2 (the electric vector vibrates along the 0-axis, i.e., in the meridional plane) or [0/0 0] if = 0 (the electric vector vibrates along the (p -axis, i.e., in the plane perpendicular to the meridional plane), where T indicates the transpose of a matrix (see Fig. 8.1(c)). 

Computer programs that calculate simplified climate models based on versions of the conservation equations that have been averaged over longitude, with the effects of the synoptic eddies parameterized statistically in the meridional plane, stcric height... 

The oscillating wind regimes depicted schematically in Fig. 16 (and from observations in Figs. 10 and 11) are accompanied by secondary circulations in the meridional plane, and by temperature anomalies in balance with the adiabatic heating and cooling associated with the secondary circulations. The magnitude of these anomalies can be estimated because, even in the tropics, the zonal-mean zonal wind and temperature are in thermal wind balance. Near the equator, Eq. (13) can be written as follows ... 

In summaiy, the EP flux is a vector in the meridional plane whose components, in quasi-geostrophic theory, measure the zonally averaged northward eddy fluxes of momentum and temperature. Maps of the EP flux and its divergence may be prepared from observations or the results of model calculations. Such maps may be used to infer where and to what extent the eddy motions are acting to change the mean flow and where transient, nonconservative eddy motions are present. 

Figure 8.3c shows a cross-section view of the shell element obtained from a cut along the meridional plane. The normal to the surface of the shell element cuts the z-axis at the point O and f2 is defined as the corresponding radius. The centre... 

Schematic representation of the stress field in a cross-section view of the SPIF process by a meridional plane the detail of the Instantaneous plastically deforming region BC Illustrates thinning at the corner radius...

Fig. 7.6. Componenti of forces in merielional and drcufnferentlol planes. o) Components of forces in o meridional plane, lb) Components of forces in a circumferential plane, (c) Normal component of -forces from a circumferential plane.. ... 

S is called the static moment and is obtained by graphical integration along the meridional plane of the vanes. In the special case of a cylindrical vane... 

Static moment, obtained by graphical integration aiong the meridional plane of the vanes... 

---