Search results
Results from the WOW.Com Content Network
One can distribute the divergence term on right hand side and use this definition of material derivative: ¯ ¯ + = ( ′ ′ ) This equation looks again like the Lagrangian equation that we started with, with the same caveats (i) and (ii) as in Eulerian case, and the definition of the mean-flow quantity also for the derivative operator. The ...
The divergence theorem is applied to the advection, pressure gradient, and diffusion terms. ∂ u i ∂ t V + ∬ A u i u j n j d A = − ∬ A P n i d A + ∬ A ν ∂ u i ∂ x j n j d A + f i V {\displaystyle {\frac {\partial u_{i}}{\partial t}}V+\iint _{A}u_{i}u_{j}n_{j}dA=-\iint _{A}Pn_{i}dA+\iint _{A}\nu {\frac {\partial u_{i}}{\partial x ...
is computed by first calculating a residual value ˙, resulting from spurious mass flux, then using this mass imbalance to get a new pressure value. The pressure value that is attempted to compute, is such that when plugged into momentum equations a divergence-free velocity field results. The mass imbalance is often also used for control of the ...
A high pressure-low temperature (HPLT) belt [42] [43] A low pressure-high temperature (LPHT) belt [42] [43] The HPLT metamorphic belt is located along subduction zones, and commonly associated with a clockwise P-T-t path. [42] [44] The HPLT condition is resulted from crustal thickening due to convergence meanwhile without being heated by magma ...
where ^ is a nonlinear integral operator which models the evolution of under interparticle collisions. This nonlinearity makes solving the full Boltzmann equation difficult, and motivates the development of approximate techniques such as the one provided by Chapman–Enskog theory.
Similarly, when a vortex of air is broadened, it in turn spins more slowly. When the air converges horizontally, the air speed increases to maintain potential vorticity, and the vertical extent increases to conserve mass. On the other hand, divergence causes the vortex to spread, slowing down the rate of spin.
A trough is an elongated region of relatively low atmospheric pressure without a closed isobaric contour that would define it as a low pressure area. Since low pressure implies a low height on a pressure surface, troughs and ridges refer to features in an identical sense as those on a topographic map. Troughs may be at the surface, or aloft, at ...
The value of gives the integrated meridional mass flux between the specified pressure level and the top of the Earth's atmosphere, with positive values indicating northward mass transport. [11] The strength of the Hadley cells can be quantified based on ψ {\displaystyle \psi } including the maximum and minimum values or averages of the stream ...