where j refers to the ground slice, i refers to the annular region
under calculation, (i - 1) and (i + 1) refer to the adjacent annular regions
, C is the thermal capacitance, R is the thermal resistance between two adjacent annular regions
, T is the current mean temperature, and [T.sub.-[DELTA][tau]] is the mean temperature at the previous time step.
We consider the fully developed, steady laminar free convective heat and mass transfer flow of an incompressible, viscous, chemically reacting fluid through a porous medium in an annular region
between two vertical co-axial circular pipes in the presence of constant heat source in the fluid region.
Throughfall varied markedly from 28% of rainfall in annular region
1, about 1.1m from the centre of the trunk, to about 100% in regions 4 and 5, situated between 3.7 and 4.6 m from the trunk.
Tracer gas, together with solid particles, is entrained by the feed jets from the downward flowing annular region
into the upward flowing core region.
Initially the denser annular region
extends out from the wall a short distance at the right of the circular image, but then recedes to form a more-or-less uniform annulus around the perimeter.
The drilling mud left in the annular region
between the pipe and borehole will solidify and provide support for the pipe and surrounding soil.
The annular region
is essentially a pair of concentric cylinders.
In our signature recognition system, the pixel data is extracted from the annular regions
of the signature images.