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The critical layer during transition of the spiral Poiseuille flow in an annular gap
Subject of this paper falls under the broad heading of the propagation of
disturbances causing transition in a fully developed spiral annular flow. The
problem is approached through reformulation of the linearised equations of
motion governing small-amplitude disturbances in a parameter space that differs
from that conventionally employed for this purpose. The alternative parameter
space comprises a suitably defined Reynolds number that is formed with a
resultant characteristic velocity which is a vector sum of the axial and
azimuthal characteristic velocities, a swirl parameter that is the ratio of the
azimuthal to the axial characteristic velocity, and the ratio of the annular
gap to the mean diameter of the cylinders. In the limits of the swirl parameter
assuming very small or very large values, the newly derived generalised
Orr-Sommerfeld and Squire equations for disturbance propagation in the revised
parameter space reduce to the corresponding equations that are known and well
established for the limiting cases of disturbance propagation as the swirl
parameter goes to zero or infinity respectively. Furthermore, they also lead
naturally to the criterion that determines from the equations themselves the
analytical expression for the location of the critical layer in spiral annular
flow, the scaling behaviour of the thickness of the critical layer with the
Reynolds number and the swirl parameter, and the equation governing the
dynamics of the flow in the critical layer. They thus explicitly reveal the
effect of swirl on the critical layer.Comment: 14 pages. The replacement is a continuation of the earlier submissio
Normal and anti Meyer-Neldel rule in conductivity of highly crystallized undoped microcrystalline silicon films
We have studied the electrical conductivity behavior of highly crystallized
undoped hydrogenated microcrystalline silicon films having different
microstructures. The dark conductivity is seen to follow Meyer Neldel rule
(MNR) in some films and anti MNR in others, which has been explained on the
basis of variation in the film microstructure and the corresponding changes in
the effective density of states distributions. A band tail transport and
statistical shift of Fermi level are used to explain the origin of MNR as well
as anti-MNR in our samples. The observation of MNR and anti MNR in electrical
transport behavior of microcrystalline silicon is discussed in terms of the
basic underlying physics of their origin and the significance of these
relationships.Comment: 5 pages, 1 figur
and bifurcations in rotational bands of diatomic molecules
It is shown that the recently observed bifurcation seen in
superdeformed nuclear bands is also occurring in rotational bands of diatomic
molecules. In addition, signs of a bifurcation, of the same order
of magnitude as the one, are observed both in superdeformed
nuclear bands and rotational bands of diatomic molecules.Comment: LaTex twice, 10 pages and 5 PS figures provided upon demand by the
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Pre-treatment loss to follow-up among smear-positive pulmonary tuberculosis cases: a 10-year audit of national data from Fiji
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