Abstract
The paper describes a new theory
of the formation
and growth of water droplets in multistage steam turbines. The essence
of the theory is that large-scale static temperature fluctuations
caused
by the segmentation of blade wakes by successive blade rows have a
dominating
influence on nucleation and droplet growth on turbines. 'True'
turbulent
fluctuations (due to shear-layer unsteadiness, etc.) are probably less
important and are ignored. A Lagrangian frame of reference is adopted
and
attention is focused on a large number of individual fluid particles
during
their passage through the turbine. Homogenous nucleation and growth of
droplets in each fluid particle is assumed to be governed by classical
theories. All fluid particles are assumed to experience the same
pressure
variation, but those particles passing close the the blade surfaces
suffer
greater entropy production and, therefore, have higher static
temperatures
than those that pursue nearly isentropic paths through the central
portions
of the blade passages. Particles which suffer high loss therefore
nucleate
later in the turbine than those that experience little dissipation.
Condensation
is thus viewed as an essentially random and unsteady phenomenon because
the dissipation experienced by a fluid particle in one blade row is
assumed
to be uncorrelated with its previous history. On a time-averaged basis,
the condensation zone is spread over a much greater distance in the
flow
direction than a simple steady-flow analysis would indicate and may
encompass
several blade rows, depending on the number of stages in the machine.
Predicted
droplet size spectra show broad, highly skewed distributions with large
mean diameters and sometimes slight bimodality. These are all
characteristics
of experimentally measured spectra in real turbines. Conventional,
steady-flow
calculation methods, which predict a fixed Wilson point in a specific
blade
row and a nearly monodispersed droplet population, cannot reproduce any
of these characteristics.
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