5.22 CHAPTER FIVE
became stuck and unable to rotate in a coal slurry application. This caused a slurry
impingement on a concentrated region of the ball.
The particle velocity and impingement angle are design factors that can be used to mit-
igate erosion in pumps.The challenge in the coal liquefaction program investigated by the
Department of Energy in the 1970s was to develop a high-speed pump for handling coal-
oil slurries.
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This was attempted because traditional slurry pumps are usually large, slow-
moving machines that increased the capital and operating costs of pilot plants built during
that era. Most of the slurry pump industry utilizes large, slow-moving, single-stage pumps
to address the solid particle erosion problem. Many of these pumps are rubber-lined to
absorb the particle’s impingement energy.
Erosion damage, once identified, has a limited number of solutions to prolong the
longevity of pump materials. This can be accomplished by the selection of hard, wear-
resistant replaceable liners, elastomeric liners, or, in cases where liners cannot be utilized,
hard materials. Such metallic materials include white cast iron (such as Ni-Hard), high
chromium (13 to 28 percent) alloy steels, cobalt-based super alloys (such as Stellite), and
nickel-based alloys.
FATIGUE ____________________________________________________________
Centrifugal and reciprocating pumps are subjected to cyclical loading, which, if not con-
sidered during design, will result in a limited life due to material fatigue. In combination
with a corrosive environment, material fatigue can be accelerated due to what is com-
monly referred to as environmentally assisted fatigue.
The one essential parameter in component fatigue is the presence of an alternating or
cyclic load. In general, pumps are machines that have either fluid or mechanically induced
cyclic loading on their components. Although centrifugal pumps are for the most part
steady-state rotational equipment, pulsations or fluctuating applied stresses are encoun-
tered. The source of these cyclic stresses can be from fluid interaction between impeller
exit vanes and diffuser vanes or, in a volute pump, the impeller vanes and the casing cut-
water. Mechanically induced forces are due to bending moments acting on the pump shaft
or possibly a component imbalance in the rotor assembly. Reciprocating pumps experience
a cyclic loading of the internal and external components from the action of the machinery.
In fact, these pumps can be thought of as large fatigue-testing machines due to the pul-
sating action of the pumping process.
When cyclic forces are applied to materials in a pump over a period of time, a crack may
initiate at the component’s surface. After initiation, the crack will grow with continued
cyclic loading until the part finally fractures. Fractures can occur, even though the loading
produces stresses that are far less than the tensile strength of the material. Engineers
have been aware of this potential mode of component fracture for many years and have
developed design criteria that take this anomaly into account. The study of cyclic loading
and material behavior based upon cyclic stress history and flaw size is beyond the scope
of this text. It should be noted, however, that the field of fracture mechanics offers an engi-
neering design tool that can predict the life of an engineered component.
Fatigue is a three-stage process consisting of (1) crack initiation, sometimes associated
with preexisting defects, (2) crack propagation, and (3) the final fracture, associated with
crack instability, as suggested by Wohler.
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The applied stress level, sample geometry, flaw
size, and mechanical properties determine the existence and extent of these stages.
Fatigue was first studied by August Wohler in 1852.
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Wohler’s work included the con-
cept of alternating applied stress, S, and the number of cycles, N, applied to a sample until
a fracture occurs. This work is the basis for today’s S/N curves used by design engineers.
A laboratory-generated S/N curve is shown in Figure 15. This curve was generated by
smooth, rotating-beam test specimens. These specimens are machined carefully to avoid
metallurgical notches on their surfaces that would lower the applied stresses required to
produce a failure during testing.
When a corrosive media is introduced, many crack initiation sites are produced. The
lower curve shows the resulting drop in the endurance limit. Since corrosion over time can