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This article was prepared by staff writers in collaboration with outside contributors.
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When engineers at BES Engineering, a unit of
The Bergaila Companies, tackled their latest design analysis and verification
of a refinery expansion project, time was of the essence. Looking at California's
electricity problems and sharply rising gasoline and oil prices, owners
wanted construction to get under way as soon as possible.
Nevertheless, the refinery owners and contractors were unwilling to rush
into construction. They did not want any mistakes, especially ones that
might not show up for years. So they asked BES in Houston to review the
design for a variety of potential stress and thermal problems. To the
refinery's designers and owners, it was the little things that counted.
As the analysis got under way in the first quarter of 2001, some of those
little things turned out to have a big impact on the project. For example,
the BES engineers had to:
Transform the refinery drawings and models from the "local"
system of coordinates typically used in piping design systems to conventional
CAD-type coordinates. Doing this more or less automatically let BES get
started as much as two weeks sooner on the modeling, finite-element mesh
generation, and analysis.
Use their geometry for multiple analyses on one portion or another of
a very large model, one with 120,000 nodes and 700,000 degrees of freedom.
Use a variety of solvers for their analyses. The model was too big to
run on all but the speediest and most powerful workstations using frontal-type
conventional finite-element analysis solvers. Instead, they used a preconditioned
conjugate gradient solver.
Because they had the skills and software to do these things, BES was able
to meet tight deadlines for the new petroleum refinery unit being built
in North Salt Lake City, Utah.
The project was the Flying J Inc. Millisecond Catalytic Cracking (MSCC)
unit, a 10,000-barrel-per-day facility. This process unit required a regenerator
vessel that was designed and built by Mark Steel Corp., a Salt Lake City
custom steel fabricator. Mark Steel subcontracted the engineering analysis
and drafting of the regenerator pressure vessels and related components
to BES Engineering.
BES Engineering used the Structural module of Ansys Mechanical software,
a leading design analysis and verification package from Ansys Inc. of
Canonsburg, Pa.
The analysis-linear elastic-focused on the cracker's regenerator, a slender,
refractory lined vertical, cylindrical pressure vessel with a hemispherical
head at the top and a cone with four outlet nozzles pointing sharply downward
at the bottom. The cone section analyzed was about 11.5 feet in diameter
at the bottom and 17 feet at the top. The overall vessel length is about
94 feet. The largest outlet is 72 inches in diameter, while others range
from 42 inches to 2 inches in diameter. The specified pressure vessel
material was carbon steel ranging from 0.75 inch to 1.75 inches thick.
One of the meshing challenges was that the nozzles pointed downward at
an included angle of about 160 degrees. Because of the sharp downward
angle, the regenerator openings that accommodated the nozzles were elongated
ovals, their vertical dimensions much longer than the horizontal.
"The large included angle made the openings very large relative to
the pipe diameter," said Dana E. Petroni. He and other BES design
analysts built the models and ran the analyses. "Most analysis packages
have trouble producing good results with a nozzle fitted to an oval hole
if the long dimension is more than twice the short one," Petroni
said.
Adding to the analysis challenges is the refinery's site in a moderately
active seismic area defined as Zone 3 by the American Society of Civil
Engineers; California is Zone 4.
"Without all these things, this would have been a fairly simple problem,"
Petroni observed. "As it turned out, we spent two and a half man-months
on the analyses with Ansys." The job included making design calculations
and writing a detailed, illustrated report.
"We had to build six or seven smaller models, including one with
special mitered nozzles for the main inlets and outlets," Petroni
noted. The analyses indicated that two design changes were needed. They
were:
The junction of the regenerator's transition cone/catalyst cooler nozzle,
should there be catalyst cooler slump combined with a seismic tremor.
The analyses predicted excessive stress and excessive radial displacement;
this could be remedied by increasing the thickness of the junction's steel.
The carbon steel knuckle joining the regenerator shell/cone to the combustor
riser cone would see too much heat from the steady-state operating temperature
of 1,000°F. Suggested remedies included a material change, a fatigue
evaluation, and redesigning the junction's attachment details.
The main model-comprising the regenerator cone, the four attached nozzles,
and the openings-was built with 40,000 elements. When completed, the model
had 120,000 nodes and approximately 700,000 degrees of freedom.
"Because of its complexity, that one model let us take care of four
analyses-and each of those had five load cases," Petroni said. "If
we'd had to build additional models, it would have taken as much as two
weeks longer."
The analyses were for thermal stress, mechanical stress, local distortion
of shell-nozzle junctions, and/or temperature profile. The four analyses
on the big model were done on the transition cone junctions for three
standpipes (catalyst regenerator, catalyst recirculator, and the hot stripper)
plus the catalyst cooler.
"Using the normal frontal solver, nearly 40 gigabytes of storage
space would have been required," Petroni said. He used an Ansys preconditioned
conjugate gradient, or PCG, solver.
PCG solvers are iterative; that is, the results of each time-step analysis
in the solution become the initial conditions for the next step.
Typical time to solve these analyses was about 12 hours per load step,
Petroni said. His group used custom-built PCs running dual 350-megahertz
Intel Corp. Pentium II processors. The machines have 256 megabits of RAM.
An upgraded, custom-built PC running on dual 500 Mhz Pentium IIIs (with
390 MB of RAM, a 64 MB video card, and a 17 gigabyte disc drive) is used
solely to run models, so BES engineers can continue working on other projects.
On these machines, runs were done in three hours per load step.
Three other sections of the regenerator shell were analyzed, using models
ranging from about 70,000 nodes down to 48,000. These models had 420,000
and 288,000 degrees of freedom, respectively. These were for the regenerator
junctions with the catalyst/air inlet to the elliptical head, flue gas
outlet and plenum at the hemispherical head, regenerator combustor riser
cone, recirculation catalyst standpipe, and two manway access openings.
The structural stress analysis loads included dead weight, design pressure,
operating pressure, catalyst slump (partial blockage of the piping), piping
load, seismic load, and thermal gradient. The piping loads include effects
of normal operation (temperature, pressure, and weight), catalyst slump,
expansion joint pressure thrust during design and blast conditions, and
seismic acceleration loading (potential earthquakes).
These individual loads were combined to produce and determine governing
load cases. Not all loads and load cases were considered in every analysis.
All of the regenerator is lined with 5 inches of refractory material.
"This was not modeled because its stiffness was not a factor in the
structure," Petroni noted. However, it was factored into the load
cases as a deadweight factor for displacement or gravity loads and for
its relatively high sensitivity to thermal expansion.
The two thermal analyses used steady-state heat transfer data, taking
into account convection on the outside surface of the pressure vessel
and a process temperature applied to the internal wetted surface. Petroni
used forced convection to determine the thermal gradient that governs
the thermal stress analysis.
Free or natural convection was used to determine the thermal profile that,
in turn, limits the maximum operating temperature of the pressure vessel's
carbon steel. The structure was designed to the American Society of Mechanical
Engineers' Pressure Vessel Code.
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