ALGOR HEAT TRANSFER ANALYSIS SOFTWARE AIDS IN DESIGN OF TURF
CONDITIONING SYSTEM TO KEEP THE CLEVELAND BROWNS FIELD GREEN
||The new Cleveland Browns stadium, which just saw the completion of its first
football season, hosted games late into December with the aid of a turf conditioning
system developed and installed by REHAU, Inc. North America. The system enables healthy,
green turf to grow long after the normal growing season ends by distributing heated fluid
through an underground piping network. The heat radiates through the soil to keep the
grass root zone at a constant temperature, preventing the turf from freezing even in
chilly lake-effect weather. The above picture shows the exposed piping network on a bed of
gravel, before the turf was installed.
Rising 12 stories above Lake Erie, the state-of-the-art Cleveland Browns stadium boasts
some impressive statistics, including 72,500 seats, 148 luxury boxes, 103 permanent and
portable concessions stands, 948 toilets and 11.65 miles of plumbing pipe. Also at the top
of the notable list is a turf conditioning system consisting of more than 40 miles of PEX
pipe installed beneath a 75-yard by 115-yard playing field of natural, fully irrigated
turf. Designed and installed by Virginia-based REHAU, Inc. North America (REHAU), the turf
conditioning system enables healthy, green turf to grow long after the normal growing
season ends, which is important to playing year-round outdoor football in Cleveland.
Rehaus turf conditioning systems distribute heated fluid from a series of boilers
through an underground piping network. The heat radiates through the soil to keep the
grass root zone at a constant temperature, preventing the field from freezing even in
chilly lake-effect weather. Without the system, the field would deaden late in the
football season, resulting in severe damage since the turf would be unable to repair
itself after the wear and tear of a Sunday afternoon game.
REHAU engineers used heat transfer analysis software from Pittsburgh-based ALGOR, Inc.
to determine the amount of energy required to run the system and optimize overall system
performance under varying environmental conditions. In addition, replays of ALGOR
transient heat transfer analysis results provided stadium developers with a visual
explanation of how REHAUs existing turf conditioning technology would work at the
||Workers installed more than 40 miles of a cross-linked polyethylene pipe called
RAUPEX, a pipe developed by REHAU that exhibits superior strength and flexibility. REHAU
engineers used steady-state heat transfer analysis software from ALGOR, Inc. to determine
the spacing needed between the pipe as well as the fluid temperature required to heat the
turf root zone.
Existing Design Technology, New Analysis Methodology
While ALGOR was new to the design of the Cleveland turf conditioning system, the
technology used to build the system has been tried and tested for over 25 years, according
to Product Manager Patrick Sauer.
"The Cleveland turf conditioning system uses RAUPEXÒ
piping, which is made of high-density cross-linked polyethylene," Sauer explains.
"Individual polyethylene molecular chains are linked into a 3-D network under high
temperature and pressure to provide superior strength and flexibility."
REHAUs cross-linking process, developed by German scientist Thomas Engel and
licensed by REHAU in 1967, significantly enhances the temperature resistance, long-term
strength, impact strength, creep resistance and elastic behavior of the polyethylene. The
Cleveland turf conditioning system is a closed-circuit system that uses RAUPEX piping with
a ¾ inch diameter arranged in rows beneath the surface of the playing field, end zones
and sidelines. The piping segments are connected at approximately 2000 circuit locations
using REHAUs patented EVERLOCÒ fitting system. As fluid
circulates from the boilers, it flows through several large headers, which then branch off
into smaller circuits to uniformly heat about 96,000 square feet of surface area. The
system is divided into four rectangular sections that can be independently controlled so
that if part of the field is shaded, for example, it can be heated without overheating the
other areas of the field.
System designers used ALGORs steady-state heat transfer analysis software to
optimize the pipe spacing to ensure uniform heating. If pipes are placed too far apart,
brown strips of grass may appear on the field surface where the grass root zone is not
The flow of fluid through RAUPEX pipe causes it to expand. The molecular structure of
RAUPEX piping enables it to compress to its original shape after expansion, causing
significant loading on fittings that connect individual piping segments. According to
Sauer, the EVERLOC fitting system takes advantage of the pipes compressive
"The pipe is expanded over an EVERLOC insert to provide maximum strength without
reducing the inside diameter of the pipe," says Sauer. "Then a sleeve is pressed
onto the fitting to ensure the integrity of the connection. This fitting system enabled us
to design the conditioning system without worrying about the accessibility of the joints
||The pipe network lies on a bed of gravel, as shown in this cross section, to
enable drainage away from the pipe. High levels of moisture in the soil can cause
increased thermal conductivity, which results in the rapid loss of heat. Soil composition
affects how well soil retains moisture. REHAU engineers considered both composition and
moisture level when specifying material properties for the ALGOR steady-state and
transient heat transfer analyses.
The pipe network lies on a bed of gravel beneath a sandy soil mixture. The composition
and moisture level of the soil can affect the conductivity of heat from the pipes through
the soil to the root zone inches above. Sandy loam releases fluid at a faster rate than
dense clay soil, while wet soil releases more energy in the form of heat into the air than
dry soil does, causing faster decreases in field temperature. On the other hand, drier
soil releases less heat from the field, but requires longer periods of time to heat the
root zone. According to Sauer, the herringbone construction of the gravel drainage system
beneath the pipe network helps to prevent downward heat loss, optimizing the amount of
heat that reaches the root zone above.
REHAU engineers also needed to consider external variables, including weather
conditions and the length of the grass, in the ALGOR heat transfer analyses. The wind
speed, which helps to determine the heat transfer coefficient in the analysis
calculations, and the ambient temperature will affect the rate of heat loss from the
surface. In addition, longer grass will retain more energy than will shorter grass.
According to Project Analyst Scott Posey, these varying factors required new
considerations when performing the heat transfer analyses.
"This application was different from other heat transfer analyses Ive
performed. In this case, the heat is transferred to another substance entirely, not just
across a uniform surface having one material type," says Posey. "The heat
transfer analyses also helped us to better understand how external environmental
conditions can affect thermal conductivity."
Based on the steady-state results, Posey also developed transient heat transfer
analyses to determine how the system would respond to changes in external environmental
conditions over time.
Steady-State Analyses Help Determine Energy Requirements
To be awarded the Cleveland turf conditioning system contract, REHAU needed to
demonstrate both installation and operational costs, including the quantities of pipe
needed, energy required to operate the system (which determines the number of boilers
needed) and the temperature at which a tarp would be required to protect the field. The
required fluid temperature within the system was the key to determining all of these
Posey started with a steady-state heat transfer analysis to find the optimal fluid
temperature needed to keep the root zone at 72° F when the
ambient temperature is 5° F, the criteria specified by the
stadium developers. He created a 2-D isotropic model of a typical cross section, which
consisted of two parallel pipes within layers of gravel, soil and turf, using Superdraw
III, ALGORs single user interface for FEA and precision finite element
model-building tool. Posey used hand-meshing techniques to make a uniform mesh across the
model and then refined the mesh around the pipes.
Once he had built the model, Posey used individual groups with representative colors
(i.e., group 8, identified as gray, was used for gravel) to specify the different material
properties for gravel, turf, soil and polyethylene. The 1993 Ashrae Fundamentals Handbook
provided material properties for gravel and turf, including convection coefficients for
turf under varying wind speeds and at no wind speed, which Posey used in this case. In
addition, Posey used the Ashrae handbook to find the appropriate material properties for
"We consulted with the field contractor to determine the approximate soil
composition and moisture level to use in the analysis and then sourced the handbook to get
the properties," says Posey. "We assumed a conservative moisture level of 42
percent to ensure the system would be effective through highly conductive soil."
The material properties for polyethylene were taken from REHAUs past extensive
materials research and testing. Using Algors Material Library Manager, Posey added
the material properties to a customized library so the properties will be available for
Finally, Posey added a temperature boundary of 58° F, the
ground temperature at that depth, to the bottom edge of the model and a temperature
boundary of 128° F at the internal circumference of the pipes.
According to Posey, he chose a temperature of 128° F based on
Sauers extensive design experience with previous conditioning systems. In addition,
the maximum allowable temperature for RAUPEX piping is 140° F.
|The steady-state heat transfer analysis results showed that an optimal fluid
temperature of 128° F is needed to maintain a root zone temperature of 72° F when the
ambient temperature is 5° F with no wind. REHAU engineers used these results to determine
how much energy would be required to operate the turf conditioning system.
With Sauers knowledge of the systems as a guide, Posey conducted about five
analysis iterations, in which he varied the fluid temperature and pipe spacing, to verify
the optimal pipe spacing and fluid temperature needed to properly heat the field surface
area. Posey found ALGORs total flow option, which automatically calculates heat flow
over a surface, to be especially useful in determining the conditioning systems
"In the past, I have manually calculated the total heat flow by averaging heat
flux values at individual nodes. This is a linear approach to an often nonlinear
problem," says Posey. "With the total flow calculation, the software saves me
time by automatically calculating these values and it provides a more accurate
Posey examined the temperature distribution and heat flux results using ALGORs
built-in visualization capabilities and determined that a fluid temperature of 128° F would sustain the minimum root zone temperature. Factoring in
this temperature value, Sauer and Posey calculated the energy required to operate the
system in BTUs per hour per square foot. The calculation indicated that the Cleveland turf
conditioning system would require a maximum of nine boilers under severe conditions;
however, the engineers estimated that half that number would be needed under normal
The need to regulate the number of boilers in use and to adjust the fluid temperature
to accommodate environmental changes led Posey to explore how quickly the system could
respond to falling air temperatures. He was able to do this using ALGORs transient
heat transfer analysis software.
Transient Analyses Yield More Than Just Results
Using the same model geometry and material properties, Posey set up the transient heat
transfer analysis to simulate a drop in ambient temperature, similar to what would occur
over the course of a sunset, and a corresponding rise in fluid temperature to keep the
root zone at a constant 72° F. He adjusted the temperature
boundary conditions, defined load curves and specified the duration of the event for the
||ALGORs transient heat transfer analysis software was used to simulate a drop
in ambient temperature, similar to what would occur over the course of a sunset, and a
corresponding rise in fluid temperature to keep the root zone at a constant 72° F. REHAU
engineers specified two load curves in Superdraw III, ALGORs single interface for
FEA and precision finite-element model building tool. The plots helped the engineers to
ensure their data was correct before performing the analysis.
Posey first ran a steady-state heat transfer analysis to determine the fluid
temperature needed (105° F) to maintain the root zone
temperature with an ambient temperature of 35° F. Then for the
transient heat transfer analysis, he set the duration of the event. Posey specified 384
timesteps (or every 15 minutes for four days) and then defined a capture rate of one, so
that he could review the results for each timestep. Posey also redefined the applied
temperature boundaries at the inside pipe circumference to correspond with the first load
curve, which described changes in the system fluid temperature. Then he placed temperature
boundaries at the top of the model (at the turf surface) to correspond with the second
load curve, which described the changes in ambient temperatures.
The first load curve caused the system fluid temperature to ramp up to the previously
analyzed temperature of 105° F and then establish a
steady-state situation. Then Posey increased the temperature again to 128° F to correspond with the second load curve, which simulates a drop
in ambient temperature from 35° F to 5°
F over a period of about three hours. Posey ran several analysis iterations to determine
when and how much to increase the fluid temperature as the ambient temperature drops.
"The load curve plots displayed in Superdraws data entry screens let me
visualize load curve data and ensure that it was correct before running the
analysis," says Posey. "Conducting the transient analyses required a lot of
trial and error on my part," continues Posey, who had no prior experience with this
analysis type. "I was able to successfully perform the analyses with the help of the
documentation provided through ALGORs DocuTech system."
||Using ALGORs Monitor utility, the engineers superimposed temperature changes
vs. time plots for the fluid, soil, root zone and turf, which were determined in the
transient heat transfer analysis. The engineers concluded that the system fluid
temperature should be increased slightly before the anticipated drop in ambient
temperature to keep the root zone temperature constant.
The REHAU engineers used ALGORs Monitor utility to superimpose temperature
changes vs. time plots for the fluid, soil, root zone and turf. Having all of the data on
one screen, Posey was able to conclude that the system fluid temperature should be
increased slightly before the anticipated drop in ambient temperature to keep the root
zone temperature constant. Posey also generated analysis replays in AVI format to animate
the changes in temperature distribution over time.
"ALGORs bitmap to AVI converter enabled me to add in text at important
points throughout the event. This helped to explain what happens in the analysis to others
who may not be familiar with our turf conditioning systems or finite element
analysis," Posey says.
ALGORs transient heat transfer analysis software illustrated system performance
under falling environmental temperatures, showing that the system is capable of adjusting
to changing conditions without dramatic temperature changes at the root zone. The
transient heat transfer analysis also verified the performance capabilities for an
automatically controlled heating system. In addition, replays of the transient results
provided an invaluable visual tool that aided REHAU in earning the Cleveland turf
conditioning system contract, according to Sauer.
||Analysis replays of the ALGOR transient heat transfer analysis show the
temperature distribution throughout the cross section of the system. The first temperature
plot (left) shows a steady-state situation, in which the fluid temperature is at 105° F,
the temperature needed for a constant root zone of 72° F with an ambient temperature of
35° F. The second plot (center) shows the fluid system temperature increasing as the
ambient temperature decreases. The third plot (right) indicates a fluid temperature of
128° F with an ambient temperature of 5° F.
"While the technology used in the Cleveland system is not new for REHAU, the use
of ALGOR heat transfer analysis software was new," Sauer said. "Being able to
illustrate how the system works using analysis replays was an important factor in the
contract discussions for the Cleveland project. The analysis replays also have been an
integral part in securing additional contracts with other NFL stadiums."
REHAU is already planning future transient heat transfer analyses using ALGOR. The
engineers plan to study how the turf conditioning systems can be used as cooling
mechanisms to keep turf from scorching during the humid summer months or in year-round hot
climates. REHAU is currently developing turf conditioning systems for other NFL teams.