Compressor Flow Maps and Calculations

Draenor

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How to Read a Compressor Map

I have plans to build a engine and turboing it for a car I have. I see that the turbo intrest is peaking up a bit. I thought this info should benefit other members who iare intrested on building a turbo'd engine. There is alot or research and planning to do, than just picking out any turbo and slapping it on a car or truck. Once you get the hang of what is mentioned below, I go to the manufactures web site, Turbonetics, Garrett, etc. and print out a map of a turbo that looks decent. I'll get ruler and start graphing the effeciency area and see if it fits my needs. Granted there will be several turbos that might fall into the sweet spot that you want. The down fall is that some, may not produce the boost down low on the RPM band while other do.

..As I said earlier lots of planning to do.

I have several other reads and calculators to post up in another thread.

Enjoy peeps....:thumbs:

Calculating The Efficiency And Tuning Window Of A Turbo

When it comes to building boost, compressor wheel selection is the make-or-break decision facing the pressure-craving enthusiast. Too often ego enters the equation and when starry-eyed enthusiasts run big wheels, performance is the loser.

First, you need to be logical and realistic. Second, you need a compressor map to get a ballpark idea of what wheel will best fit your application.

A compressor map is a snapshot of the wheel's efficiency laid out on an X-Y axis graph. Let's break down a map by the numbers and plug in some hypothetical applications. Going into this process you need to first know how much power you intend to make and have an idea of how much boost you expect to run. The mechanical limitations of your engine and its displacement would be deciding factors in these estimates.


1)Pressure Ratio
The pressure ratio along the X-axis represents the boost you intend to run. The numeric pressure ratio value is calculated by taking the expected psi, adding one atmosphere (14.7) and dividing that number by one atmosphere (14.7).

2) Airflow
The Y-axis represents airflow in pounds per minute. As a general rule, each pound of air generated represents 10 hp. We are talking flywheel horsepower, so if you, like myself, think in "wheel time," make allowances for driveline losses. It is along this line where you estimate engine power output.

3) Efficiency Island
Not fantasy island, so be real here. This is the bull's-eye of efficiency. The center island is where the turbo is at its peak efficiency.

4) Wheel Efficiency
The outer rings of the graph represent reduced efficiency. The numbers and how much they drop off varies from compressor wheel to compressor wheel as does the corresponding loss of power potential.

5) Surge Limit
Any points plotted to the left of the Surge Line indicate the wheel in question is too big for the expected boost and power output. There would not be enough exhaust flow energy to spin the wheel fast enough to generate viable boost.

6) Overspin Choke
Any points plotted to the right of the graph mean the wheel in question is too small and will have to spin too quickly to make the expected boost/power. At these extreme wheel speeds, efficiency goes out the door because the wheel chops the air so badly that the pore density of the charge air will likely cause a dramatic loss of power.

7) Compressor Wheel Speed
This measurement, illustrated as lines across the graph, represents the shaft speed of the wheel. Remember, the faster it spins, the hotter the charge air. This is why they invented intercoolers

The missing pieces of the puzzle here are the engine's redline speed, the A/R of the turbine side and the volumetric efficiency of the engine. How fast an engine runs will impact the shaft speed of the turbo and when optimal efficiency is realized. The turbine side of the turbo will determine the spool-up characteristics and responsiveness of the unit. Turbine performance and engine redline speed are closely related, and together both of these factors will have a dramatic effect on the efficiency of the compressor wheel.

Further, an engine that has better volumetric efficiency, usually by way of cylinder head modification, will be able to flow more air and consequently require a different wheel than the same model of engine with no valvetrain tweaks. The compressor map is just an estimate that quickly indicates if the wheel in question will work based on two factors.

A map is not the end-all turbo-sizing tool. Turbonetics has a Turbo Match Spread-sheet program that takes into consideration the above listed items as well as fuel enrichment, intake temperatures and intercooler effectiveness to help pinpoint the proper compressor wheel for a given application.

Charting A T04E 57-trim Compressor WheelUsing a 15-psi max boost level the pressure ratio tallies 2.02. Plotting 2.00, we see peak efficiency will be realized when the wheel is moving 26 to 33 lb/min of airflow, which is capable of supporting 260 to 330 horsepower. If the engine in question is tuned to pump out 400 horses this T04E 57-trim wheel will need to see a rise in max boost to about 23 psi. Can the engine handle that kind of pressure? Does it have forged pistons and upgraded rods?

Even at this setting the efficiency is in the second ring. Also, look what happened to the wheel speed. It went from around 87,000 rpm to nearly 106,000. This will heat the charge air even more, working the intercooling system. While this wheel would get it done at 400 hp, a move to a bigger wheel may be better while also leaving some wiggle room for turning up the boost at a later date when the engine and/or the fuel system etc. are modified to handle the extra pressure.

CompressorMap1.jpg

CompressorMap2.jpg

CompressorMap3.jpg



Shaded Area
Peak efficiency for this compressor will be realized on an engine running 15 psi that is expected to generate 260 to 330 hp.

Dot-1
Here we see where 15 psi and 300 hp plots; right in the peak efficiency island.

Dot-2
With expectations of 23 psi and 400 hp, efficiency is bumped into the second ring. Wheel speed goes from 87,000 rpm at Dot 1 to more than 106,000 rpm here. Intercooling will be of prime importance. Can the engine handle 23 psi?

Dot-3
Expecting 15 psi and 450 hp, we see the combination plot outside the map in the overspin choke area. This compressor is way too small. A better flowing wheel or the move to a bigger housing/wheel combination is in order.




Credited to Evan Griffey
 

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Nice. Thanks! :thumbs:
 

Draenor

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This one will be in a little more depth...and includes mathmatical equations! :thumbs: It's for a Toyota MR2, but its a great read and the calculations can be applied for use on any engine.



The Compressor
The turbocharger compressors that I will be comparing are the TD06 20G compressor from Mitsubishi that comes with a couple of the
Greddy kits, the T04E-46, T04E-50, and the T04E-60 trim compressor wheels from Garrett. This method and formulas was taken from
A. Graham Bell's excellent book, 'Forced Induction Performance Tuning'.
First we need to calculate the engine air flow rate (CFM). The formula for this is:

CFM = L x RPM x VE x Pr
5660

Where L = engine capacity in liters
RPM = maximum engine speed (we'll adjust this later)
VE = engine volumetric efficiency. From A. Graham Bell's book Forced Induction Performance Tuning some good values for VE are:
Stock 2-valve = 85%
Stock 4-valve = 90%
Street modified = 93%
Competition = 105%
Pr = pressure ratio

To calculate the pressure ratio you need to know what boost pressure you want to run and then plug that into the following formula:

Pr = 14.7 + Boost
14.7



So - let's plug in some numbers and then apply them to the compressor maps. Say we want to run 18psi of boost. The pressure ratio
comes out to be (14.7 + 18) / 14.7 = 2.22
Now lets calculate airflow. I think it's best to calculate airflow at at least two different RPM points. For our example, let's say we want
to have full boost by half of max RPM. Redline on the MR2 is 7200RPM. So we'll calculate airflow for 3600RPM and 7200RPM, and
then see which map works out best for these values. We'll choose 90% for volumetric efficiency (VE).
For 7200RPM:
CFM = (2.0 x 7200 x 90 x 2.22) / 5660 = 508.32 or 35.6lb/min. To convert this value to lb/min take CFM and divide by 14.27.
For 3600RPM:
CFM = (2.0 x 3600 x 90 x 2.22) / 5660 = 254.1 or 17.8 lb/min. As a side note, since half the RPM will result in half the airflow, 254.1
is indeed half of 508.32
Check out the new CFM calculator. It will generate a table with varying RPM given boost, volumetric efficicency, max engine RPM,
and engine size.
Now we can look at some compressor maps and see where these points fall. Let's take a look at the TD06 - 20g compressor map first.

td06h-20g-cfmCompressorMap1.gif



We need to plot our two points on this map:
td06h-20g-cfmCompressorMap2.jpg


From these two points (where the above red lines intersect), this compressor looks like a great fit. According to the compressor map it
can make 18psi by 3600RPM, and at 7200RPM it is in the 76% efficiency 'island'. The higher the efficiency island the lower the outlet
temperature of the compressed air, and hence the more power you can make. This map also includes compressor RPM as denoted by
the numbers on the graph 55000rpm, 75000rpm and so on. At 7200 engine RPM, and making 18psi of boost, the compressor RPM is
between 105,000 and 120,000RPM. This means that the compressor is capable of supplying this type of spool up, but only when
matched with a correct sized turbine for your application. See 'The Turbine Side' below.
There is yet another item we can determine from the compressor map. We want to make sure that the turbocharger selected will not
operate to the left of the 'surge line'. The above graph does not specify a surge line, but it is to the left of any point within the largest
island on the graph. Check out the T04E-46 and 50 trim maps below, they include a surge line on the graph. A good approximate
method for checking to be sure we are away from the surge line, is to plot one more point on the compressor map. This is 20% airflow
at a pressure ratio of 1.0. Then connect that point with the 3600RPM point.
20% airflow, in our example is 101.6CFM or 7.12lb/min.


Plotting this point and connecting the dots:

td06h-20g-cfmCompressorMap4.jpg


Great! The line plotted from 20% max airflow to our 3600RPM point falls to the right of the surge line. If this line fell to the left at any
point, this compressor would not be a good choice. If the turbocharger operates to the left of the surge line, the compressor will be
unstable, and will eventually damage the compressor. From this, the TD06-20G compressor is a wonderful fit for the MR2 turbo. Now
that we have these numbers, we can plot them on other compressor maps.
For the T04E-46 trim compressor map, we need the values in lb/min.
At 7200 RPM we have 35.6lb/min.
At 3600RPM we have 17.8lb/min.
20% max airflow is 7.12lb/min.

td06h-20g-cfmCompressorMap3.gif


Plotting our points results in:

td06h-20g-cfmCompressorMap5.jpg


Here at 18psi of boost and 7200RPM we are at about 73% efficiency. This turbo will also make 18psi by 3600RPM, and we are very
safe from surge. Looking at this map, it is clear that this compressor is smaller than the TD06-20G and will spool faster. Just for fun,
we can see where on this plot we will be at 25psi of boost.
Pr = (14.7 + 25) / 14.7 = 2.70
CFM = (2 x 7200RPM x 90 x 2.70) / 5660 = 618 or 43.3lb/min.
Valid intersections are denoted by arrows.

Plotting this point for the T04E-46:

td06h-20g-cfmCompressorMap6.jpg


Whoops! - Off the graph. So we know that this compressor and the MR2's 2.0 liter engine cannot run 25psi at 7200RPM.

Doing the same for the TD06-20g compressor:

td06h-20g-cfmCompressorMap7.jpg



This compressor can produce 25psi with the 2.0 liter engine at an efficiency of 73%. Looks like 25psi, at 7200RPM is about all this
compressor will do. Keep in mind, that more boost can be made at lower RPMs, but it will start to drop off as the RPMs rise. The
TD06-20g should be able to hold 25psi to redline, but can certainly make more boost at lower RPMs.

Having fun? I sure am. How about the T04E-50 trim compressor (my favorite).

td06h-20g-cfmCompressorMap8.jpg


Looks like we cannot make 18psi by 3600RPM with this compressor, so it is going to have slightly more lag than the above two
compressors. At 7200RPM, we are just out of the 78% efficiency island, and with room to spare for more boost. So how do we make
sure that we are not to the left of the surge line? If you draw a line from 20% airflow (7.12lb/min) to the 3600RPM point (17.8lb/min),
the line is to the right of the surge line right up until the intersection. The method for determining if you are to the right of the surge line
is an approximate one, and suffice it to say, will not work if the compressor doesn't make full boost by half of redline as the method
prescribes. That said, given this compressors record, it does not operate in surge with the 2.0 liter MR2 engine. An explanation of this
is beyond the scope here. Surge usually can be noticed by a pop or backfire out of the compressor inlet.

Plotting 25psi:

td06h-20g-cfmCompressorMap9.jpg


This compressor has room to spare, even at 25psi of boost and 7200RPM it is on the 76% island! So how far can we go? We'll try 29psi
of boost.
Pr = (14.7 + 29) / 14.7 = 2.97
CFM at 7200RPM = (2.0 x 7200 x 90 x 3.08) / 5600 = 680.6CFM or 47.6lb/min

td06h-20g-cfmCompressorMap10.jpg


Just makes it! Again, keep in mind that more boost can be made at lower RPMs, but it will just start to drop off to about 29psi as the
RPMs rise.

How about that 60 trim Garrett compressor.

td06h-20g-cfmCompressorMap11.jpg


Clearly there is more lag with this compressor, but it is over 78% efficient at 7200RPM and 18psi of boost! Again, surge is a
consideration, and from word of mouth from those using this compressor, it doesn't seem to exhibit surge problems. That said, I have
not tried it myself.

25psi:

td06h-20g-cfmCompressorMap12.jpg


Makes 25psi at 7200RPM - still at 75% efficiency.
Here is an interesting one, this compressor, despite being larger, cannot make the 29psi that the 50 trim can. The graph doesn't even
extend to a pressure ratio of 3.0. At boost levels of around 18-25psi, however, it is extremely efficient and hence will make more power
at those boost levels.

The Turbine Side
The compressor is only half the story for turbochargers - the other half is the turbine side. Important numbers to consider are the A/R
ratio on the turbine side, and the exducer bore diameter. Exducer bore can be seen in the following figure.

exducerTurbo.jpg


Some general numbers for exducer bore are:
200HP - exducer bore between 41mm and 51mm
300HP - exducer bore between 52mm and 60mm.
400HP - exducer bore between 61mm and 70mm
500HP - exducer bore between 67mm and 78mm
A/R is the real important dimension for judging a turbines potential. It is determined by dividing the area of the turbine nozzle A by the
radius R from the center of the turbine axle to the center of the housing throat.

ARTurbo.jpg


Credited Joseph Obernberger
 

daddy

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My head hurts. :D
 

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