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Thread: Turbocharging - A Quick Guide

  1. #1
    Dead Sea Racing Crew phillysrt4's Avatar
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    Turbocharging - A Quick Guide

    Just a quick guide I wrote up on turbocharging today. There seem to be a few forced induction threads out there and hopefully this will help demystify turbocharging for those considering it. Enjoy!

    Turbocharging Information

    It seems in the mustang world that the supercharger is king and rightfully so. Paxton, Eaton, and KB have all left their mark in the mustang world with proven combinations that make great power. The success of the 03/04 Cobras is a testament to the maturity of mustang supercharging. While not as rich of a history, turbocharging also has had it's place in mustangs. The SVO of the 80's one such car. To this day there are ardents of the 2.3 turbo platform abound. With the turbocharger designs and pricing we have today we are prime for a new renaissance of turbocharged cars. Hopefully this "Cliff's Notes" guide to turbocharging will help you make an informed decision should you decide to forcefeed your car.

    How does it work?

    If you are already familiar with superchargers, thats easy. It uses exhaust gases intead of a belt to spin your compressor wheel. You may now go on to the next section. :)

    For those of you not familiar, this picture may help:


    Image source: http://www.turbomustangs.com/turbotech/main.htm

    when the exhaust gases pass over the turbine wheel it causes it to turn. The turbine wheel is connected to the compressor wheel by a shaft. This way when the turbine wheel turns, the compressor wheel turns. The compressor wheel spinning is what pressurizes the air between the compressor outlet and your engine.

    Turbine Details

    The turbine wheel of a turbocharger is enclosed in a housing that will direct exhaust gas over the turbine wheel to make it spin efficiently. The consequence of this is some restriction in exhaust gas flow. The restriction of flow creating backpressure becomes more extreme as you try to push more and more exhaust gas through the housing (i.e. when your engine's RPM increases). A properly sized turbine housing will allow efficient spinning of the turbine wheel relative to exhaust gas flow. This is where the turbine housing's A/R comes into play.

    What is A/R Anyway?

    The A/R of a turbo's housing is a ratio that shows the relationship between the cross sectional area of the throat and the distance from that cross sectional area to the center of the wheel. See the graphic:


    Image source: http://www.junkyardturbos.com/Turboc...Area-Ratio.php

    As the above illustration shows, as the area increases, so does the radius proportionally so that the ratio stays constant.

    What this means is that for two turbos that have the same overall housing size, a lower A/R number means that the cross sectional area of the throat is smaller. This in turn means that for two turbos with the same housing size, the turbo with a lower A/R number will spool faster compared to a higher A/R number but will hit its ability to flow gas sooner (read: become a performance impediment sooner).

    What Is "Trim"?

    In addition to the diameter of a compressor or turbine wheel, the "trim" of the wheel gives more details about the behaviour of the gas flow. This term applies to both compressor and turbine wheels but is more common in compressor wheel discussion.

    If you look at a turbine or compressor wheel from the side view, you will see that the fins of the wheel are "wider" at the bottom than at the top. For a compressor wheel, the diameter at the top of the wheel is called the Inducer Diameter. The diameter at the bottom of the wheel is call the Exducer Diameter. The positions of the inducer and exducer diameters are reversed on a turbine wheel due to the direction of gas flow across the wheel.


    Image source: http://www.junkyardturbos.com/Turboc...Area-Ratio.php

    Image source: http://www.junkyardturbos.com/Turboc...Area-Ratio.php

    The trim of a compressor wheel is a numerical value derived from the following formula:

    Compressor Trim = (I/E)^2*100

    Where I = Inducer Diameter
    E = Exducer Diameter

    For example, if we have a 78mm wheel with a 55mm inducer diameter, then:

    Compressor Trim = (55/78)^2*100 = 49.72 ~ 50

    So this compressor wheel would be a 78mm, 50-trim compressor.

    A compressor wheel's trim is an indication of the tradeoff between flow and efficiency. The higher the trim, the better the flow but the lower the efficiency. The "50-trim" turbos are a great compromise between flow and efficiency which is why these turbos are so popular.

    So, What Size Turbo Do I Use?

    We're going to ignore the turbine side for the moment so that we can discuss how to select a compressor using a compressor map. Everything I am going to discuss here can be found at Garrett's website:

    http://www.turbobygarrett.com/turbob...o_tech103.html

    In a nutshell, its flow, not PSI, that determines your potential power output. The relationship between flow and power is expressed in the following equation:

    Wa = HP * Afr * BSFC/60

    Where:
    Wa = airflow required
    HP = horsepower target
    Afr = air-fuel ratio
    BSFC = Brake Specific Fuel Consumption (0.55 is a good middle-of-the-road number to use)

    So for 500hp at an air-fuel ratio of 11.5:1 with a BSFC of 0.55, we need an airflow of:

    Wa = 500 * 11.5 * 0.55 / 60 = 52.71 lb/min of flow.

    Notice that the airflow does not rely on engine size or RPM. However, how much boost you need to achieve the desired flow does depend on engine size and RPM as shown in the following equation:

    MAP = (Wa * R * (460 + Tm))/(Ve * N/2 * Vd)

    Where:
    MAP = Manifold Absolute Pressure (psia) required to meet the horsepower target
    Wa = Airflow in lb/min
    R = Gas Constant = 639.6
    Tm = Intake Manifold Temperature (degrees F)
    Ve = Volumetric Efficiency
    N = Engine speed (RPM)
    Vd = engine displacement (Cubic Inches, convert from liters to CI by multiplying by 61.02, ex. 2.0 liters * 61.02 = 122 CI)

    In our example, if we are looking at getting 500hp out of our Mustang 5.0, lets make the additional assumptions based on a well-intercooled turbo system:

    Wa = 52.71 lb/min as calculated above
    Tm = 130 degrees F
    Ve = 90% at peak power (not unrealistic assuming you have a good set of heads on the engine)
    N = 6000 RPM
    Vd = 302 CI

    Then:

    MAP = (52.71 * 639.6 * (460 + 130))/(0.90 * 6000/2 * 302) = 24.39 ~ 24.4 psia (or 9.7 psig boost).

    (Note that both calculations above are using a single turbo system. If you are going to use a twin turbo setup, then cut your airflow in half (since each turbo will handle half the airflow) and use half of your engine's displacement for the MAP calculation.)

    Now that we know both the airflow and the amount of boost we need (neglecting pressure losses going through an intercooled system), we can look at the compressor maps of various turbos in order to figure out a suitable turbo.

  2. #2
    Dead Sea Racing Crew phillysrt4's Avatar
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    Reading A Compressor Map

    Below is a typical compressor map. This particular example is the Garrett GT4088R dual ball bearing turbo:



    You will see along the horizonal axis is the air flow in lb/min and the vertical axis is the pressure ratio. The pressure ratio is the MAP express in psia divided by normal atmospheric pressure (14.7 lb/in^2):

    Pressure Ratio = MAP / 14.7

    Another way of thinking of it is:

    Pressure Ratio = (boost + 14.7) / 14.7

    In our example above:

    Pressure Ratio = 24.4/14.7 = 1.66

    If you only have the "boost pressure" such as the reading you get looking at a boost gauge, you can get your pressure ratio using (boost + 14.7)/14.7 above. This is useful if you already have a turbo installed and you're curious if you're close to pushing the limit of the turbo.

    Back to the map. There are two parts of the map that are crucial to look at: The surge limit and the choke limit. The surge limit is the leftmost part of the graph. In a nutshell, operating left of the surge limit is very bad for your turbo and will cause premature wear/death of your turbo. The choke limit is the rightmost line of the graph. The turbo is horrendously inefficient to the right of this line and/or its speed will exceed engineering specifications.

    Let's put a red dot where our airflow versus pressure ratio puts us on this turbo:



    I would rate this turbo as "acceptable" to "good". It may not seem that way at first being so close to the choke limit, but remember we have assumed an "ideal" intercooling system. Inefficiences in the intercooler system will result in a pressure drop, thus increasing our pressure ratio. For example, if there was a 1 psi drop due to intercooler losses, then we have to add 1 psi so that the pressure ratio at the turbo becomes:

    Pressure Ratio = 24.4 + 1/(14.7) = 25.4 / 14.7 = 1.73

    This pressure ratio puts us in a "sweet spot" of the turbo in a very nice efficiency island. Moreover, as the flow through the motor increases, the turbo will be working through its more efficient area.

    Another alternative is to lower where we want our power peak to occur. Suppose we decide it's more practical for our mustang to make its peak power at 5250 for whatever reason, then:

    MAP = (52.71 * 639.6 * (460 + 130)) / (0.90 * 5250/2 * 302) = 27.88 psia (or 13.18 psig boost)

    Which then implies:

    Pressure Ratio (ideal) = 27.88 / 14.7 = 1.897 ~ 1.90

    The compressor map shows this turbo becomes more appealing to use if we lower the peak power RPM and turn the boost up to compensate (netting us the same flow).

    For the sake of the argument, lets consider a slightly smaller turbo, the 3582R. The dot represents the pressure ratio of a system with no losses, the square a 1psi drop through the intercooler:



    This turbo is just too small to be suitable for the power levels required.

    I would also suggest looking at a few different compressor maps and see how the "contours" of the map change as the trim level of the compressor wheel changes. Its clear to see how the trim changes the map both in flow and where the efficiency islands are located as you move from a T3-40 trim through to a T3-60 trim:

    http://www.turbocharged.com/catalog/compmaps/fig1.html

    What About Spoolup?

    Another common question asked is "when will this turbo 'spool'?" The effect of the compressor on spoolup is relatively easy to answer based on the equations we have already. Let's assume that we can magically find a 9.7 pound spring for our wastegate. This way we know that the turbo will never exceed 9.7 pounds of boost. Recall we calculated MAP with the equation:

    MAP = (Wa * R * (460 + Tm))/(Ve * N/2 * Vd)

    If we rewrite this equation to solve for N (the engine's speed in RPM), we have:

    N = (2 * Wa * R * (460 + Tm)) / (Ve * Vd * MAP)

    This far, we either know, assumed, or calculated everything in this equation except for the airflow (Wa). This is easy to find. Look at the dot on our compressor map and go left until you hit the surge line, then go down to see what the minimum airflow at that pressure ratio needs to be to avoid surge. I'll estimate it at 12 lb/min (this number would be slightly higher if we were to use a pressure ratio that factored in intercooler losses). Thus, the earliest we can spool without going into surge is:

    N = (2 * 12 * 639.6 * (460 + 130)) / (0.90 * 302 * 24.4) = 1365 RPM (!!!)

    Even if you factored in intercooler losses, it's clear we can achieve maximum boost pretty anywhere off idle! For all intents and purposes, the ability for this turbo to spool to our boost limit will be regulated solely by the A/R of the turbine side of our turbo. In addition, any RPM above idle will keep our turbo out of surge at the boost level selected.

    I'll provide additional details on turbine selection in a future update.

    Conclusion

    As you can see, once you understand some of the terminology and have a working knowledge of a few equations, it is relatively easy to select a turbo for your application. I hope this also brings awareness that in some cases getting more power out of your turbo isn't as simple as raising boost (but it's close :) ). With a little thought and a few calculations, the world of forced induction is yours.
    Last edited by phillysrt4; 12-03-2009 at 12:46 PM. Reason: last edited "spoolup" wording and confused intake loss with intercooler loss - equation fixed

  3. #3
    Senior Member 97LaserRed's Avatar
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    Awesome write up!!!!

  4. #4
    Your mom cwh19's Avatar
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    sticky for sure
    The best former Rodeheaver's Hot Rod employee ever.

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  5. #5
    Dead Sea Racing Crew phillysrt4's Avatar
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    thank you both. I'm re-reading it and adding corrections to spelling or ideas as some parts dont quite sit well enough for me.

  6. #6
    Tripedalist yeahloh95's Avatar
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    that was very helpful on compressor map desifering
    Troy
    95 gt 11.3 @ 126
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    90 lx supercharged 440 rwhp on 8 lbs
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    PEOPLE HAVE MORE FUN THAN ANYONE

  7. #7
    Senior Member scott5's Avatar
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    Nice write up!

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    Senior Member Cam99's Avatar
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    Great write up. Now make one to help me pick out the perfect camshaft!

  9. #9
    Dead Sea Racing Crew phillysrt4's Avatar
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    LOL! From what I've seen that write up is 2 words:

    Camshaft Innovations

  10. #10
    Jay Allen is a good guy to deal with and also Bob Cook at cam motion. We are dealers for both and have sold and used both of their cams with great success.
    http://www.streetlethalperformance.net
    Let us know your parts needs! We will work to get you the lowest possible price!

  11. #11
    never stock biminiLX's Avatar
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    I've had great success with Ed Curtis at Flow Tech Inductions.
    Many people think the cam isn't as important with a turbo car, and that's partially correct in that the turbo will ultimately dictate the power potential, BUT the right turbo cam can make more power with less boost.
    Last, can anyone find me a map for a Garrett GT4788 with 1.08 A/R, I can't find the one I had in my computer. I've got some good data on my motor without the turbo and would like to apply some of those formulas/map.
    -J
    '91 LX Bimini Blue
    427"/88mm on 16psi

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  12. #12
    Senior Member scott5's Avatar
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    Quote Originally Posted by biminiLX View Post
    I've had great success with Ed Curtis at Flow Tech Inductions.
    Many people think the cam isn't as important with a turbo car, and that's partially correct in that the turbo will ultimately dictate the power potential, BUT the right turbo cam can make more power with less boost.
    Last, can anyone find me a map for a Garrett GT4788 with 1.08 A/R, I can't find the one I had in my computer. I've got some good data on my motor without the turbo and would like to apply some of those formulas/map.
    -J
    Isnt it true that the smaller cams are alot better for a turbo car?

  13. #13
    Dead Sea Racing Crew phillysrt4's Avatar
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    by smaller do you mean less overlap?

  14. #14
    Dead Sea Racing Crew phillysrt4's Avatar
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    Quote Originally Posted by biminiLX View Post
    can anyone find me a map for a Garrett GT4788 with 1.08 A/R, I can't find the one I had in my computer.
    -J
    According to this website:

    http://www.evans-tuning.com/ecommerce/gt4718r.html

    The GT4788 is the same as the GT4718R.

    The GT4718R with the 1.08 AR exhaust housing can be found here:

    http://www.turbobygarrett.com/turbob..._769112_6.html

  15. #15
    More RPM !!! Martin0660's Avatar
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    Quote Originally Posted by scott5 View Post
    Isnt it true that the smaller cams are alot better for a turbo car?
    Depends on what you mean by smaller :D Lift is fine, but you better watch the LSA real close ;)
    Bob Myers ©

    84 Capri RS Turbo -Best 1/8th - 6.24@109, Best 1/4 - 9.82@136...Still only a 4 banger

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