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Re: [Mgs] Engine maths...and spare time

To: Richard Lindsay <richardolindsay@gmail.com>, MGB List <mgs@autox.team.net>
Subject: Re: [Mgs] Engine maths...and spare time
From: Barrie Robinson via Mgs <mgs@autox.team.net>
Date: Sat, 28 Mar 2020 10:02:33 -0400
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Hello Richard,

One must take into account the retrograde wave peak when reaching a 
maximum pressure in the cylinder.  Another consideration is the 
displacement of the primary components when the pressure wave is at its 
maximum value.  Using the Laws of Charles Breindigger then one has to 
assume that the MEP has peaked at top dead centre and thus decline 
occurs in burn speed but reduced in proportion to the ambient 
temperature of the incoming air.   Failing considerable testing it must 
be assumed that the burn will reduce to zero when mechanical components 
phase into total inactivity.  But then this is just thinking off the top 
of my head.

Cheers - just a thought:-)
Barrie


On 3/28/2020 9:48 AM, Richard Lindsay wrote:
> Too fun Barrie! Thanks. The biggest unknown is dynamics of pressure 
> rise versus piston position.
>
> On Sat, Mar 28, 2020, 8:38 AM Barrie Robinson <barrob@bell.net 
>
>     Hello Richard,
>
>     My oath, I have just got out of bed - so pre-breakfast & coffee.  
>     I read your dissertation with bleary eyes and a befuddled brain
>     but I followed your augment but just down to the last
>     paragraphs.   So decided that breakfast was more important than
>     erudite discussions - thus am going to put down my teddy bear and
>     discard my night cap and make breakfast with the help of this
>     chick who slept with me last night .
>
>     So cheers everyone and I look forward to academic messaging.
>
>     Barrie
>
>     On 3/28/2020 8:54 AM, Richard Lindsay via Mgs wrote:
>>     Hello friends,
>>
>>        When one is a geek, one thinks of geeky things. I am a geek
>>     and this house-bound morning I woke up thinking about ignition
>>     timing. Here are the details.
>>
>>        We know that the charge (fuel plus air) in a cylinder doesn't
>>     burn instantly, despite our perception to the contrary. Rather,
>>     it takes a finite length of time from the occurance of the
>>     'spark', the flame front to cross the combustion chamber, and to
>>     raise the MEP (Mean Effective Pressure) to a maximum - the point
>>     where it does the most work. But how much time?
>>        Physics problems always start by listing the 'known' and the
>>     property to 'find'. So in this case,
>>
>>     KNOWN:
>>        Idle speed: 900rpm
>>        Idle timing advance: 4° BTDC
>>        Speed at maximum advance: 3500rpm
>>        Maximum timing advance: 32° BTDC
>>
>>     FIND:
>>        Time from spark to MEP
>>
>>        The first thing one might know is that the goal at idle is not
>>     to produce maximum power. In fact, at idle 100% of the available
>>     power is used to overcome the friction and other forces that
>>     exist at idle speed. Stated another way: Idle speed is the
>>     fastest the engine can achieve given the available charge. That
>>     fact is evident (with carbureted engines) when one notices that
>>     engine speed gradually increases, even for a fixed throttle
>>     setting, as the engine warms and friction forces decrease. But
>>     back to the problem.
>>
>>        Because the goal at idle is smooth running and progression off
>>     of idle (e.g. speeding up), not maximum power, the calculated
>>     wavefront speed may not be correct at idle. But let's see.
>>
>>        At idle speed, 900rpm in this MG TD example, the XPAG engine
>>     is turning 900rpm or 900rpm / 60mps = 15rps (revolutions per second).
>>
>>        Distributor speed is 1/2 engine speed so at idle the
>>     distributor is turning only 7.5 revolutions per second. But
>>     timing numbers are specified in degrees of crank rotations so we
>>     will stick with 15rps.
>>
>>        We don't know how fast the flame front travels across the
>>     combustion chamber but we do know that maximum work occurs when
>>     the piston is half way down the cylinder. And we also know that
>>     work isn't an instantaneous parameter so it must begin before the
>>     half way point and last past that point. Lots of unknowns and
>>     theory doesn't always work in practice. But if we use the average
>>     piston position at half-way down the bore, where most work is
>>     most effective, and the MEP (Mean Effective Pressure), since Mean
>>     is average, calculations begin.
>>
>>        A single revolution is 360° so half-way down the power stroke
>>     is 90°. Add the idle spark timing of 4° BTDC (Before Top Dead
>>     Center) and we get 94° of crank rotation from spark to MEP at
>>     half-way down. That's 94/360 or about 0.26 of an engine
>>     revolution. And the engine is turning 15 revolutions per second
>>     or 67ms (milliseconds) per revolution. So 67 x 0.26 = 17ms from
>>     spark to MEP at half-way down the power stroke, at idle.
>>
>>        If we repeat the calculations for operating engine speed and
>>     at maximum advance, we get 3500rpm / 60mps = 58rps (revolutions
>>     per second). Maximum advance is 32° BTDC so 90° + 32° = 122°,
>>     spark to MEP or 122°/360° = 0.34 of a revolution
>>
>>        58rps is 17ms/r so 17ms/r x 0.34r = 5.78ms from spark to MEP
>>     at half-way down the power stroke. This is a more representative
>>     number than the 17ms at idle. One might even divide the idle
>>     elapsed time minus the optimal time across the strike's midpoint.
>>     Doing so would mean at idle, the pressure at idle becomes most
>>     effective 5.6ms before half-way and for another 5.6ms after
>>     midpoint. Interesting that the idle pressure application time is
>>     about the same as the maximum pressure application time, or is
>>     that circular logic?
>>
>>        Yes everything above is ripe with assumptions and perhaps even
>>     apocryphal and resplendent with errors, but it is only 7am after all.
>>
>>        Anyone with extra house-bound time on their hands, please
>>     check my maths and share your corrections, including the logic of
>>     the whole experiment...or perhaps even why geeks think these ways!
>>
>>     Rick
>>
>>     _______________________________________________
>>
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>


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    <font size="-1"><font face="Arial">Hello Richard,<br>
        <br>
        One must take into account the retrograde wave peak when
        reaching a maximum pressure in the cylinder.  Another
        consideration is the displacement of the primary components when
        the pressure wave is at its maximum value.  Using the Laws of
        Charles Breindigger then one has to assume that the MEP has
        peaked at top dead centre and thus decline occurs in burn speed
        but reduced in proportion to the ambient temperature of the
        incoming air.   Failing considerable testing it must be assumed
        that the burn will reduce to zero when mechanical components
        phase into total inactivity.  But then this is just thinking off
        the top of my head.<br>
        <br>
        Cheers - just a thought<span 
class="moz-smiley-s1"><span>:-)</span></span><br>
        Barrie<br>
      </font></font><br>
    <br>
    <div class="moz-cite-prefix">On 3/28/2020 9:48 AM, Richard Lindsay
      wrote:<br>
    </div>
    <blockquote type="cite"
cite="mid:CAOc+-dwiUvTmwLwJNPHPvsTEVSrw7J_6utAfYiFij11ArThbeA@mail.gmail.com">
      <meta http-equiv="content-type" content="text/html; charset=UTF-8">
      <div dir="auto">Too fun Barrie! Thanks. The biggest unknown is
        dynamics of pressure rise versus piston position. </div>
      <br>
      <div class="gmail_quote">
        <div dir="ltr" class="gmail_attr">On Sat, Mar 28, 2020, 8:38 AM
          Barrie Robinson &lt;<a href="mailto:barrob@bell.net";
            moz-do-not-send="true">barrob@bell.net</a>&gt; wrote:<br>
        </div>
        <blockquote class="gmail_quote" style="margin:0 0 0
          .8ex;border-left:1px #ccc solid;padding-left:1ex">
          <div> <font size="-1"><font face="Arial">Hello Richard,<br>
                <br>
                My oath, I have just got out of bed - so pre-breakfast
                &amp; coffee.   I read your dissertation with bleary
                eyes and a befuddled brain but I followed your augment
                but just down to the last paragraphs.   So decided that
                breakfast was more important than erudite discussions -
                thus am going to put down my teddy bear and discard my
                night cap and make breakfast with the help of this chick
                who slept with me last night .<br>
                <br>
                So cheers everyone and I look forward to academic
                messaging.<br>
                <br>
                Barrie<br>
              </font></font><br>
            <div>On 3/28/2020 8:54 AM, Richard Lindsay via Mgs wrote:<br>
            </div>
            <blockquote type="cite">
              <div dir="auto">Hello friends,
                <div dir="auto"><br>
                  <div dir="auto">   When one is a geek, one thinks of
                    geeky things. I am a geek and this house-bound
                    morning I woke up thinking about ignition timing.
                    Here are the details.</div>
                  <div dir="auto"><br>
                  </div>
                  <div dir="auto">   We know that the charge (fuel plus
                    air) in a cylinder doesn't burn instantly, despite
                    our perception to the contrary. Rather, it takes a
                    finite length of time from the occurance of the
                    'spark', the flame front to cross the combustion
                    chamber, and to raise the MEP (Mean Effective
                    Pressure) to a maximum - the point where it does the
                    most work. But how much time?</div>
                  <div dir="auto">   Physics problems always start by
                    listing the 'known' and the property to 'find'. So
                    in this case,</div>
                  <div dir="auto"><br>
                  </div>
                  <div dir="auto">KNOWN:</div>
                  <div dir="auto">   Idle speed: 900rpm</div>
                  <div dir="auto">   Idle timing advance: 4° BTDC</div>
                  <div dir="auto">   Speed at maximum advance: 3500rpm</div>
                  <div dir="auto">   Maximum timing advance: 32° BTDC</div>
                  <div dir="auto"><br>
                  </div>
                  <div dir="auto">FIND:</div>
                  <div dir="auto">   Time from spark to MEP</div>
                  <div dir="auto"><br>
                  </div>
                  <div dir="auto">   The first thing one might know is
                    that the goal at idle is not to produce maximum
                    power. In fact, at idle 100% of the available power
                    is used to overcome the friction and other forces
                    that exist at idle speed. Stated another way: Idle
                    speed is the fastest the engine can achieve given
                    the available charge. That fact is evident (with
                    carbureted engines) when one notices that engine
                    speed gradually increases, even for a fixed throttle
                    setting, as the engine warms and friction forces
                    decrease. But back to the problem.</div>
                  <div dir="auto"><br>
                  </div>
                  <div dir="auto">   Because the goal at idle is smooth
                    running and progression off of idle (e.g. speeding
                    up), not maximum power, the calculated wavefront
                    speed may not be correct at idle. But let's see.</div>
                  <div dir="auto"><br>
                  </div>
                  <div dir="auto">   At idle speed, 900rpm in this MG TD
                    example, the XPAG engine is turning 900rpm or 900rpm
                    / 60mps = 15rps (revolutions per second).</div>
                  <div dir="auto"><br>
                  </div>
                  <div dir="auto">   Distributor speed is 1/2 engine
                    speed so at idle the distributor is turning only 7.5
                    revolutions per second. But timing numbers are
                    specified in degrees of crank rotations so we will
                    stick with 15rps.</div>
                  <div dir="auto"><br>
                  </div>
                  <div dir="auto">   We don't know how fast the flame
                    front travels across the combustion chamber but we
                    do know that maximum work occurs when the piston is
                    half way down the cylinder. And we also know that
                    work isn't an instantaneous parameter so it must
                    begin before the half way point and last past that
                    point. Lots of unknowns and theory doesn't always
                    work in practice. But if we use the average piston
                    position at half-way down the bore, where most work
                    is most effective, and the MEP (Mean Effective
                    Pressure), since Mean is average, calculations
                    begin.</div>
                  <div dir="auto"><br>
                  </div>
                  <div dir="auto">   A single revolution is 360° so
                    half-way down the power stroke is 90°. Add the idle
                    spark timing of 4° BTDC (Before Top Dead Center) and
                    we get 94° of crank rotation from spark to MEP at
                    half-way down. That's 94/360 or about 0.26 of an
                    engine revolution. And the engine is turning 15
                    revolutions per second or 67ms (milliseconds) per
                    revolution. So 67 x 0.26 = 17ms from spark to MEP at
                    half-way down the power stroke, at idle.</div>
                  <div dir="auto"><br>
                  </div>
                  <div dir="auto">   If we repeat the calculations for
                    operating engine speed and at maximum advance, we
                    get 3500rpm / 60mps = 58rps (revolutions per
                    second). Maximum advance is 32° BTDC so 90° + 32° =
                    122°, spark to MEP or 122°/360° = 0.34 of a
                    revolution</div>
                  <div dir="auto">
                    <div dir="auto"><br>
                    </div>
                    <div dir="auto">   58rps is 17ms/r so 17ms/r x 0.34r
                      = 5.78ms from spark to MEP at half-way down the
                      power stroke. This is a more representative number
                      than the 17ms at idle. One might even divide the
                      idle elapsed time minus the optimal time across
                      the strike's midpoint. Doing so would mean at
                      idle, the pressure at idle becomes most effective
                      5.6ms before half-way and for another 5.6ms after
                      midpoint. Interesting that the idle pressure
                      application time is about the same as the maximum
                      pressure application time, or is that circular
                      logic?</div>
                    <div dir="auto"><br>
                    </div>
                    <div dir="auto">   Yes everything above is ripe with
                      assumptions and perhaps even apocryphal and
                      resplendent with errors, but it is only 7am after
                      all.</div>
                    <div dir="auto"><br>
                    </div>
                    <div dir="auto">   Anyone with extra house-bound
                      time on their hands, please check my maths and
                      share your corrections, including the logic of the
                      whole experiment...or perhaps even why geeks think
                      these ways!</div>
                    <div dir="auto"><br>
                    </div>
                    <div dir="auto">Rick</div>
                  </div>
                </div>
              </div>
              <br>
              <fieldset></fieldset>
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