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IC Engine - Jeff Hanna

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    EARLY WORK ON FLUID MECHANICS IN THEINTERNAL COMBUSTION ENGINE

    John L Lumley

    Annual Review of Fluid Mechanics Vol. 33 pp. 319-338

    Jeff HannaApril 26, 2006

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    OVERVIEW

    Stimulus for understanding effects ofturbulence

    Engine knockingTurbulence plays a significant role

    Ricardo Early 1900s

    Understand turbulence and its effect on knock

    Early fuel had very low octane

    Either limit compression ratio or increase turbulence

    Investigate overhead valve engines and flat-head engines

    National Advisory Committee for Aeronautics Mid 1900s

    Performed two research projects on a simulated cylinder of

    an aircraft engine to measure internal turbulence

    Obukhov 1970s

    Significant research on swirling motions in ellipsoids

    Found two types of instabilities

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    STIMULUSMain reason to investigate turbulence effects: knock

    Auto-ignition of gasoline-air mixture that occurs above a certain

    temperature and pressure. Ifthe mixture ignites before it is

    supposed to, the engine cannot function properly.

    This auto-ignition reaction takes time, and must not be completed

    before the spark induced flame reaches all ofthe gases

    Turbulence increases the flame speed, thereby decreasing the

    amount

    oftime

    tha

    tthe end gases mus

    twai

    t.-Desire to induce turbulence

    Tumble is a rotational motion about an axis perpendicularto that

    ofthe cylinder

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    RICARDO EARLY 1900s

    Very low octane content rating prone to knocking

    Keep compression ratio low sacrifices performance

    Use turbulence to increase flame speed

    Alter shape of combustion chamber

    Through lots oftesting, Ricardo became convinced thatthe higher

    efficiency of overhead valve engines (compared to flat-head valve)

    was due to much greaterturbulence, shorter flame travel, and was

    thus less prone to detonate

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    RICARDO EARLY 1900s

    Overhead Valve Engine Ricardos Flat-head Valve Engine

    De K Dykes et al (1965)

    Lee (1939)

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    RICARDO EARLY 1900s

    Ricardos Flat-head Valve Engine

    1. Concentrate main volume of

    chamber overthe valves,

    leaving minimum clearance

    bet

    ween pist

    on and cylinderhead

    2. Chilled portion of charge

    trapped in laminum so it

    could not detonate (squish)

    3. Shortened flame travel bymoving sparkplug to the

    center ofthe chamber

    12

    3

    De K Dykes et al (1965)

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    RICARDO EARLY 1900s

    Ricardo was able to obtain the same power output as an overhead

    valve engine ofthe same dimensions.

    Therefore, turbulence levels can be assumed to be comparable

    In general, turbulence levels in an engine cylinder scale with the mean

    piston speed.

    An overhead valve engine with tumble reaches a RMSturbulent velocity

    of scale mean piston speed

    An engine without squish reaches RMSturbulent velocity of mean

    piston speed

    Estimating the RMSturbulent velocity for squish reveals mean piston

    speed

    Combine this with the residual to obtain a RMSturbulent velocity of

    scale mean piston speed just like an overhead valve engine.

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    NACA 1938

    In 1938, the National Advisory Committee for Aeronautics

    performed two experiments on a simulated aircraft engine cylinder.

    Using a glass cylinder and high speed

    camera, they were able to calculate

    speeds of chopped goose down in anoverhead valve cylinder with 4 valves.

    Determined RMSturbulent velocity to

    be approximately 1.6 times the mean

    piston speed, with small amounts of

    tumble.

    Lee (1939)

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    NACA 1938

    Using shrouds on the valves

    placed in various positions as

    shown here, NACA

    determined thatthe RMSturbulence velocities

    increased to about 2.6 times

    the mean piston speed, with

    much more tumble.

    Lee (1939)

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    NACA 1938

    In their second experiment, they removed

    the glass cylinder and instead put a glass

    window in place ofthe exhaust valves.

    Observed thatthe highestturbulence level

    during early combustion was fromshrouding arrangements D, G and F,

    which were expected to produce the

    highest levels ofturbulence.

    The conclusion from these experimentswas thatthe higher levels ofturbulence

    were directly proportional to the gas

    velocities flowing through the valves.Lee (1939)

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    OBUKHOV 1970s

    Analyses of dynamical behavior oftumbling motion in ellipsoids that

    can be utilized for flow in an engine cylinder.

    Obukhov et al considered an incompressible, inviscid fluid system

    and found thatthe simplest non-trivial system is a triplet which can

    be writt

    en in canonical form shown here, and which arethe same asEulers equations for force-free motion of a rigid body.

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    OBUKHOV 1970s

    From the rigid body equations, we know there is a second integral

    of motion which corresponds to angular momentum.In a fluid case, this corresponds to the sum ofthe squares of

    circulations aboutthe principal sections

    Spin of a rigid body aboutthe middle axis is unstable, while spin

    around the othertwo axes is stable (various textbooks on

    mechanics).

    Related to fluid mechanics, rotation aboutthe middle axis of an

    ellipsoid is unstable and will overturn.

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    OBUKHOV 1970s

    Obukhov et. al experimented with transparent spinning ellipsoids

    (filled with water) to look atthe instabilities associated with theflow.

    The ellipsoid was rotated for a long period oftime to ensure solid

    body rotation, and then quickly stopped.

    The flow satisfied the force-free motion of a rigid body

    equations until the boundary layers became too large, which

    took approximately 5 fluid revolutions.

    If initial rotation was aboutthe short axis, the motion was

    stable and continued.If rotation was aboutthe intermediate axis, it flipped over and

    rotated aboutthe shorter axis within about one fluid revolution

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    OBUKHOV 1970s

    Overturning process forrotation of a fluid aboutthe

    intermediate axis of an

    ellipsoid (Obukhov 2000)

    Obukhov (2000)

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    OBUKHOV 1970s

    Stability of rotation aboutthe

    long axis can be demonstratedifthe long axis is less than 2x

    the short axis.

    Asthe long axis leng

    threaches 2x the short axis, the

    flow flips and forms two

    vortices, parallel to the short

    axis.

    As the long axis is increased,

    the motion becomes stable

    again, and then unstable etc.

    Obukhov (2000)

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    APPLICATION TO AUTOMOBILE ENGINE

    Ricardo proved that increasing the turbulence in the combustion

    chamber increased flame speed, making engines more reliable.

    NACA demonstrated that valve arrangements make it possible to

    introduce tumble in a cylinder

    We expect conservation of angular momentum to amplify the tumble

    during the compression stroke, as the vortices get smaller.

    Obukhov showed how rotational flow aboutthe intermediate axis was

    unstable and would turnover.

    2 Problems Ellipsoid is not a cylinder

    Cylinder is symmetric

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    APPLICATION TO AUTOMOBILE ENGINE

    Problems with Obukhov:

    The rotation in a cylinder will be of higher order.

    Truncating the system at least allows for a qualitative idea

    of what is happening, even though it is not exact.

    Because the the cylinder is symmetric, two ofthe axes will be

    the same length. If rotation is aboutthe long axis, I1=I2,

    corresponding to r=0 from the rigid body equations. This results

    in a table situation, and no overturning would be present.

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    APPLICATION TO AUTOMOBILE ENGINE

    Multi-vortex instability

    Stabilities change as the piston moves up the cylinder.

    Initially the long axes is the axis ofthe cylinder, but once the

    piston moves half way up the cylinder, it becomes the smallest

    axis, with two equal longer axes perpendicularto it.The tumble will break up into a number of smaller cortices

    with axes at right angles to the axis of initial tumble.

    As the piston moves more and more, the number of vortices

    becomes greater and the individual vortices smaller in

    diameter.

    Gledzer & Ponomarev (1992) indicated that when the piston is

    half-way up the cylinder, the tumble becomes unstable to half-size

    vortices a

    trigh

    tangles

    tothe original axis, fur

    ther backing

    this.

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    QUESTIONS?


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