Math for Motorheads
 

 

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Math for Motorheads

This page is dedicated to formulas that are often needed on the fly, but no one ever seems to have access to quickly enough.

 

  • Power

        - HP = Torque x RPM /5252

        -HP = (6.2831853 x RPM x torque) / 33,000

        -Torque = 5252 x HP / RPM

 

 

  • Mean Effective Pressure

        -MEP = (HP x 792,000) / (displacement x RPM)

        -MEP = torque x 150.8 / displacement

 

 

  • Brake Specific Fuel Consumption

        -BSFC = Fuel Pounds Per Hour / Brake Horsepower

 

 

  • Air Flow

        -Theoretical CFM = RPM x displacement /3456

        - Volumetric Efficiency (VE) = (Actual CFM / theoretical CFM) x 100

 

 

  • Displacement

        -pi = 3.1415927

        -(pi / 4) =0.7853982

        -Cylinder Volume = (pi / 4) x (bore 2) x stroke

        -Displacement = ((pi / 4) x (bore 2) x stroke x number of cylinders)

        -Stroke = Displacement / ((pi / 4) x (bore 2) x number of cylinders)

        -Bore = √ [Displacement / ((pi / 4) x stroke x number of cylinders)]

 

  • Compression ratio

        -Compression ratio = Cylinder volume + Chamber volume / Chamber volume

        -Chamber volume = Cylinder volume / (Compression ratio - 1.0)

        -Displacement ratio =cylinder volume / chamber volume

 

  • Amount to mill off a cylinder head to achieve a desired new compression ratio

        -[(new disp ratio - old disp ratio) / (new disp ratio x old disp ratio)] x Stroke

 

  • Air Fuel Ratios

    Gasoline = 14.7:1   (This is stoichiometric or 'scientifically' correct providing enough oxygen to burn all the fuel)

    Gasoline = 14.3:1   (This is stoichiometric for gasoline with 10% ethanol)

    Gasoline - Naturally aspirated best power = 12.5:1 to 13.2:1  (This depends on the engine, and all the factors that affect stratification and burn efficiency  -  In general you give the engine what it wants)

    Gasoline - turbo = 11.8:1 to 12.5:1  (This depends on the engine.  The extra fuel absorbs the added intake heat and the vaporization of it cools the intake charge and the richer mixture provides a level of safety)

    Gasoline - turbo, old school non intercooled and roots supercharged = 11.0:1 to 11.9:1  (This depends on the engine.  You're flooding a fire hose of fuel down the intake here. The extra fuel absorbs the added intake heat and the vaporization of it cools the intake charge.  It can also help if the carb or a fuel injector is pre roots blower to lube and seal seal the rotor strips.)

    E85 Gasoline - 9.7:1 to 9.8:1 (This is stoichiometric or 'scientifically' correct providing enough oxygen to burn all the fuel)

    E85 Gasoline - Naturally aspirated best power =7.0:1 to 8.5:1 (This depends on the engine, and all the factors that affect stratification and burn efficiency  -  In general you give the engine what it wants)

    Ethanol - 9.0:1 (This is stoichiometric or 'scientifically' correct providing enough oxygen to burn all the fuel)

    Ethanol - Naturally aspirated best power = 6.4 to 7.8 (This depends on the engine, and all the factors that affect stratification and burn efficiency  -  In general you give the engine what it wants) Note that Ethanol can yield a 4 to 5% power gain as it cools the intake charge better than gasoline due to latent heat of vaporization.

    Methanol - 6.5:1 (This is stoichiometric or 'scientifically' correct providing enough oxygen to burn all the fuel.  You can idle on this but running and best power are richer still.)

    Methanol - 4.5:1 to 5.5:1 (This depends on the engine. It's very rich but supercharged engines will eat this mixture right up -  Like gasoline, you give the engine what it wants.  Also, commercial Air Fuel Meters often respond much too slowly to the signal when Methanol goes lean, so you will often hear that "the readings were good" but the racer lost a piston.  Start too rich and tune so the burble goes away.) Note that Methanol can yield a 10 to 20% power gain and while it lights off easy -think glow plug in RC car and plane engines - its richness and latent heat of evaporation allow it to wick the heat from hot spots in the combustion chamber allowing high compression ratios or higher boost levels without detonation.

    Nitromethane- 2.5:1 to as much as 1.0:1 under load!  (Nitro (CH3NO2) is nearly a mono propellant.  That means it requires almost no additional oxygen from the atmosphere to burn.  Ounce for ounce it contains about half the heat energy of gasoline.  Since it requires around 5 times as much fuel as gasoline to run, it can double an engines power output.  It also does not tune like gasoline at all.  Throw out everything you know when it comes to tuning an engine.)

     

    Note - When using a commercial AFR meter:  Oxygen sensors measure excess air.  They read and think in Lamda - 1.00 is stoichiometric.  A commercial meter will generate a reading of 14.7 when running at stoichiometric on gasoline or Ethanol or Methanol.

     

    Lambda = actual AFR / stoich AFR

    For Gasoline:

    14.7:1 = 1.00 Lamda

    12.5:1 = 0.85 Lamda

     

    For Ethanol

    9.0:1 = 1.00 Lambda

    7.6:1 = 0.85 Lambda

     

    For Methanol

    6.5:1 = 1.00 Lambda

    5.5:1 = 0.85 Lambda

    Your gasoline AFR meter should be read and be tuned like a gasoline AFR meter when running other fuels.  It doesn't know you are running a different fuel, all it sees and measures is excess oxygen and converts Lambda to the gasoline AFR scale for display purposes.

    Professional grade units can be switched to read either straight Lamda, Gasoline AFR, Ethanol AFR or Methanol AFR. 

    In our case, our units can be configured for Gasoline, Ethanol, Methanol, Diesel, Propane, CNG or custom blends (such as E10 @ 14.2:1).

 

 

 

 

 


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Last modified: 01/31/16