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Inlet-Valve Mach Index Formula

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Mach Index is the ratio of the velocity of the gases flow area to the speed of sound. In engines, it is a mathematical expression of the inlet velocity, relative to the speed of sound. Check FAQs

Z = ({(\frac{D c}{D i})}^{2}) \cdot (\frac{s p}{q f \cdot a})

Z - Mach Index?D_c - Cylinder Diameter?D_i - Inlet Valve Diameter?s_p - Mean Piston Speed?q_f - Flow Coefficient?a - Sonic Velocity?

Inlet-Valve Mach Index Example

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Here is how the Inlet-Valve Mach Index equation looks like with Values.

Here is how the Inlet-Valve Mach Index equation looks like with Units.

Here is how the Inlet-Valve Mach Index equation looks like.

3318.9619 = ({(\frac{85}{2})}^{2}) \cdot (\frac{73.72}{11.8 \cdot 340})

3318.9619 = ({(\frac{85cm}{2cm})}^{2}) \cdot (\frac{73.72m/s}{11.8 \cdot 340cm/s})

3318.9619 = ({(\frac{85}{2})}^{2}) \cdot (\frac{73.72}{11.8 \cdot 340})

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Inlet-Valve Mach Index Solution

Follow our step by step solution on how to calculate Inlet-Valve Mach Index?

FIRST Step Consider the formula

Z = ({(\frac{D c}{D i})}^{2}) \cdot (\frac{s p}{q f \cdot a})

Next Step Substitute values of Variables

∴

Z = ({(\frac{85cm}{2cm})}^{2}) \cdot (\frac{73.72m/s}{11.8 \cdot 340cm/s})

Next Step Convert Units

∴

Z = ({(\frac{0.85m}{0.02m})}^{2}) \cdot (\frac{73.72m/s}{11.8 \cdot 3.4m/s})

Next Step Prepare to Evaluate

∴

Z = ({(\frac{0.85}{0.02})}^{2}) \cdot (\frac{73.72}{11.8 \cdot 3.4})

Next Step Evaluate

∴

Z = 3318.96186440678

LAST Step Rounding Answer

∴

Z = 3318.9619

Inlet-Valve Mach Index Formula Elements

Variables

Mach Index

Mach Index is the ratio of the velocity of the gases flow area to the speed of sound. In engines, it is a mathematical expression of the inlet velocity, relative to the speed of sound.

Symbol: Z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Index

Cylinder Diameter

Cylinder Diameter is the diameter of the cylinder of an engine.

Symbol: D_c

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Cylinder Diameter

Inlet Valve Diameter

Inlet Valve Diameter is the diameter of the inlet valve of the engine through which the fuel-air mixture is drawn into the cylinder.

Symbol: D_i

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Inlet Valve Diameter

Mean Piston Speed

Mean Piston Speed is the average speed of the piston over one engine revolution.

Symbol: s_p

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Mean Piston Speed

Flow Coefficient

The Flow Coefficient is a relative measure of the efficiency at allowing fluid flow.

Symbol: q_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Flow Coefficient

Sonic Velocity

Sonic Velocity is speed of sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium.

Symbol: a

Measurement: SpeedUnit: cm/s

Note: Value can be positive or negative.

Formulas to find Sonic Velocity

Other formulas in Important Formulas of Engine Dynamics category

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B n = \frac{HP}{P \cdot SV p \cdot f e}

Go Friction Power

FP = IP - BP

Go Swept Volume

V s = (((\frac{π}{4}) \cdot {D ic}^{2}) \cdot L)

Go Mean piston speed

s p = 2 \cdot L \cdot N

How to Evaluate Inlet-Valve Mach Index?

Inlet-Valve Mach Index evaluator uses Mach Index = ((Cylinder Diameter/Inlet Valve Diameter)^2)*((Mean Piston Speed)/(Flow Coefficient*Sonic Velocity)) to evaluate the Mach Index, The Inlet-Valve Mach Index formula is defined as ratio of gas velocity through the inlet valve at the smallest flow area to the inlet sonic velocity. Mach Index is denoted by Z symbol.

How to evaluate Inlet-Valve Mach Index using this online evaluator? To use this online evaluator for Inlet-Valve Mach Index, enter Cylinder Diameter (D_c), Inlet Valve Diameter (D_i), Mean Piston Speed (s_p), Flow Coefficient (q_f) & Sonic Velocity (a) and hit the calculate button.

FAQs on Inlet-Valve Mach Index

What is the formula to find Inlet-Valve Mach Index?

The formula of Inlet-Valve Mach Index is expressed as Mach Index = ((Cylinder Diameter/Inlet Valve Diameter)^2)*((Mean Piston Speed)/(Flow Coefficient*Sonic Velocity)). Here is an example- 3318.962 = ((0.85/0.02)^2)*((73.72)/(11.8*3.4)).

How to calculate Inlet-Valve Mach Index?

With Cylinder Diameter (D_c), Inlet Valve Diameter (D_i), Mean Piston Speed (s_p), Flow Coefficient (q_f) & Sonic Velocity (a) we can find Inlet-Valve Mach Index using the formula - Mach Index = ((Cylinder Diameter/Inlet Valve Diameter)^2)*((Mean Piston Speed)/(Flow Coefficient*Sonic Velocity)).

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Inlet-Valve Mach Index Formula

Inlet-Valve Mach Index Example

Inlet-Valve Mach Index Solution

Inlet-Valve Mach Index Formula Elements

Other formulas in Important Formulas of Engine Dynamics category

How to Evaluate Inlet-Valve Mach Index?

FAQs on Inlet-Valve Mach Index

Variable Name