Simplified Pressure Ratio for Blunt Cylinder Blast Wave Calculator

✖Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number [M]			+10% -10%
✖Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.ⓘ Drag Coefficient [C_D]			+10% -10%
✖Distance from X-Axis is defined as the distance from the point where stress is to be computed to XX axis.ⓘ Distance from X-Axis [y]			+10% -10%
✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [d]			+10% -10%

✖Pressure Ratio is ratio of final to initial pressure.ⓘ Simplified Pressure Ratio for Blunt Cylinder Blast Wave [r_p]

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Formula

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Simplified Pressure Ratio for Blunt Cylinder Blast Wave

Formula

`"r"_{"p"} = 0.0681*"M"^2*sqrt("C"_{"D"})/("y"/"d")`

Example

`"3.799624"=0.0681*("5.5")^2*sqrt("2.8")/("2.2m"/"2.425m")`

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Download Hypersonic Equivalence Principle and Blast-Wave Theory Formulas PDF

Simplified Pressure Ratio for Blunt Cylinder Blast Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Ratio = 0.0681*Mach Number^2*sqrt(Drag Coefficient)/(Distance from X-Axis/Diameter)
r_p = 0.0681*M^2*sqrt(C_D)/(y/d)
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Pressure Ratio - Pressure Ratio is ratio of final to initial pressure.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
Drag Coefficient - Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
Distance from X-Axis - (Measured in Meter) - Distance from X-Axis is defined as the distance from the point where stress is to be computed to XX axis.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

STEP 1: Convert Input(s) to Base Unit

Mach Number: 5.5 --> No Conversion Required
Drag Coefficient: 2.8 --> No Conversion Required
Distance from X-Axis: 2.2 Meter --> 2.2 Meter No Conversion Required
Diameter: 2.425 Meter --> 2.425 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_p = 0.0681*M^2*sqrt(C_D)/(y/d) --> 0.0681*5.5^2*sqrt(2.8)/(2.2/2.425)

Evaluating ... ...

r_p = 3.79962353187735

STEP 3: Convert Result to Output's Unit

3.79962353187735 --> No Conversion Required

FINAL ANSWER

3.79962353187735 ≈ 3.799624 <-- Pressure Ratio

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Hypersonic Equivalence Principle and Blast-Wave Theory » Cylindrical Blast Wave » Simplified Pressure Ratio for Blunt Cylinder Blast Wave

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< 8 Cylindrical Blast Wave Calculators

Modified Pressure Equation for Cylindrical Blast Wave

Go Pressure = [BoltZ]*Freestream Density*sqrt(pi/8)*Diameter*sqrt(Drag Coefficient)*(Freestream Velocity for Blast Wave^2)/Distance from X-Axis

Pressure Ratio for Blunt Cylinder Blast Wave

Go Pressure Ratio for Blunt Cylinder Blast Wave = 0.8773*[BoltZ]*Mach Number^2*sqrt(Drag Coefficient)*(Distance from X-Axis/Diameter)^(-1)

Boltzmann Constant for Cylindrical Blast Wave

Go Boltzmann Constant = (Specific Heat Ratio^(2*(Specific Heat Ratio-1)/(2-Specific Heat Ratio)))/(2^((4-Specific Heat Ratio)/(2-Specific Heat Ratio)))

Pressure for Cylindrical Blast Wave

Go Pressure for Blast Wave = Boltzmann Constant*Freestream Density*((Energy for Blast Wave/Freestream Density)^(1/2))/(Time Required for Blast Wave)

Modified Radial Coordinate Equation for Cylindrical Blast Wave

Go Radial Coordinate = 0.792*Diameter*Drag Coefficient^(1/4)*sqrt(Distance from X-Axis/Diameter)

Simplified Pressure Ratio for Blunt Cylinder Blast Wave

Go Pressure Ratio = 0.0681*Mach Number^2*sqrt(Drag Coefficient)/(Distance from X-Axis/Diameter)

Modified Energy for Cylindrical Blast Wave

Go Modified Energy for Blast Wave = 0.5*Freestream Density*Freestream Velocity^2*Diameter*Drag Coefficient

Radial Coordinate of Cylindrical Blast Wave

Go Radial Coordinate = (Energy for Blast Wave/Freestream Density)^(1/4)*Time Required for Blast Wave^(1/2)

Simplified Pressure Ratio for Blunt Cylinder Blast Wave Formula

Pressure Ratio = 0.0681*Mach Number^2*sqrt(Drag Coefficient)/(Distance from X-Axis/Diameter)
r_p = 0.0681*M^2*sqrt(C_D)/(y/d)

What is boltzmann constant?

The Boltzmann constant (kB or k) is the proportionality factor that relates the average relative kinetic energy of particles in a gas with the thermodynamic temperature of the gas.

How to Calculate Simplified Pressure Ratio for Blunt Cylinder Blast Wave?

Simplified Pressure Ratio for Blunt Cylinder Blast Wave calculator uses Pressure Ratio = 0.0681*Mach Number^2*sqrt(Drag Coefficient)/(Distance from X-Axis/Diameter) to calculate the Pressure Ratio, The Simplified pressure ratio for blunt cylinder blast wave formula is defined as the interrelation between the mach number at infinity , drag coeff, distance from the tip of the body and its base dia. Pressure Ratio is denoted by r_p symbol.

How to calculate Simplified Pressure Ratio for Blunt Cylinder Blast Wave using this online calculator? To use this online calculator for Simplified Pressure Ratio for Blunt Cylinder Blast Wave, enter Mach Number (M), Drag Coefficient (C_D), Distance from X-Axis (y) & Diameter (d) and hit the calculate button. Here is how the Simplified Pressure Ratio for Blunt Cylinder Blast Wave calculation can be explained with given input values -> 3.799624 = 0.0681*5.5^2*sqrt(2.8)/(2.2/2.425).

FAQ

What is Simplified Pressure Ratio for Blunt Cylinder Blast Wave?

The Simplified pressure ratio for blunt cylinder blast wave formula is defined as the interrelation between the mach number at infinity , drag coeff, distance from the tip of the body and its base dia and is represented as r_p = 0.0681*M^2*sqrt(C_D)/(y/d) or Pressure Ratio = 0.0681*Mach Number^2*sqrt(Drag Coefficient)/(Distance from X-Axis/Diameter). Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound, Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water, Distance from X-Axis is defined as the distance from the point where stress is to be computed to XX axis & Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

How to calculate Simplified Pressure Ratio for Blunt Cylinder Blast Wave?

The Simplified pressure ratio for blunt cylinder blast wave formula is defined as the interrelation between the mach number at infinity , drag coeff, distance from the tip of the body and its base dia is calculated using Pressure Ratio = 0.0681*Mach Number^2*sqrt(Drag Coefficient)/(Distance from X-Axis/Diameter). To calculate Simplified Pressure Ratio for Blunt Cylinder Blast Wave, you need Mach Number (M), Drag Coefficient (C_D), Distance from X-Axis (y) & Diameter (d). With our tool, you need to enter the respective value for Mach Number, Drag Coefficient, Distance from X-Axis & Diameter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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