Pressure Ratio for Blunt Slab 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.ⓘ Pressure Ratio for Blunt Slab Blast Wave [r_p]

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Pressure Ratio for Blunt Slab Blast Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Ratio = 0.127*Mach Number^2*Drag Coefficient^(2/3)*(Distance from X-Axis/Diameter)^(-2/3)
r_p = 0.127*M^2*C_D^(2/3)*(y/d)^(-2/3)
This formula uses 5 Variables

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: 0.19866 --> 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 = 0.127*M^2*C_D^(2/3)*(y/d)^(-2/3) --> 0.127*5.5^2*0.19866^(2/3)*(2.2/2.425)^(-2/3)

Evaluating ... ...

r_p = 1.39571076690075

STEP 3: Convert Result to Output's Unit

1.39571076690075 --> No Conversion Required

FINAL ANSWER

1.39571076690075 ≈ 1.395711 <-- 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 » Pressure Ratio for Blunt Slab Blast Wave

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Indian Institute of Technology (IIT), Bombay

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< Cylindrical Blast Wave Calculators

Modified Pressure Equation for Cylindrical Blast Wave

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

Boltzmann Constant for Cylindrical Blast Wave

LaTeX 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

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

Radial Coordinate of Cylindrical Blast Wave

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

Pressure Ratio for Blunt Slab Blast Wave Formula

LaTeX Go

Pressure Ratio = 0.127*Mach Number^2*Drag Coefficient^(2/3)*(Distance from X-Axis/Diameter)^(-2/3)
r_p = 0.127*M^2*C_D^(2/3)*(y/d)^(-2/3)

What is blast wave?

In fluid dynamics, a blast wave is the increased pressure and flow resulting from the deposition of a large amount of energy in a small, very localised volume.

How to Calculate Pressure Ratio for Blunt Slab Blast Wave?

Pressure Ratio for Blunt Slab Blast Wave calculator uses Pressure Ratio = 0.127*Mach Number^2*Drag Coefficient^(2/3)*(Distance from X-Axis/Diameter)^(-2/3) to calculate the Pressure Ratio, Pressure Ratio for Blunt Slab Blast Wave formula is defined as a dimensionless quantity that characterizes the intensity of a blast wave generated by the detonation of an explosive charge in a hypersonic flow, providing a measure of the pressure exerted on a target surface. Pressure Ratio is denoted by r_p symbol.

How to calculate Pressure Ratio for Blunt Slab Blast Wave using this online calculator? To use this online calculator for Pressure Ratio for Blunt Slab 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 Pressure Ratio for Blunt Slab Blast Wave calculation can be explained with given input values -> 1.395711 = 0.127*5.5^2*0.19866^(2/3)*(2.2/2.425)^(-2/3).

FAQ

What is Pressure Ratio for Blunt Slab Blast Wave?

Pressure Ratio for Blunt Slab Blast Wave formula is defined as a dimensionless quantity that characterizes the intensity of a blast wave generated by the detonation of an explosive charge in a hypersonic flow, providing a measure of the pressure exerted on a target surface and is represented as r_p = 0.127*M^2*C_D^(2/3)*(y/d)^(-2/3) or Pressure Ratio = 0.127*Mach Number^2*Drag Coefficient^(2/3)*(Distance from X-Axis/Diameter)^(-2/3). 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 Pressure Ratio for Blunt Slab Blast Wave?

Pressure Ratio for Blunt Slab Blast Wave formula is defined as a dimensionless quantity that characterizes the intensity of a blast wave generated by the detonation of an explosive charge in a hypersonic flow, providing a measure of the pressure exerted on a target surface is calculated using Pressure Ratio = 0.127*Mach Number^2*Drag Coefficient^(2/3)*(Distance from X-Axis/Diameter)^(-2/3). To calculate Pressure Ratio for Blunt Slab 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.

How many ways are there to calculate Pressure Ratio?

In this formula, Pressure Ratio uses Mach Number, Drag Coefficient, Distance from X-Axis & Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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