Creation Pressure for Planar Blast Wave Calculator

✖Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.ⓘ Freestream Density [ρ_∞]			+10% -10%
✖Energy for Blast Wave is the amount of work done.ⓘ Energy for Blast Wave [E]			+10% -10%
✖Time Required for Blast Wave can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.ⓘ Time Required for Blast Wave [t_sec]			+10% -10%

✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Creation Pressure for Planar Blast Wave [P]

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Formula

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Creation Pressure for Planar Blast Wave

Formula

`"P" = "[BoltZ]"*"ρ"_{"∞"}*("E"/"ρ"_{"∞"})^(2/3)*"t"_{"sec"}^(-2/3)`

Example

`"2.9E^-19Pa"="[BoltZ]"*"412.2kg/m³"*("1200KJ"/"412.2kg/m³")^(2/3)*("8s")^(-2/3)`

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Download Hypersonic Equivalence Principle and Blast-Wave Theory Formulas PDF

Creation Pressure for Planar Blast Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure = [BoltZ]*Freestream Density*(Energy for Blast Wave/Freestream Density)^(2/3)*Time Required for Blast Wave^(-2/3)
P = [BoltZ]*ρ_∞*(E/ρ_∞)^(2/3)*t_sec^(-2/3)
This formula uses 1 Constants, 4 Variables

Constants Used

[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23

Variables Used

Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Freestream Density - (Measured in Kilogram per Cubic Meter) - Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.
Energy for Blast Wave - (Measured in Joule) - Energy for Blast Wave is the amount of work done.
Time Required for Blast Wave - (Measured in Second) - Time Required for Blast Wave can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.

STEP 1: Convert Input(s) to Base Unit

Freestream Density: 412.2 Kilogram per Cubic Meter --> 412.2 Kilogram per Cubic Meter No Conversion Required
Energy for Blast Wave: 1200 Kilojoule --> 1200000 Joule (Check conversion here)
Time Required for Blast Wave: 8 Second --> 8 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = [BoltZ]*ρ_∞*(E/ρ_∞)^(2/3)*t_sec^(-2/3) --> [BoltZ]*412.2*(1200000/412.2)^(2/3)*8^(-2/3)

Evaluating ... ...

P = 2.900770033014E-19

STEP 3: Convert Result to Output's Unit

2.900770033014E-19 Pascal --> No Conversion Required

FINAL ANSWER

2.900770033014E-19 ≈ 2.9E-19 Pascal <-- Pressure

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Hypersonic Equivalence Principle and Blast-Wave Theory » Planar and Blunt Slab Blast Wave » Creation Pressure for Planar Blast Wave

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

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< 8 Planar and Blunt Slab Blast Wave Calculators

Creation Pressure for Planar Blast Wave

Go Pressure = [BoltZ]*Freestream Density*(Energy for Blast Wave/Freestream Density)^(2/3)*Time Required for Blast Wave^(-2/3)

Energy for Blast Wave

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

Pressure Ratio for Blunt Slab Blast Wave

Go Pressure Ratio = 0.127*Mach Number^2*Drag Coefficient^(2/3)*(Distance from X-Axis/Diameter)^(-2/3)

Coefficient of Drag Equation using Energy Released from Blast Wave

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

Radial Coordinate of Blunt Slab Blast Wave

Go Radial Coordinate = 0.794*Diameter*Drag Coefficient^(1/3)*(Distance from X-Axis/Diameter)^(2/3)

Blunt-Nosed Flat Plate Pressure Ratio (First Approximation)

Go Pressure Ratio = 0.121*Mach Number^2*(Drag Coefficient/(Distance from X-Axis/Diameter))^(2/3)

Radial Coordinate for Planar Blast Wave

Go Radial Coordinate = (Energy for Blast Wave/Freestream Density)^(1/3)*Time Required for Blast Wave^(2/3)

Time Required for Blast Wave

Go Time Required for Blast Wave = Distance from X-Axis/Freestream Velocity for Blast Wave

Creation Pressure for Planar Blast Wave Formula

Pressure = [BoltZ]*Freestream Density*(Energy for Blast Wave/Freestream Density)^(2/3)*Time Required for Blast Wave^(-2/3)
P = [BoltZ]*ρ_∞*(E/ρ_∞)^(2/3)*t_sec^(-2/3)

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 Creation Pressure for Planar Blast Wave?

Creation Pressure for Planar Blast Wave calculator uses Pressure = [BoltZ]*Freestream Density*(Energy for Blast Wave/Freestream Density)^(2/3)*Time Required for Blast Wave^(-2/3) to calculate the Pressure, The Creation pressure for planar blast wave formula is due to constant specific entropy particle production, it vanishes for a fluid where the sum of the energy density and the isotropic pressure is zero. Pressure is denoted by P symbol.

How to calculate Creation Pressure for Planar Blast Wave using this online calculator? To use this online calculator for Creation Pressure for Planar Blast Wave, enter Freestream Density (ρ_∞), Energy for Blast Wave (E) & Time Required for Blast Wave (t_sec) and hit the calculate button. Here is how the Creation Pressure for Planar Blast Wave calculation can be explained with given input values -> 2.9E-19 = [BoltZ]*412.2*(1200000/412.2)^(2/3)*8^(-2/3).

FAQ

What is Creation Pressure for Planar Blast Wave?

The Creation pressure for planar blast wave formula is due to constant specific entropy particle production, it vanishes for a fluid where the sum of the energy density and the isotropic pressure is zero and is represented as P = [BoltZ]*ρ_∞*(E/ρ_∞)^(2/3)*t_sec^(-2/3) or Pressure = [BoltZ]*Freestream Density*(Energy for Blast Wave/Freestream Density)^(2/3)*Time Required for Blast Wave^(-2/3). Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude, Energy for Blast Wave is the amount of work done & Time Required for Blast Wave can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.

How to calculate Creation Pressure for Planar Blast Wave?

The Creation pressure for planar blast wave formula is due to constant specific entropy particle production, it vanishes for a fluid where the sum of the energy density and the isotropic pressure is zero is calculated using Pressure = [BoltZ]*Freestream Density*(Energy for Blast Wave/Freestream Density)^(2/3)*Time Required for Blast Wave^(-2/3). To calculate Creation Pressure for Planar Blast Wave, you need Freestream Density (ρ_∞), Energy for Blast Wave (E) & Time Required for Blast Wave (t_sec). With our tool, you need to enter the respective value for Freestream Density, Energy for Blast Wave & Time Required for Blast Wave 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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