Pressure for Cylindrical Blast Wave Calculator

✖The Boltzmann Constant 1 is the Boltzmann constant used for cylindrical blast waves in hypersonic blast theory.ⓘ Boltzmann Constant [k_b1]			+10% -10%
✖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 for Blast Wave is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure for Cylindrical Blast Wave [P_cyl]

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Pressure for Cylindrical Blast Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure for Blast Wave = Boltzmann Constant*Freestream Density*((Energy for Blast Wave/Freestream Density)^(1/2))/(Time Required for Blast Wave)
P_cyl = k_b1*ρ_∞*((E/ρ_∞)^(1/2))/(t_sec)
This formula uses 5 Variables

Variables Used

Pressure for Blast Wave - (Measured in Pascal) - Pressure for Blast Wave is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Boltzmann Constant - The Boltzmann Constant 1 is the Boltzmann constant used for cylindrical blast waves in hypersonic blast theory.
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

Boltzmann Constant: 0.417963 --> No Conversion Required
Freestream Density: 412.2 Kilogram per Cubic Meter --> 412.2 Kilogram per Cubic Meter No Conversion Required
Energy for Blast Wave: 1033 Kilojoule --> 1033000 Joule (Check conversion here)
Time Required for Blast Wave: 0.021569 Second --> 0.021569 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_cyl = k_b1*ρ_∞*((E/ρ_∞)^(1/2))/(t_sec) --> 0.417963*412.2*((1033000/412.2)^(1/2))/(0.021569)

Evaluating ... ...

P_cyl = 399863.701390602

STEP 3: Convert Result to Output's Unit

399863.701390602 Pascal --> No Conversion Required

FINAL ANSWER

399863.701390602 ≈ 399863.7 Pascal <-- Pressure for Blast Wave

(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 for Cylindrical Blast Wave

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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K J Somaiya College of Engineering (K J Somaiya), Mumbai

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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 for Cylindrical Blast Wave Formula

LaTeX Go

Pressure for Blast Wave = Boltzmann Constant*Freestream Density*((Energy for Blast Wave/Freestream Density)^(1/2))/(Time Required for Blast Wave)
P_cyl = k_b1*ρ_∞*((E/ρ_∞)^(1/2))/(t_sec)

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 Pressure for Cylindrical Blast Wave?

Pressure for Cylindrical Blast Wave calculator uses Pressure for Blast Wave = Boltzmann Constant*Freestream Density*((Energy for Blast Wave/Freestream Density)^(1/2))/(Time Required for Blast Wave) to calculate the Pressure for Blast Wave, Pressure for Cylindrical Blast Wave formula is defined as a measure of the pressure exerted by a cylindrical blast wave, which is a type of shockwave that propagates through a medium, typically air, and is characterized by its high velocity and pressure. It is used to model and analyze the effects of explosions and blasts. Pressure for Blast Wave is denoted by P_cyl symbol.

How to calculate Pressure for Cylindrical Blast Wave using this online calculator? To use this online calculator for Pressure for Cylindrical Blast Wave, enter Boltzmann Constant (k_b1), Freestream Density (ρ_∞), Energy for Blast Wave (E) & Time Required for Blast Wave (t_sec) and hit the calculate button. Here is how the Pressure for Cylindrical Blast Wave calculation can be explained with given input values -> 399863.7 = 0.417963*412.2*((1033000/412.2)^(1/2))/(0.021569).

FAQ

What is Pressure for Cylindrical Blast Wave?

Pressure for Cylindrical Blast Wave formula is defined as a measure of the pressure exerted by a cylindrical blast wave, which is a type of shockwave that propagates through a medium, typically air, and is characterized by its high velocity and pressure. It is used to model and analyze the effects of explosions and blasts and is represented as P_cyl = k_b1*ρ_∞*((E/ρ_∞)^(1/2))/(t_sec) or Pressure for Blast Wave = Boltzmann Constant*Freestream Density*((Energy for Blast Wave/Freestream Density)^(1/2))/(Time Required for Blast Wave). The Boltzmann Constant 1 is the Boltzmann constant used for cylindrical blast waves in hypersonic blast theory, 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 Pressure for Cylindrical Blast Wave?

Pressure for Cylindrical Blast Wave formula is defined as a measure of the pressure exerted by a cylindrical blast wave, which is a type of shockwave that propagates through a medium, typically air, and is characterized by its high velocity and pressure. It is used to model and analyze the effects of explosions and blasts is calculated using Pressure for Blast Wave = Boltzmann Constant*Freestream Density*((Energy for Blast Wave/Freestream Density)^(1/2))/(Time Required for Blast Wave). To calculate Pressure for Cylindrical Blast Wave, you need Boltzmann Constant (k_b1), 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 Boltzmann Constant, 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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