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)
Pcyl = kb1*ρ*((E/ρ)^(1/2))/(tsec)
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: 0.8 --> No Conversion Required
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
Pcyl = kb1*((E/ρ)^(1/2))/(tsec) --> 0.8*412.2*((1200000/412.2)^(1/2))/(8)
Evaluating ... ...
Pcyl = 2224.05035914208
STEP 3: Convert Result to Output's Unit
2224.05035914208 Pascal --> No Conversion Required
FINAL ANSWER
2224.05035914208 2224.05 Pascal <-- Pressure for Blast Wave
(Calculation completed in 00.004 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has created this Calculator and 300+ more calculators!
Verified by Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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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)

Pressure for Cylindrical Blast Wave Formula

Pressure for Blast Wave = Boltzmann Constant*Freestream Density*((Energy for Blast Wave/Freestream Density)^(1/2))/(Time Required for Blast Wave)
Pcyl = kb1*ρ*((E/ρ)^(1/2))/(tsec)

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, The pressure for cylindrical blast wave formula is defined as the interrelation between Boltzmann constant, free stream density,energy, and time. Pressure for Blast Wave is denoted by Pcyl 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 (kb1), Freestream Density ), Energy for Blast Wave (E) & Time Required for Blast Wave (tsec) and hit the calculate button. Here is how the Pressure for Cylindrical Blast Wave calculation can be explained with given input values -> 2224.05 = 0.8*412.2*((1200000/412.2)^(1/2))/(8).

FAQ

What is Pressure for Cylindrical Blast Wave?
The pressure for cylindrical blast wave formula is defined as the interrelation between Boltzmann constant, free stream density,energy, and time and is represented as Pcyl = kb1*((E/ρ)^(1/2))/(tsec) 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?
The pressure for cylindrical blast wave formula is defined as the interrelation between Boltzmann constant, free stream density,energy, and time 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 (kb1), Freestream Density ), Energy for Blast Wave (E) & Time Required for Blast Wave (tsec). 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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