Modified Pressure Equation for Cylindrical Blast Wave Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure = [BoltZ]*Freestream Density*sqrt(pi/8)*Diameter*sqrt(Drag Coefficient)*(Freestream Velocity for Blast Wave^2)/Distance from X-Axis
P = [BoltZ]*ρ*sqrt(pi/8)*d*sqrt(CD)*(U∞ bw^2)/y
This formula uses 2 Constants, 1 Functions, 6 Variables
Constants Used
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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 - (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.
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.
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.
Freestream Velocity for Blast Wave - (Measured in Meter per Second) - Freestream Velocity for Blast Wave is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.
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.
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
Diameter: 2.425 Meter --> 2.425 Meter No Conversion Required
Drag Coefficient: 2.8 --> No Conversion Required
Freestream Velocity for Blast Wave: 0.0512 Meter per Second --> 0.0512 Meter per Second No Conversion Required
Distance from X-Axis: 2.2 Meter --> 2.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = [BoltZ]*ρ*sqrt(pi/8)*d*sqrt(CD)*(U∞ bw^2)/y --> [BoltZ]*412.2*sqrt(pi/8)*2.425*sqrt(2.8)*(0.0512^2)/2.2
Evaluating ... ...
P = 1.72436445393419E-23
STEP 3: Convert Result to Output's Unit
1.72436445393419E-23 Pascal --> No Conversion Required
FINAL ANSWER
1.72436445393419E-23 1.7E-23 Pascal <-- Pressure
(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 Shikha Maurya
Indian Institute of Technology (IIT), Bombay
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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)

Modified Pressure Equation for Cylindrical Blast Wave Formula

Pressure = [BoltZ]*Freestream Density*sqrt(pi/8)*Diameter*sqrt(Drag Coefficient)*(Freestream Velocity for Blast Wave^2)/Distance from X-Axis
P = [BoltZ]*ρ*sqrt(pi/8)*d*sqrt(CD)*(U∞ bw^2)/y

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 Modified Pressure Equation for Cylindrical Blast Wave?

Modified Pressure Equation for Cylindrical Blast Wave calculator uses Pressure = [BoltZ]*Freestream Density*sqrt(pi/8)*Diameter*sqrt(Drag Coefficient)*(Freestream Velocity for Blast Wave^2)/Distance from X-Axis to calculate the Pressure, The Modified pressure equation for cylindrical blast wave formula is defined as the interrelation between the Boltzmann constant, drag coefficient, freestream velocity, base dia, and distance x from the tip. Pressure is denoted by P symbol.

How to calculate Modified Pressure Equation for Cylindrical Blast Wave using this online calculator? To use this online calculator for Modified Pressure Equation for Cylindrical Blast Wave, enter Freestream Density ), Diameter (d), Drag Coefficient (CD), Freestream Velocity for Blast Wave (U∞ bw) & Distance from X-Axis (y) and hit the calculate button. Here is how the Modified Pressure Equation for Cylindrical Blast Wave calculation can be explained with given input values -> 1.7E-23 = [BoltZ]*412.2*sqrt(pi/8)*2.425*sqrt(2.8)*(0.0512^2)/2.2.

FAQ

What is Modified Pressure Equation for Cylindrical Blast Wave?
The Modified pressure equation for cylindrical blast wave formula is defined as the interrelation between the Boltzmann constant, drag coefficient, freestream velocity, base dia, and distance x from the tip and is represented as P = [BoltZ]*ρ*sqrt(pi/8)*d*sqrt(CD)*(U∞ bw^2)/y or Pressure = [BoltZ]*Freestream Density*sqrt(pi/8)*Diameter*sqrt(Drag Coefficient)*(Freestream Velocity for Blast Wave^2)/Distance from X-Axis. Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude, Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere, 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, Freestream Velocity for Blast Wave is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air & Distance from X-Axis is defined as the distance from the point where stress is to be computed to XX axis.
How to calculate Modified Pressure Equation for Cylindrical Blast Wave?
The Modified pressure equation for cylindrical blast wave formula is defined as the interrelation between the Boltzmann constant, drag coefficient, freestream velocity, base dia, and distance x from the tip is calculated using Pressure = [BoltZ]*Freestream Density*sqrt(pi/8)*Diameter*sqrt(Drag Coefficient)*(Freestream Velocity for Blast Wave^2)/Distance from X-Axis. To calculate Modified Pressure Equation for Cylindrical Blast Wave, you need Freestream Density ), Diameter (d), Drag Coefficient (CD), Freestream Velocity for Blast Wave (U∞ bw) & Distance from X-Axis (y). With our tool, you need to enter the respective value for Freestream Density, Diameter, Drag Coefficient, Freestream Velocity for Blast Wave & Distance from X-Axis 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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