Radial Coordinate of Cylindrical Blast Wave Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radial Coordinate = (Energy for Blast Wave/Freestream Density)^(1/4)*Time Required for Blast Wave^(1/2)
r = (E/ρ)^(1/4)*tsec^(1/2)
This formula uses 4 Variables
Variables Used
Radial Coordinate - (Measured in Meter) - Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.
Energy for Blast Wave - (Measured in Joule) - Energy for Blast Wave is the amount of work done.
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.
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
Energy for Blast Wave: 1200 Kilojoule --> 1200000 Joule (Check conversion here)
Freestream Density: 412.2 Kilogram per Cubic Meter --> 412.2 Kilogram per Cubic Meter No Conversion Required
Time Required for Blast Wave: 8 Second --> 8 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = (E/ρ)^(1/4)*tsec^(1/2) --> (1200000/412.2)^(1/4)*8^(1/2)
Evaluating ... ...
r = 20.776065611853
STEP 3: Convert Result to Output's Unit
20.776065611853 Meter --> No Conversion Required
FINAL ANSWER
20.776065611853 20.77607 Meter <-- Radial Coordinate
(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!
Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

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)

Radial Coordinate of Cylindrical Blast Wave Formula

Radial Coordinate = (Energy for Blast Wave/Freestream Density)^(1/4)*Time Required for Blast Wave^(1/2)
r = (E/ρ)^(1/4)*tsec^(1/2)

What is a 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 Radial Coordinate of Cylindrical Blast Wave?

Radial Coordinate of Cylindrical Blast Wave calculator uses Radial Coordinate = (Energy for Blast Wave/Freestream Density)^(1/4)*Time Required for Blast Wave^(1/2) to calculate the Radial Coordinate, The Radial coordinate of cylindrical blast wave formula is defined as the interrelation between Energy released, time and free stream density. Radial Coordinate is denoted by r symbol.

How to calculate Radial Coordinate of Cylindrical Blast Wave using this online calculator? To use this online calculator for Radial Coordinate of Cylindrical Blast Wave, enter Energy for Blast Wave (E), Freestream Density ) & Time Required for Blast Wave (tsec) and hit the calculate button. Here is how the Radial Coordinate of Cylindrical Blast Wave calculation can be explained with given input values -> 20.7771 = (1200000/412.2)^(1/4)*8^(1/2).

FAQ

What is Radial Coordinate of Cylindrical Blast Wave?
The Radial coordinate of cylindrical blast wave formula is defined as the interrelation between Energy released, time and free stream density and is represented as r = (E/ρ)^(1/4)*tsec^(1/2) or Radial Coordinate = (Energy for Blast Wave/Freestream Density)^(1/4)*Time Required for Blast Wave^(1/2). Energy for Blast Wave is the amount of work done, Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude & 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 Radial Coordinate of Cylindrical Blast Wave?
The Radial coordinate of cylindrical blast wave formula is defined as the interrelation between Energy released, time and free stream density is calculated using Radial Coordinate = (Energy for Blast Wave/Freestream Density)^(1/4)*Time Required for Blast Wave^(1/2). To calculate Radial Coordinate of Cylindrical Blast Wave, you need Energy for Blast Wave (E), Freestream Density ) & Time Required for Blast Wave (tsec). With our tool, you need to enter the respective value for Energy for Blast Wave, Freestream Density & 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.
How many ways are there to calculate Radial Coordinate?
In this formula, Radial Coordinate uses Energy for Blast Wave, Freestream Density & Time Required for Blast Wave. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Radial Coordinate = 0.792*Diameter*Drag Coefficient^(1/4)*sqrt(Distance from X-Axis/Diameter)
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