Radial Coordinate for Planar Blast Wave Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radial Coordinate = (Energy for Blast Wave/Freestream Density)^(1/3)*Time Required for Blast Wave^(2/3)
r = (E/ρ)^(1/3)*tsec^(2/3)
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: 1033 Kilojoule --> 1033000 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: 0.021569 Second --> 0.021569 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = (E/ρ)^(1/3)*tsec^(2/3) --> (1033000/412.2)^(1/3)*0.021569^(2/3)
Evaluating ... ...
r = 1.05248872400988
STEP 3: Convert Result to Output's Unit
1.05248872400988 Meter --> No Conversion Required
FINAL ANSWER
1.05248872400988 1.052489 Meter <-- Radial Coordinate
(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
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Planar and Blunt Slab Blast Wave Calculators

Creation Pressure for Planar Blast Wave
​ LaTeX ​ Go Pressure = [BoltZ]*Freestream Density*(Energy for Blast Wave/Freestream Density)^(2/3)*Time Required for Blast Wave^(-2/3)
Energy for Blast Wave
​ LaTeX ​ Go Energy for Blast Wave = 0.5*Freestream Density*Freestream Velocity^2*Drag Coefficient*Area for Blast Wave
Radial Coordinate for Planar Blast Wave
​ LaTeX ​ Go Radial Coordinate = (Energy for Blast Wave/Freestream Density)^(1/3)*Time Required for Blast Wave^(2/3)
Time Required for Blast Wave
​ LaTeX ​ Go Time Required for Blast Wave = Distance from X-Axis/Freestream Velocity

Radial Coordinate for Planar Blast Wave Formula

​LaTeX ​Go
Radial Coordinate = (Energy for Blast Wave/Freestream Density)^(1/3)*Time Required for Blast Wave^(2/3)
r = (E/ρ)^(1/3)*tsec^(2/3)

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 for Planar Blast Wave?

Radial Coordinate for Planar Blast Wave calculator uses Radial Coordinate = (Energy for Blast Wave/Freestream Density)^(1/3)*Time Required for Blast Wave^(2/3) to calculate the Radial Coordinate, Radial Coordinate for Planar Blast Wave formula is defined as a measure of the distance from the center of the explosion to a point in the blast wave, which is a critical parameter in understanding the behavior of blast waves in various environments. Radial Coordinate is denoted by r symbol.

How to calculate Radial Coordinate for Planar Blast Wave using this online calculator? To use this online calculator for Radial Coordinate for Planar 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 for Planar Blast Wave calculation can be explained with given input values -> 1.052489 = (1033000/412.2)^(1/3)*0.021569^(2/3).

FAQ

What is Radial Coordinate for Planar Blast Wave?
Radial Coordinate for Planar Blast Wave formula is defined as a measure of the distance from the center of the explosion to a point in the blast wave, which is a critical parameter in understanding the behavior of blast waves in various environments and is represented as r = (E/ρ)^(1/3)*tsec^(2/3) or Radial Coordinate = (Energy for Blast Wave/Freestream Density)^(1/3)*Time Required for Blast Wave^(2/3). 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 for Planar Blast Wave?
Radial Coordinate for Planar Blast Wave formula is defined as a measure of the distance from the center of the explosion to a point in the blast wave, which is a critical parameter in understanding the behavior of blast waves in various environments is calculated using Radial Coordinate = (Energy for Blast Wave/Freestream Density)^(1/3)*Time Required for Blast Wave^(2/3). To calculate Radial Coordinate for Planar 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 = 0.794*Diameter*Drag Coefficient^(1/3)*(Distance from X-Axis/Diameter)^(2/3)
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