Radial Coordinate for Planar Blast Wave Calculator

✖Energy for Blast Wave is the amount of work done.ⓘ Energy for Blast Wave [E]			+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%
✖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%

✖Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.ⓘ Radial Coordinate for Planar Blast Wave [r]

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Formula

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Radial Coordinate for Planar Blast Wave

Formula

`"r" = ("E"/"ρ"_{"∞"})^(1/3)*"t"_{"sec"}^(2/3)`

Example

`"57.11512m"=("1200KJ"/"412.2kg/m³")^(1/3)*("8s")^(2/3)`

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Download Hypersonic Equivalence Principle and Blast-Wave Theory Formulas PDF PDF Image

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)*t_sec^(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: 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_∞)^(1/3)*t_sec^(2/3) --> (1200000/412.2)^(1/3)*8^(2/3)

Evaluating ... ...

r = 57.115117887458

STEP 3: Convert Result to Output's Unit

57.115117887458 Meter --> No Conversion Required

FINAL ANSWER

57.115117887458 ≈ 57.11512 Meter <-- Radial Coordinate

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Hypersonic Equivalence Principle and Blast-Wave Theory » Planar and Blunt Slab Blast Wave » Radial Coordinate for Planar Blast Wave

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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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< 8 Planar and Blunt Slab Blast Wave Calculators

Creation Pressure for Planar Blast Wave

Go Pressure = [BoltZ]*Freestream Density*(Energy for Blast Wave/Freestream Density)^(2/3)*Time Required for Blast Wave^(-2/3)

Energy for Blast Wave

Go Energy for Blast Wave = 0.5*Freestream Density*Freestream Velocity^2*Drag Coefficient*Area for Blast Wave

Pressure Ratio for Blunt Slab Blast Wave

Go Pressure Ratio = 0.127*Mach Number^2*Drag Coefficient^(2/3)*(Distance from X-Axis/Diameter)^(-2/3)

Coefficient of Drag Equation using Energy Released from Blast Wave

Go Drag Coefficient = Energy for Blast Wave/(0.5*Freestream Density*Freestream Velocity^2*Diameter)

Radial Coordinate of Blunt Slab Blast Wave

Go Radial Coordinate = 0.794*Diameter*Drag Coefficient^(1/3)*(Distance from X-Axis/Diameter)^(2/3)

Blunt-Nosed Flat Plate Pressure Ratio (First Approximation)

Go Pressure Ratio = 0.121*Mach Number^2*(Drag Coefficient/(Distance from X-Axis/Diameter))^(2/3)

Radial Coordinate for Planar Blast Wave

Go Radial Coordinate = (Energy for Blast Wave/Freestream Density)^(1/3)*Time Required for Blast Wave^(2/3)

Time Required for Blast Wave

Go Time Required for Blast Wave = Distance from X-Axis/Freestream Velocity for Blast Wave

Radial Coordinate for Planar Blast Wave Formula

Radial Coordinate = (Energy for Blast Wave/Freestream Density)^(1/3)*Time Required for Blast Wave^(2/3)
r = (E/ρ_∞)^(1/3)*t_sec^(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, The Radial coordinate for planar 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 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 (ρ_∞) & Time Required for Blast Wave (t_sec) and hit the calculate button. Here is how the Radial Coordinate for Planar Blast Wave calculation can be explained with given input values -> 57.11893 = (1200000/412.2)^(1/3)*8^(2/3).

FAQ

What is Radial Coordinate for Planar Blast Wave?

The Radial coordinate for planar blast wave formula is defined as the interrelation between Energy released, time, and free stream density and is represented as r = (E/ρ_∞)^(1/3)*t_sec^(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?

The Radial coordinate for planar 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)^(1/3)*Time Required for Blast Wave^(2/3). To calculate Radial Coordinate for Planar Blast Wave, you need Energy for Blast Wave (E), Freestream Density (ρ_∞) & Time Required for Blast Wave (t_sec). 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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