Energy for Blast Wave Calculator

✖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%
✖The Freestream Velocity 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.ⓘ Freestream Velocity [V_∞]			+10% -10%
✖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.ⓘ Drag Coefficient [C_D]			+10% -10%
✖The Area for Blast wave is the amount of two-dimensional space taken up by an object.ⓘ Area for Blast Wave [A]			+10% -10%

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

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Formula

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Energy for Blast Wave

Formula

`"E" = 0.5*"ρ"_{"∞"}*"V"_{"∞"}^2*"C"_{"D"}*"A"`

Example

`"1200.788KJ"=0.5*"412.2kg/m³"*("102m/s")^2*"2.8"*"0.2m²"`

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Download Hypersonic Equivalence Principle and Blast-Wave Theory Formulas PDF

Energy for Blast Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy for Blast Wave = 0.5*Freestream Density*Freestream Velocity^2*Drag Coefficient*Area for Blast Wave
E = 0.5*ρ_∞*V_∞^2*C_D*A
This formula uses 5 Variables

Variables Used

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.
Freestream Velocity - (Measured in Meter per Second) - The Freestream Velocity 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.
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.
Area for Blast Wave - (Measured in Square Meter) - The Area for Blast wave is the amount of two-dimensional space taken up by an object.

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
Freestream Velocity: 102 Meter per Second --> 102 Meter per Second No Conversion Required
Drag Coefficient: 2.8 --> No Conversion Required
Area for Blast Wave: 0.2 Square Meter --> 0.2 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = 0.5*ρ_∞*V_∞^2*C_D*A --> 0.5*412.2*102^2*2.8*0.2

Evaluating ... ...

E = 1200788.064

STEP 3: Convert Result to Output's Unit

1200788.064 Joule -->1200.788064 Kilojoule (Check conversion here)

FINAL ANSWER

1200.788064 ≈ 1200.788 Kilojoule <-- Energy for Blast Wave

(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 » Energy for Blast Wave

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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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

Energy for Blast Wave Formula

Energy for Blast Wave = 0.5*Freestream Density*Freestream Velocity^2*Drag Coefficient*Area for Blast Wave
E = 0.5*ρ_∞*V_∞^2*C_D*A

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 Energy for Blast Wave?

Energy for Blast Wave calculator uses Energy for Blast Wave = 0.5*Freestream Density*Freestream Velocity^2*Drag Coefficient*Area for Blast Wave to calculate the Energy for Blast Wave, The Energy for blast wave formula is defined as the product of half of density and velocity square of free stream, drag coefficient and base area of the cylinder. Energy for Blast Wave is denoted by E symbol.

How to calculate Energy for Blast Wave using this online calculator? To use this online calculator for Energy for Blast Wave, enter Freestream Density (ρ_∞), Freestream Velocity (V_∞), Drag Coefficient (C_D) & Area for Blast Wave (A) and hit the calculate button. Here is how the Energy for Blast Wave calculation can be explained with given input values -> 1.200788 = 0.5*412.2*102^2*2.8*0.2.

FAQ

What is Energy for Blast Wave?

The Energy for blast wave formula is defined as the product of half of density and velocity square of free stream, drag coefficient and base area of the cylinder and is represented as E = 0.5*ρ_∞*V_∞^2*C_D*A or Energy for Blast Wave = 0.5*Freestream Density*Freestream Velocity^2*Drag Coefficient*Area for Blast Wave. Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude, The Freestream Velocity 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, 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 & The Area for Blast wave is the amount of two-dimensional space taken up by an object.

How to calculate Energy for Blast Wave?

The Energy for blast wave formula is defined as the product of half of density and velocity square of free stream, drag coefficient and base area of the cylinder is calculated using Energy for Blast Wave = 0.5*Freestream Density*Freestream Velocity^2*Drag Coefficient*Area for Blast Wave. To calculate Energy for Blast Wave, you need Freestream Density (ρ_∞), Freestream Velocity (V_∞), Drag Coefficient (C_D) & Area for Blast Wave (A). With our tool, you need to enter the respective value for Freestream Density, Freestream Velocity, Drag Coefficient & Area 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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