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Pressure for Cylindrical Blast Wave Formula

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Pressure for Blast Wave is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Check FAQs

P cyl = k b1 \cdot ρ ∞ \cdot \frac{{(\frac{E}{ρ ∞})}^{\frac{1}{2}}}{t sec}

P_cyl - Pressure for Blast Wave?k_b1 - Boltzmann Constant?ρ_∞ - Freestream Density?E - Energy for Blast Wave?t_sec - Time Required for Blast Wave?

Pressure for Cylindrical Blast Wave Example

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Here is how the Pressure for Cylindrical Blast Wave equation looks like with Values.

Here is how the Pressure for Cylindrical Blast Wave equation looks like with Units.

Here is how the Pressure for Cylindrical Blast Wave equation looks like.

399863.7014 = 0.418 \cdot 412.2 \cdot \frac{{(\frac{1033}{412.2})}^{\frac{1}{2}}}{0.0216}

399863.7014Pa = 0.418 \cdot 412.2kg/m³ \cdot \frac{{(\frac{1033KJ}{412.2kg/m³})}^{\frac{1}{2}}}{0.0216s}

399863.7014 = 0.418 \cdot 412.2 \cdot \frac{{(\frac{1033}{412.2})}^{\frac{1}{2}}}{0.0216}

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Pressure for Cylindrical Blast Wave Solution

Follow our step by step solution on how to calculate Pressure for Cylindrical Blast Wave?

FIRST Step Consider the formula

P cyl = k b1 \cdot ρ ∞ \cdot \frac{{(\frac{E}{ρ ∞})}^{\frac{1}{2}}}{t sec}

Next Step Substitute values of Variables

∴

P cyl = 0.418 \cdot 412.2kg/m³ \cdot \frac{{(\frac{1033KJ}{412.2kg/m³})}^{\frac{1}{2}}}{0.0216s}

Next Step Convert Units

∴

P cyl = 0.418 \cdot 412.2kg/m³ \cdot \frac{{(\frac{1E+6J}{412.2kg/m³})}^{\frac{1}{2}}}{0.0216s}

Next Step Prepare to Evaluate

∴

P cyl = 0.418 \cdot 412.2 \cdot \frac{{(\frac{1E+6}{412.2})}^{\frac{1}{2}}}{0.0216}

Next Step Evaluate

∴

P cyl = 399863.701390602Pa

LAST Step Rounding Answer

∴

P cyl = 399863.7014Pa

Pressure for Cylindrical Blast Wave Formula Elements

Variables

Pressure for Blast Wave

Pressure for Blast Wave is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: P_cyl

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure for Blast Wave

Boltzmann Constant

The Boltzmann Constant 1 is the Boltzmann constant used for cylindrical blast waves in hypersonic blast theory.

Symbol: k_b1

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Boltzmann Constant

Freestream Density

Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.

Symbol: ρ_∞

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Freestream Density

Energy for Blast Wave

Energy for Blast Wave is the amount of work done.

Symbol: E

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Energy for Blast Wave

Time Required for Blast Wave

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.

Symbol: t_sec

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Required for Blast Wave

Other formulas in Cylindrical Blast Wave category

Go Boltzmann Constant for Cylindrical Blast Wave

k b1 = \frac{{y sp}^{2 \cdot \frac{y sp - 1}{2 - y sp}}}{2^{\frac{4 - y sp}{2 - y sp}}}

Go Radial Coordinate of Cylindrical Blast Wave

r = {(\frac{E}{ρ ∞})}^{\frac{1}{4}} \cdot {t sec}^{\frac{1}{2}}

Go Modified Pressure Equation for Cylindrical Blast Wave

P mod = [BoltZ] \cdot ρ ∞ \cdot \sqrt{\frac{π}{8}} \cdot d \cdot \sqrt{C D} \cdot \frac{{V ∞}^{2}}{y}

Go Simplified Pressure Ratio for Blunt Cylinder Blast Wave

r p = 0.0681 \cdot M^{2} \cdot \frac{\sqrt{C D}}{\frac{y}{d}}

How to Evaluate Pressure for Cylindrical Blast Wave?

Pressure for Cylindrical Blast Wave evaluator uses Pressure for Blast Wave = Boltzmann Constant*Freestream Density*((Energy for Blast Wave/Freestream Density)^(1/2))/(Time Required for Blast Wave) to evaluate the Pressure for Blast Wave, Pressure for Cylindrical Blast Wave formula is defined as a measure of the pressure exerted by a cylindrical blast wave, which is a type of shockwave that propagates through a medium, typically air, and is characterized by its high velocity and pressure. It is used to model and analyze the effects of explosions and blasts. Pressure for Blast Wave is denoted by P_cyl symbol.

How to evaluate Pressure for Cylindrical Blast Wave using this online evaluator? To use this online evaluator for Pressure for Cylindrical Blast Wave, enter Boltzmann Constant (k_b1), Freestream Density (ρ_∞), Energy for Blast Wave (E) & Time Required for Blast Wave (t_sec) and hit the calculate button.

FAQs on Pressure for Cylindrical Blast Wave

What is the formula to find Pressure for Cylindrical Blast Wave?

The formula of Pressure for Cylindrical Blast Wave is expressed as Pressure for Blast Wave = Boltzmann Constant*Freestream Density*((Energy for Blast Wave/Freestream Density)^(1/2))/(Time Required for Blast Wave). Here is an example- 399863.7 = 0.417963*412.2*((1033000/412.2)^(1/2))/(0.021569).

How to calculate Pressure for Cylindrical Blast Wave?

With Boltzmann Constant (k_b1), Freestream Density (ρ_∞), Energy for Blast Wave (E) & Time Required for Blast Wave (t_sec) we can find Pressure for Cylindrical Blast Wave using the formula - Pressure for Blast Wave = Boltzmann Constant*Freestream Density*((Energy for Blast Wave/Freestream Density)^(1/2))/(Time Required for Blast Wave).

Can the Pressure for Cylindrical Blast Wave be negative?

Yes, the Pressure for Cylindrical Blast Wave, measured in Pressure can be negative.

Which unit is used to measure Pressure for Cylindrical Blast Wave?

Pressure for Cylindrical Blast Wave is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Pressure for Cylindrical Blast Wave can be measured.

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Pressure for Cylindrical Blast Wave Formula

Pressure for Cylindrical Blast Wave Example

Pressure for Cylindrical Blast Wave Solution

Pressure for Cylindrical Blast Wave Formula Elements

Other formulas in Cylindrical Blast Wave category

How to Evaluate Pressure for Cylindrical Blast Wave?

FAQs on Pressure for Cylindrical Blast Wave

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