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Modified Pressure Equation for Cylindrical Blast Wave Formula

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

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

P_mod - Modified Pressure?ρ_∞ - Freestream Density?d - Diameter?C_D - Drag Coefficient?V_∞ - Freestream Velocity?y - Distance from X-Axis?[BoltZ] - Boltzmann constant?π - Archimedes' constant?

Modified Pressure Equation for Cylindrical Blast Wave Example

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

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

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

1.8E-17 = 1.4E-23 \cdot 412.2 \cdot \sqrt{\frac{3.1416}{8}} \cdot 2.425 \cdot \sqrt{0.1987} \cdot \frac{102^{2}}{2.2}

1.8E-17Pa = 1.4E-23J/K \cdot 412.2kg/m³ \cdot \sqrt{\frac{3.1416}{8}} \cdot 2.425m \cdot \sqrt{0.1987} \cdot \frac{{102m/s}^{2}}{2.2m}

1.8E-17 = 1.4E-23 \cdot 412.2 \cdot \sqrt{\frac{3.1416}{8}} \cdot 2.425 \cdot \sqrt{0.1987} \cdot \frac{102^{2}}{2.2}

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Modified Pressure Equation for Cylindrical Blast Wave Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P mod = [BoltZ] \cdot 412.2kg/m³ \cdot \sqrt{\frac{π}{8}} \cdot 2.425m \cdot \sqrt{0.1987} \cdot \frac{{102m/s}^{2}}{2.2m}

Next Step Substitute values of Constants

∴

P mod = 1.4E-23J/K \cdot 412.2kg/m³ \cdot \sqrt{\frac{3.1416}{8}} \cdot 2.425m \cdot \sqrt{0.1987} \cdot \frac{{102m/s}^{2}}{2.2m}

Next Step Prepare to Evaluate

∴

P mod = 1.4E-23 \cdot 412.2 \cdot \sqrt{\frac{3.1416}{8}} \cdot 2.425 \cdot \sqrt{0.1987} \cdot \frac{102^{2}}{2.2}

Next Step Evaluate

∴

P mod = 1.82291191328526E-17Pa

LAST Step Rounding Answer

∴

P mod = 1.8E-17Pa

Modified Pressure Equation for Cylindrical Blast Wave Formula Elements

Variables

Constants

Functions

Modified Pressure

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

Symbol: P_mod

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Modified Pressure

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

Diameter

Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter

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.

Symbol: C_D

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Drag Coefficient

Freestream Velocity

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.

Symbol: V_∞

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Freestream Velocity

Distance from X-Axis

Distance from X-Axis is defined as the distance from the point where stress is to be computed to XX axis.

Symbol: y

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance from X-Axis

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Cylindrical Blast Wave category

Go Pressure for Cylindrical Blast Wave

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

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 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 Modified Pressure Equation for Cylindrical Blast Wave?

Modified Pressure Equation for Cylindrical Blast Wave evaluator uses Modified Pressure = [BoltZ]*Freestream Density*sqrt(pi/8)*Diameter*sqrt(Drag Coefficient)*(Freestream Velocity^2)/Distance from X-Axis to evaluate the Modified Pressure, Modified Pressure Equation for Cylindrical Blast Wave formula is defined as a mathematical representation of the pressure exerted by a cylindrical blast wave, taking into account the density of the surrounding medium, the diameter of the blast, and the velocity of the blast wave. Modified Pressure is denoted by P_mod symbol.

How to evaluate Modified Pressure Equation for Cylindrical Blast Wave using this online evaluator? To use this online evaluator for Modified Pressure Equation for Cylindrical Blast Wave, enter Freestream Density (ρ_∞), Diameter (d), Drag Coefficient (C_D), Freestream Velocity (V_∞) & Distance from X-Axis (y) and hit the calculate button.

FAQs on Modified Pressure Equation for Cylindrical Blast Wave

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

The formula of Modified Pressure Equation for Cylindrical Blast Wave is expressed as Modified Pressure = [BoltZ]*Freestream Density*sqrt(pi/8)*Diameter*sqrt(Drag Coefficient)*(Freestream Velocity^2)/Distance from X-Axis. Here is an example- 1.8E-17 = [BoltZ]*412.2*sqrt(pi/8)*2.425*sqrt(0.19866)*(102^2)/2.2.

How to calculate Modified Pressure Equation for Cylindrical Blast Wave?

With Freestream Density (ρ_∞), Diameter (d), Drag Coefficient (C_D), Freestream Velocity (V_∞) & Distance from X-Axis (y) we can find Modified Pressure Equation for Cylindrical Blast Wave using the formula - Modified Pressure = [BoltZ]*Freestream Density*sqrt(pi/8)*Diameter*sqrt(Drag Coefficient)*(Freestream Velocity^2)/Distance from X-Axis. This formula also uses Boltzmann constant, Archimedes' constant and Square Root (sqrt) function(s).

Can the Modified Pressure Equation for Cylindrical Blast Wave be negative?

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

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

Modified Pressure Equation 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 Modified Pressure Equation for Cylindrical Blast Wave can be measured.

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Modified Pressure Equation for Cylindrical Blast Wave Formula

Modified Pressure Equation for Cylindrical Blast Wave Example

Modified Pressure Equation for Cylindrical Blast Wave Solution

Modified Pressure Equation for Cylindrical Blast Wave Formula Elements

Other formulas in Cylindrical Blast Wave category

How to Evaluate Modified Pressure Equation for Cylindrical Blast Wave?

FAQs on Modified Pressure Equation for Cylindrical Blast Wave

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