Modified Pressure Equation for Cylindrical 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%
✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [d]			+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 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%
✖Distance from X-Axis is defined as the distance from the point where stress is to be computed to XX axis.ⓘ Distance from X-Axis [y]			+10% -10%

✖Modified Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Modified Pressure Equation for Cylindrical Blast Wave [P_mod]

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Modified Pressure Equation for Cylindrical Blast Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modified Pressure = [BoltZ]*Freestream Density*sqrt(pi/8)*Diameter*sqrt(Drag Coefficient)*(Freestream Velocity^2)/Distance from X-Axis
P_mod = [BoltZ]*ρ_∞*sqrt(pi/8)*d*sqrt(C_D)*(V_∞^2)/y
This formula uses 2 Constants, 1 Functions, 6 Variables

Constants Used

[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Modified Pressure - (Measured in Pascal) - Modified Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
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.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
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.
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.
Distance from X-Axis - (Measured in Meter) - Distance from X-Axis is defined as the distance from the point where stress is to be computed to XX axis.

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
Diameter: 2.425 Meter --> 2.425 Meter No Conversion Required
Drag Coefficient: 0.19866 --> No Conversion Required
Freestream Velocity: 102 Meter per Second --> 102 Meter per Second No Conversion Required
Distance from X-Axis: 2.2 Meter --> 2.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_mod = [BoltZ]*ρ_∞*sqrt(pi/8)*d*sqrt(C_D)*(V_∞^2)/y --> [BoltZ]*412.2*sqrt(pi/8)*2.425*sqrt(0.19866)*(102^2)/2.2

Evaluating ... ...

P_mod = 1.82291191328526E-17

STEP 3: Convert Result to Output's Unit

1.82291191328526E-17 Pascal --> No Conversion Required

FINAL ANSWER

1.82291191328526E-17 ≈ 1.8E-17 Pascal <-- Modified Pressure

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Indian Institute of Technology (IIT), Bombay

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< Cylindrical Blast Wave Calculators

Modified Pressure Equation for Cylindrical Blast Wave

LaTeX Go Modified Pressure = [BoltZ]*Freestream Density*sqrt(pi/8)*Diameter*sqrt(Drag Coefficient)*(Freestream Velocity^2)/Distance from X-Axis

Boltzmann Constant for Cylindrical Blast Wave

LaTeX Go Boltzmann Constant = (Specific Heat Ratio^(2*(Specific Heat Ratio-1)/(2-Specific Heat Ratio)))/(2^((4-Specific Heat Ratio)/(2-Specific Heat Ratio)))

Pressure for Cylindrical Blast Wave

LaTeX Go Pressure for Blast Wave = Boltzmann Constant*Freestream Density*((Energy for Blast Wave/Freestream Density)^(1/2))/(Time Required for Blast Wave)

Radial Coordinate of Cylindrical Blast Wave

LaTeX Go Radial Coordinate = (Energy for Blast Wave/Freestream Density)^(1/4)*Time Required for Blast Wave^(1/2)

Modified Pressure Equation for Cylindrical Blast Wave Formula

LaTeX Go

Modified Pressure = [BoltZ]*Freestream Density*sqrt(pi/8)*Diameter*sqrt(Drag Coefficient)*(Freestream Velocity^2)/Distance from X-Axis
P_mod = [BoltZ]*ρ_∞*sqrt(pi/8)*d*sqrt(C_D)*(V_∞^2)/y

What is boltzmann constant?

The Boltzmann constant (kB or k) is the proportionality factor that relates the average relative kinetic energy of particles in a gas with the thermodynamic temperature of the gas

How to Calculate Modified Pressure Equation for Cylindrical Blast Wave?

Modified Pressure Equation for Cylindrical Blast Wave calculator uses Modified Pressure = [BoltZ]*Freestream Density*sqrt(pi/8)*Diameter*sqrt(Drag Coefficient)*(Freestream Velocity^2)/Distance from X-Axis to calculate 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 calculate Modified Pressure Equation for Cylindrical Blast Wave using this online calculator? To use this online calculator 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. Here is how the Modified Pressure Equation for Cylindrical Blast Wave calculation can be explained with given input values -> 1.8E-17 = [BoltZ]*412.2*sqrt(pi/8)*2.425*sqrt(0.19866)*(102^2)/2.2.

FAQ

What is Modified Pressure Equation for Cylindrical Blast Wave?

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 and is represented as P_mod = [BoltZ]*ρ_∞*sqrt(pi/8)*d*sqrt(C_D)*(V_∞^2)/y or Modified Pressure = [BoltZ]*Freestream Density*sqrt(pi/8)*Diameter*sqrt(Drag Coefficient)*(Freestream Velocity^2)/Distance from X-Axis. Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude, Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere, 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 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 & Distance from X-Axis is defined as the distance from the point where stress is to be computed to XX axis.

How to calculate Modified Pressure Equation for Cylindrical Blast Wave?

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 is calculated using Modified Pressure = [BoltZ]*Freestream Density*sqrt(pi/8)*Diameter*sqrt(Drag Coefficient)*(Freestream Velocity^2)/Distance from X-Axis. To calculate Modified Pressure Equation for Cylindrical Blast Wave, you need Freestream Density (ρ_∞), Diameter (d), Drag Coefficient (C_D), Freestream Velocity (V_∞) & Distance from X-Axis (y). With our tool, you need to enter the respective value for Freestream Density, Diameter, Drag Coefficient, Freestream Velocity & Distance from X-Axis 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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