Blunt-Nosed Flat Plate Pressure Ratio (First Approximation) Calculator

✖Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number [M]			+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%
✖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%
✖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%

✖Pressure Ratio is ratio of final to initial pressure.ⓘ Blunt-Nosed Flat Plate Pressure Ratio (First Approximation) [r_p]

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Formula

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Blunt-Nosed Flat Plate Pressure Ratio (First Approximation)

Formula

`"r"_{"p"} = 0.121*"M"^2*("C"_{"D"}/("y"/"d"))^(2/3)`

Example

`"7.759055"=0.121*("5.5")^2*("2.8"/("2.2m"/"2.425m"))^(2/3)`

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Download Hypersonic Equivalence Principle and Blast-Wave Theory Formulas PDF

Blunt-Nosed Flat Plate Pressure Ratio (First Approximation) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Ratio = 0.121*Mach Number^2*(Drag Coefficient/(Distance from X-Axis/Diameter))^(2/3)
r_p = 0.121*M^2*(C_D/(y/d))^(2/3)
This formula uses 5 Variables

Variables Used

Pressure Ratio - Pressure Ratio is ratio of final to initial pressure.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Mach Number: 5.5 --> No Conversion Required
Drag Coefficient: 2.8 --> No Conversion Required
Distance from X-Axis: 2.2 Meter --> 2.2 Meter No Conversion Required
Diameter: 2.425 Meter --> 2.425 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_p = 0.121*M^2*(C_D/(y/d))^(2/3) --> 0.121*5.5^2*(2.8/(2.2/2.425))^(2/3)

Evaluating ... ...

r_p = 7.75905466480871

STEP 3: Convert Result to Output's Unit

7.75905466480871 --> No Conversion Required

FINAL ANSWER

7.75905466480871 ≈ 7.759055 <-- Pressure Ratio

(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 » Blunt-Nosed Flat Plate Pressure Ratio (First Approximation)

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Amrita School of Engineering (ASE), Vallikavu

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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

Blunt-Nosed Flat Plate Pressure Ratio (First Approximation) Formula

Pressure Ratio = 0.121*Mach Number^2*(Drag Coefficient/(Distance from X-Axis/Diameter))^(2/3)
r_p = 0.121*M^2*(C_D/(y/d))^(2/3)

What is 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 Blunt-Nosed Flat Plate Pressure Ratio (First Approximation)?

Blunt-Nosed Flat Plate Pressure Ratio (First Approximation) calculator uses Pressure Ratio = 0.121*Mach Number^2*(Drag Coefficient/(Distance from X-Axis/Diameter))^(2/3) to calculate the Pressure Ratio, The Blunt-nosed flat plate pressure ratio (first approximation) formula is defined as the interrelation between drag coefficient, Mach number at infinity, distance from the tip of the slab and base diameter. Pressure Ratio is denoted by r_p symbol.

How to calculate Blunt-Nosed Flat Plate Pressure Ratio (First Approximation) using this online calculator? To use this online calculator for Blunt-Nosed Flat Plate Pressure Ratio (First Approximation), enter Mach Number (M), Drag Coefficient (C_D), Distance from X-Axis (y) & Diameter (d) and hit the calculate button. Here is how the Blunt-Nosed Flat Plate Pressure Ratio (First Approximation) calculation can be explained with given input values -> 7.759055 = 0.121*5.5^2*(2.8/(2.2/2.425))^(2/3).

FAQ

What is Blunt-Nosed Flat Plate Pressure Ratio (First Approximation)?

The Blunt-nosed flat plate pressure ratio (first approximation) formula is defined as the interrelation between drag coefficient, Mach number at infinity, distance from the tip of the slab and base diameter and is represented as r_p = 0.121*M^2*(C_D/(y/d))^(2/3) or Pressure Ratio = 0.121*Mach Number^2*(Drag Coefficient/(Distance from X-Axis/Diameter))^(2/3). Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound, 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, Distance from X-Axis is defined as the distance from the point where stress is to be computed to XX axis & Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

How to calculate Blunt-Nosed Flat Plate Pressure Ratio (First Approximation)?

The Blunt-nosed flat plate pressure ratio (first approximation) formula is defined as the interrelation between drag coefficient, Mach number at infinity, distance from the tip of the slab and base diameter is calculated using Pressure Ratio = 0.121*Mach Number^2*(Drag Coefficient/(Distance from X-Axis/Diameter))^(2/3). To calculate Blunt-Nosed Flat Plate Pressure Ratio (First Approximation), you need Mach Number (M), Drag Coefficient (C_D), Distance from X-Axis (y) & Diameter (d). With our tool, you need to enter the respective value for Mach Number, Drag Coefficient, Distance from X-Axis & Diameter 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 Pressure Ratio?

In this formula, Pressure Ratio uses Mach Number, Drag Coefficient, Distance from X-Axis & Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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