Pressure Ratio of Blunt-Nosed Cylinder (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_cylinder]			+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.ⓘ Pressure Ratio of Blunt-Nosed Cylinder (First Approximation) [r_p]

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Formula

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Pressure Ratio of Blunt-Nosed Cylinder (First Approximation)

Formula

`"r"_{"p"} = 0.067*"M"_{"cylinder"}^2*sqrt("C"_{"D"})/("y"/"d")`

Example

`"0.940203"=0.067*("3.7")^2*sqrt("3.4")/("2200mm"/"1223mm")`

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Pressure Ratio of Blunt-Nosed Cylinder (First Approximation) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Ratio = 0.067*Mach Number^2*sqrt(Drag Coefficient)/(Distance from X-Axis/Diameter)
r_p = 0.067*M_cylinder^2*sqrt(C_D)/(y/d)
This formula uses 1 Functions, 5 Variables

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

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: 3.7 --> No Conversion Required
Drag Coefficient: 3.4 --> No Conversion Required
Distance from X-Axis: 2200 Millimeter --> 2.2 Meter (Check conversion here)
Diameter: 1223 Millimeter --> 1.223 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_p = 0.067*M_cylinder^2*sqrt(C_D)/(y/d) --> 0.067*3.7^2*sqrt(3.4)/(2.2/1.223)

Evaluating ... ...

r_p = 0.940202681692205

STEP 3: Convert Result to Output's Unit

0.940202681692205 --> No Conversion Required

FINAL ANSWER

0.940202681692205 ≈ 0.940203 <-- Pressure Ratio

(Calculation completed in 00.014 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Hypersonic Flight Paths Velocity of Altitude Map » Pressure Ratio of Blunt-Nosed Cylinder (First Approximation)

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Amrita School of Engineering (ASE), Vallikavu

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< 9 Hypersonic Flight Paths Velocity of Altitude Map Calculators

Forces Acting Perpendicular to Body on Flight Path

Go Lift Force = Weight*cos(Angle of Inclination)-Mass*(Velocity^2)/Radius

Pressure Ratio of Blunt-Nosed Cylinder (First Approximation)

Go Pressure Ratio = 0.067*Mach Number^2*sqrt(Drag Coefficient)/(Distance from X-Axis/Diameter)

Forces Acting on Body along Flight Path

Go Drag force along flight path = Weight*sin(Angle of Inclination)-Mass*Velocity Gradient

Radial Coordinate of Blunt-Nosed Cylinder (First Approximation)

Go Radial Coordinate = 0.795*Diameter*Drag Coefficient^(1/4)*(Distance from X-Axis/Diameter)^(1/2)

Blunt-Nosed Radial Coordinate Flat Plate (First Approximation)

Go Radial Coordinate = 0.774*Drag Coefficient^(1/3)*(Distance from X-Axis/Diameter)^(2/3)

Radius for Cylinder-Wedge Body Shape

Go Radius = Radius of Curvature/(1.386*exp(1.8/(Mach Number-1)^0.75))

Radius for Sphere-Cone Body Shape

Go Radius = Radius of Curvature/(1.143*exp(0.54/(Mach Number-1)^1.2))

Radius of Curvature for Cylinder Wedge Body Shape

Go Radius of Curvature = Radius*1.386*exp(1.8/(Mach Number-1)^0.75)

Radius of Curvature for Sphere Cone Body Shape

Go Radius of Curvature = Radius*1.143*exp(0.54/(Mach Number-1)^1.2)

Pressure Ratio of Blunt-Nosed Cylinder (First Approximation) Formula

Pressure Ratio = 0.067*Mach Number^2*sqrt(Drag Coefficient)/(Distance from X-Axis/Diameter)
r_p = 0.067*M_cylinder^2*sqrt(C_D)/(y/d)

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 Pressure Ratio of Blunt-Nosed Cylinder (First Approximation)?

Pressure Ratio of Blunt-Nosed Cylinder (First Approximation) calculator uses Pressure Ratio = 0.067*Mach Number^2*sqrt(Drag Coefficient)/(Distance from X-Axis/Diameter) to calculate the Pressure Ratio, Pressure ratio of Blunt-nosed cylinder (first approximation) formula is defined as 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 Pressure Ratio of Blunt-Nosed Cylinder (First Approximation) using this online calculator? To use this online calculator for Pressure Ratio of Blunt-Nosed Cylinder (First Approximation), enter Mach Number (M_cylinder), Drag Coefficient (C_D), Distance from X-Axis (y) & Diameter (d) and hit the calculate button. Here is how the Pressure Ratio of Blunt-Nosed Cylinder (First Approximation) calculation can be explained with given input values -> 0.940203 = 0.067*3.7^2*sqrt(3.4)/(2.2/1.223).

FAQ

What is Pressure Ratio of Blunt-Nosed Cylinder (First Approximation)?

Pressure ratio of Blunt-nosed cylinder (first approximation) formula is defined as interrelation between drag coefficient, mach number at infinity, distance from the tip of the slab and base diameter and is represented as r_p = 0.067*M_cylinder^2*sqrt(C_D)/(y/d) or Pressure Ratio = 0.067*Mach Number^2*sqrt(Drag Coefficient)/(Distance from X-Axis/Diameter). 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 Pressure Ratio of Blunt-Nosed Cylinder (First Approximation)?

Pressure ratio of Blunt-nosed cylinder (first approximation) formula is defined as interrelation between drag coefficient, mach number at infinity, distance from the tip of the slab and base diameter is calculated using Pressure Ratio = 0.067*Mach Number^2*sqrt(Drag Coefficient)/(Distance from X-Axis/Diameter). To calculate Pressure Ratio of Blunt-Nosed Cylinder (First Approximation), you need Mach Number (M_cylinder), 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.

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