Non-Dimensional Pressure Calculator

✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [P]			+10% -10%
✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+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%

✖Non Dimensionalized Pressure is the technique which can ease the analysis of the problem at hand and reduce the number of free parameters.ⓘ Non-Dimensional Pressure [p_-]

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Formula

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Non-Dimensional Pressure

Formula

`"p"_{"-"} = "P"/("ρ"*"V"_{"∞"}^2)`

Example

`"0.800045"="800Pa"/("663.1kg/m³"*("1.228m/s")^2)`

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Download Approximate Methods of Hypersonic Inviscid Flowfields Formulas PDF

Non-Dimensional Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Non Dimensionalized Pressure = Pressure/(Density*Freestream Velocity^2)
p_- = P/(ρ*V_∞^2)
This formula uses 4 Variables

Variables Used

Non Dimensionalized Pressure - Non Dimensionalized Pressure is the technique which can ease the analysis of the problem at hand and reduce the number of free parameters.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
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.

STEP 1: Convert Input(s) to Base Unit

Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Density: 663.1 Kilogram per Cubic Meter --> 663.1 Kilogram per Cubic Meter No Conversion Required
Freestream Velocity: 1.228 Meter per Second --> 1.228 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p_- = P/(ρ*V_∞^2) --> 800/(663.1*1.228^2)

Evaluating ... ...

p_- = 0.800044650171908

STEP 3: Convert Result to Output's Unit

0.800044650171908 --> No Conversion Required

FINAL ANSWER

0.800044650171908 ≈ 0.800045 <-- Non Dimensionalized 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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< 11 Approximate Methods of Hypersonic Inviscid Flowfields Calculators

Non-Dimensional Pressure for High Mach Number

Go Non Dimensionalized Pressure For High Mech Number = (2*(sin(Wave Angle)^2))/(Specific Heat Ratio+1)

Non-Dimensional Parallel Velocity Component for High Mach Number

Go Non Dimensionalized Upstream Parallel Velocity = 1-(2*(sin(Wave Angle))^2)/(Specific Heat Ratio-1)

Transformed Conical Variable with Wave Angle

Go Transformed Conical Variable With Wave Angle = (Wave Angle*(180/pi))/Slenderness Ratio

Transformed Conical Variable

Go Transformed Conical Variable = Radius of Cone/(Slenderness Ratio*Height of Cone)

Non-Dimensional Radius for Hypersonic Vehicles

Go Non Dimensionalized Radius = Radius of Cone/(Slenderness Ratio*Height of Cone)

Non-Dimensional Perpendicular Velocity Component for High Mach Number

Go Non Dimensionalized Velocity = (sin(2*Wave Angle))/(Specific Heat Ratio-1)

Transformed Conical Variable with Cone Angle in Hypersonic Flow

Go Transformed Conical Variable = (Wave Angle*(180/pi))/Semi Angle of Cone

Non-Dimensional Pressure

Go Non Dimensionalized Pressure = Pressure/(Density*Freestream Velocity^2)

Non-Dimensional Density for High Mach Number

Go Non Dimensionalized Density = (Specific Heat Ratio+1)/(Specific Heat Ratio-1)

Slenderness Ratio with Cone Radius for Hypersonic Vehicle

Go Slenderness Ratio For Hypersonic Vehicles = Radius of Cone/Height of Cone

Non-Dimensional Density

Go Non Dimensionalized Density = Density/Liquid Density

Non-Dimensional Pressure Formula

Non Dimensionalized Pressure = Pressure/(Density*Freestream Velocity^2)
p_- = P/(ρ*V_∞^2)

What is Nondimensionalization?

Nondimensionalization is the partial or full removal of physical dimensions from an equation involving physical quantities by a suitable substitution of variables. This technique can simplify and parameterize problems where measured units are involved.

How to Calculate Non-Dimensional Pressure?

Non-Dimensional Pressure calculator uses Non Dimensionalized Pressure = Pressure/(Density*Freestream Velocity^2) to calculate the Non Dimensionalized Pressure, The Non-dimensional pressure formula is defined as the ratio of pressure to the product of density and square of velocity of free stream flow. Non Dimensionalized Pressure is denoted by p_- symbol.

How to calculate Non-Dimensional Pressure using this online calculator? To use this online calculator for Non-Dimensional Pressure, enter Pressure (P), Density (ρ) & Freestream Velocity (V_∞) and hit the calculate button. Here is how the Non-Dimensional Pressure calculation can be explained with given input values -> 0.713878 = 800/(663.1*1.228^2).

FAQ

What is Non-Dimensional Pressure?

The Non-dimensional pressure formula is defined as the ratio of pressure to the product of density and square of velocity of free stream flow and is represented as p_- = P/(ρ*V_∞^2) or Non Dimensionalized Pressure = Pressure/(Density*Freestream Velocity^2). Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object & 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.

How to calculate Non-Dimensional Pressure?

The Non-dimensional pressure formula is defined as the ratio of pressure to the product of density and square of velocity of free stream flow is calculated using Non Dimensionalized Pressure = Pressure/(Density*Freestream Velocity^2). To calculate Non-Dimensional Pressure, you need Pressure (P), Density (ρ) & Freestream Velocity (V_∞). With our tool, you need to enter the respective value for Pressure, Density & Freestream Velocity 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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