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Non-Dimensional Pressure Formula

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Non Dimensionalized Pressure is the technique which can ease the analysis of the problem at hand and reduce the number of free parameters. Check FAQs

p - = \frac{P}{ρ \cdot {V ∞}^{2}}

p_- - Non Dimensionalized Pressure?P - Pressure?ρ - Density?V_∞ - Freestream Velocity?

Non-Dimensional Pressure Example

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Here is how the Non-Dimensional Pressure equation looks like with Values.

Here is how the Non-Dimensional Pressure equation looks like with Units.

Here is how the Non-Dimensional Pressure equation looks like.

0.8 = \frac{800}{663.1 \cdot {1.228}^{2}}

0.8 = \frac{800Pa}{663.1kg/m³ \cdot {1.228m/s}^{2}}

0.8 = \frac{800}{663.1 \cdot {1.228}^{2}}

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Non-Dimensional Pressure Solution

Follow our step by step solution on how to calculate Non-Dimensional Pressure?

FIRST Step Consider the formula

p - = \frac{P}{ρ \cdot {V ∞}^{2}}

Next Step Substitute values of Variables

∴

p - = \frac{800Pa}{663.1kg/m³ \cdot {1.228m/s}^{2}}

Next Step Prepare to Evaluate

∴

p - = \frac{800}{663.1 \cdot {1.228}^{2}}

Next Step Evaluate

∴

p - = 0.800044650171908

LAST Step Rounding Answer

∴

p - = 0.8

Non-Dimensional Pressure Formula Elements

Variables

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.

Symbol: p_-

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Non Dimensionalized Pressure

Pressure

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

Symbol: P

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Pressure

Density

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.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

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 should be greater than 0.

Formulas to find Freestream Velocity

Other formulas in Approximate Methods of Hypersonic Inviscid Flowfields category

Go Non-Dimensional Density

ρ - = \frac{ρ}{ρ liq}

Go Non-Dimensional Pressure for High Mach Number

p mech = 2 \cdot \frac{{(\sin (β))}^{2}}{γ + 1}

Go Non-Dimensional Density for High Mach Number

ρ - = \frac{γ + 1}{γ - 1}

Go Non-Dimensional Perpendicular Velocity Component for High Mach Number

v - = \frac{\sin (2 \cdot β)}{γ - 1}

How to Evaluate Non-Dimensional Pressure?

Non-Dimensional Pressure evaluator uses Non Dimensionalized Pressure = Pressure/(Density*Freestream Velocity^2) to evaluate the Non Dimensionalized Pressure, The Non-Dimensional Pressure is a dimensionless quantity used in fluid mechanics to characterize pressure distributions. It is defined as the ratio of the actual pressure at a point to a reference pressure, normalized by some characteristic pressure scale. Non Dimensionalized Pressure is denoted by p_- symbol.

How to evaluate Non-Dimensional Pressure using this online evaluator? To use this online evaluator for Non-Dimensional Pressure, enter Pressure (P), Density (ρ) & Freestream Velocity (V_∞) and hit the calculate button.

FAQs on Non-Dimensional Pressure

What is the formula to find Non-Dimensional Pressure?

The formula of Non-Dimensional Pressure is expressed as Non Dimensionalized Pressure = Pressure/(Density*Freestream Velocity^2). Here is an example- 0.713878 = 800/(663.1*1.228^2).

How to calculate Non-Dimensional Pressure?

With Pressure (P), Density (ρ) & Freestream Velocity (V_∞) we can find Non-Dimensional Pressure using the formula - Non Dimensionalized Pressure = Pressure/(Density*Freestream Velocity^2).

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Non-Dimensional Pressure Formula

Non-Dimensional Pressure Example

Non-Dimensional Pressure Solution

Non-Dimensional Pressure Formula Elements

Other formulas in Approximate Methods of Hypersonic Inviscid Flowfields category

How to Evaluate Non-Dimensional Pressure?

FAQs on Non-Dimensional Pressure

Variable Name