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Non Dimensional Pressure Equation with Slenderness Ratio 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}{γ \cdot M^{2} \cdot λ^{2} \cdot p ∞}

p_- - Non Dimensionalized Pressure?P - Pressure?γ - Specific Heat Ratio?M - Mach Number?λ - Slenderness Ratio?p_∞ - Free Stream Pressure?

Non Dimensional Pressure Equation with Slenderness Ratio Example

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Here is how the Non Dimensional Pressure Equation with Slenderness Ratio equation looks like with Values.

Here is how the Non Dimensional Pressure Equation with Slenderness Ratio equation looks like with Units.

Here is how the Non Dimensional Pressure Equation with Slenderness Ratio equation looks like.

1.0769 = \frac{80}{1.1 \cdot {5.4}^{2} \cdot {0.2}^{2} \cdot 57.9}

1.0769 = \frac{80Pa}{1.1 \cdot {5.4}^{2} \cdot {0.2}^{2} \cdot 57.9Pa}

1.0769 = \frac{80}{1.1 \cdot {5.4}^{2} \cdot {0.2}^{2} \cdot 57.9}

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Non Dimensional Pressure Equation with Slenderness Ratio Solution

Follow our step by step solution on how to calculate Non Dimensional Pressure Equation with Slenderness Ratio?

FIRST Step Consider the formula

p - = \frac{P}{γ \cdot M^{2} \cdot λ^{2} \cdot p ∞}

Next Step Substitute values of Variables

∴

p - = \frac{80Pa}{1.1 \cdot {5.4}^{2} \cdot {0.2}^{2} \cdot 57.9Pa}

Next Step Prepare to Evaluate

∴

p - = \frac{80}{1.1 \cdot {5.4}^{2} \cdot {0.2}^{2} \cdot 57.9}

Next Step Evaluate

∴

p - = 1.0768897099096

LAST Step Rounding Answer

∴

p - = 1.0769

Non Dimensional Pressure Equation with Slenderness Ratio 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 can be positive or negative.

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 can be positive or negative.

Formulas to find Pressure

Specific Heat Ratio

The Specific Heat Ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Specific Heat Ratio

Mach Number

Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number

Slenderness Ratio

The Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.

Symbol: λ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Slenderness Ratio

Free Stream Pressure

Free Stream Pressure is the pressure of fluid that hasn't encountered any disturbance.

Symbol: p_∞

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Free Stream Pressure

Other formulas in Hypersonic Flow and Disturbances category

Go Change in Velocity for Hypersonic Flow in X Direction

u' = v fluid - U ∞

Go Similarity Constant Equation with Slenderness Ratio

K = M \cdot λ

Go Density Ratio with Similarity Constant having Slenderness Ratio

ρ ratio = (\frac{γ + 1}{γ - 1}) \cdot (\frac{1}{1 + \frac{2}{(γ - 1) \cdot K^{2}}})

Go Coefficient of Pressure with Slenderness Ratio

C p = \frac{2}{γ} \cdot M^{2} \cdot (p - \cdot γ \cdot M^{2} \cdot λ^{2} - 1)

How to Evaluate Non Dimensional Pressure Equation with Slenderness Ratio?

Non Dimensional Pressure Equation with Slenderness Ratio evaluator uses Non Dimensionalized Pressure = Pressure/(Specific Heat Ratio*Mach Number^2*Slenderness Ratio^2*Free Stream Pressure) to evaluate the Non Dimensionalized Pressure, Non Dimensional Pressure Equation with Slenderness Ratio formula is defined as a dimensionless quantity used to analyze the pressure distribution in hypersonic flow, providing a crucial parameter in understanding the behavior of fluids at high velocities and its interaction with disturbances. Non Dimensionalized Pressure is denoted by p_- symbol.

How to evaluate Non Dimensional Pressure Equation with Slenderness Ratio using this online evaluator? To use this online evaluator for Non Dimensional Pressure Equation with Slenderness Ratio, enter Pressure (P), Specific Heat Ratio (γ), Mach Number (M), Slenderness Ratio (λ) & Free Stream Pressure (p_∞) and hit the calculate button.

FAQs on Non Dimensional Pressure Equation with Slenderness Ratio

What is the formula to find Non Dimensional Pressure Equation with Slenderness Ratio?

The formula of Non Dimensional Pressure Equation with Slenderness Ratio is expressed as Non Dimensionalized Pressure = Pressure/(Specific Heat Ratio*Mach Number^2*Slenderness Ratio^2*Free Stream Pressure). Here is an example- 1.07689 = 80/(1.1*5.4^2*0.2^2*57.9).

How to calculate Non Dimensional Pressure Equation with Slenderness Ratio?

With Pressure (P), Specific Heat Ratio (γ), Mach Number (M), Slenderness Ratio (λ) & Free Stream Pressure (p_∞) we can find Non Dimensional Pressure Equation with Slenderness Ratio using the formula - Non Dimensionalized Pressure = Pressure/(Specific Heat Ratio*Mach Number^2*Slenderness Ratio^2*Free Stream Pressure).

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Non Dimensional Pressure Equation with Slenderness Ratio Formula

Non Dimensional Pressure Equation with Slenderness Ratio Example

Non Dimensional Pressure Equation with Slenderness Ratio Solution

Non Dimensional Pressure Equation with Slenderness Ratio Formula Elements

Other formulas in Hypersonic Flow and Disturbances category

How to Evaluate Non Dimensional Pressure Equation with Slenderness Ratio?

FAQs on Non Dimensional Pressure Equation with Slenderness Ratio

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