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Coefficient of Pressure with Slenderness Ratio Formula

GoCoefficient of Pressure with Slenderness Ratio and Similarity Constant Formula

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Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure. Check FAQs

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

C_p - Pressure Coefficient?γ - Specific Heat Ratio?M - Mach Number?p_- - Non Dimensionalized Pressure?λ - Slenderness Ratio?

Coefficient of Pressure with Slenderness Ratio Example

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Here is how the Coefficient of Pressure with Slenderness Ratio equation looks like with Values.

Here is how the Coefficient of Pressure with Slenderness Ratio equation looks like with Units.

Here is how the Coefficient of Pressure with Slenderness Ratio equation looks like.

2.0816 = \frac{2}{1.1} \cdot {5.4}^{2} \cdot (0.81 \cdot 1.1 \cdot {5.4}^{2} \cdot {0.2}^{2} - 1)

2.0816 = \frac{2}{1.1} \cdot {5.4}^{2} \cdot (0.81 \cdot 1.1 \cdot {5.4}^{2} \cdot {0.2}^{2} - 1)

2.0816 = \frac{2}{1.1} \cdot {5.4}^{2} \cdot (0.81 \cdot 1.1 \cdot {5.4}^{2} \cdot {0.2}^{2} - 1)

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Coefficient of Pressure with Slenderness Ratio Solution

Follow our step by step solution on how to calculate Coefficient of Pressure with Slenderness Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C p = \frac{2}{1.1} \cdot {5.4}^{2} \cdot (0.81 \cdot 1.1 \cdot {5.4}^{2} \cdot {0.2}^{2} - 1)

Next Step Prepare to Evaluate

∴

C p = \frac{2}{1.1} \cdot {5.4}^{2} \cdot (0.81 \cdot 1.1 \cdot {5.4}^{2} \cdot {0.2}^{2} - 1)

Next Step Evaluate

∴

C p = 2.0816210618182

LAST Step Rounding Answer

∴

C p = 2.0816

Coefficient of Pressure with Slenderness Ratio Formula Elements

Variables

Pressure Coefficient

Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.

Symbol: C_p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Pressure Coefficient

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

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

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

Other Formulas to find Pressure Coefficient

Go Coefficient of Pressure with Slenderness Ratio and Similarity Constant

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

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 Similarity Constant Equation using Wave Angle

K β = M \cdot β \cdot \frac{180}{π}

How to Evaluate Coefficient of Pressure with Slenderness Ratio?

Coefficient of Pressure with Slenderness Ratio evaluator uses Pressure Coefficient = 2/Specific Heat Ratio*Mach Number^2*(Non Dimensionalized Pressure*Specific Heat Ratio*Mach Number^2*Slenderness Ratio^2-1) to evaluate the Pressure Coefficient, Coefficient of Pressure with Slenderness Ratio formula is defined as a dimensionless quantity that characterizes the pressure distribution around a body in hypersonic flow, taking into account the effects of slenderness ratio on the flow field and the resulting pressure forces. Pressure Coefficient is denoted by C_p symbol.

How to evaluate Coefficient of Pressure with Slenderness Ratio using this online evaluator? To use this online evaluator for Coefficient of Pressure with Slenderness Ratio, enter Specific Heat Ratio (γ), Mach Number (M), Non Dimensionalized Pressure (p_-) & Slenderness Ratio (λ) and hit the calculate button.

FAQs on Coefficient of Pressure with Slenderness Ratio

What is the formula to find Coefficient of Pressure with Slenderness Ratio?

The formula of Coefficient of Pressure with Slenderness Ratio is expressed as Pressure Coefficient = 2/Specific Heat Ratio*Mach Number^2*(Non Dimensionalized Pressure*Specific Heat Ratio*Mach Number^2*Slenderness Ratio^2-1). Here is an example- 2.081621 = 2/1.1*5.4^2*(0.81*1.1*5.4^2*0.2^2-1).

How to calculate Coefficient of Pressure with Slenderness Ratio?

With Specific Heat Ratio (γ), Mach Number (M), Non Dimensionalized Pressure (p_-) & Slenderness Ratio (λ) we can find Coefficient of Pressure with Slenderness Ratio using the formula - Pressure Coefficient = 2/Specific Heat Ratio*Mach Number^2*(Non Dimensionalized Pressure*Specific Heat Ratio*Mach Number^2*Slenderness Ratio^2-1).

What are the other ways to Calculate Pressure Coefficient?

Here are the different ways to Calculate Pressure Coefficient-

Pressure Coefficient=(2*Slenderness Ratio^2)/(Specific Heat Ratio*Hypersonic Similarity Parameter^2)*(Specific Heat Ratio*Hypersonic Similarity Parameter^2*Non Dimensionalized Pressure-1)

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Coefficient of Pressure with Slenderness Ratio Formula

​GoCoefficient of Pressure with Slenderness Ratio and Similarity Constant Formula

Coefficient of Pressure with Slenderness Ratio Example

Coefficient of Pressure with Slenderness Ratio Solution

Coefficient of Pressure with Slenderness Ratio Formula Elements

Other Formulas to find Pressure Coefficient

Other formulas in Hypersonic Flow and Disturbances category

How to Evaluate Coefficient of Pressure with Slenderness Ratio?

FAQs on Coefficient of Pressure with Slenderness Ratio

Variable Name

GoCoefficient of Pressure with Slenderness Ratio and Similarity Constant Formula