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Coefficient of Pressure with Slenderness Ratio and Similarity Constant Formula

GoCoefficient of Pressure with Slenderness Ratio 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 \cdot λ^{2}}{γ \cdot K^{2}} \cdot (γ \cdot K^{2} \cdot p - - 1)

C_p - Pressure Coefficient?λ - Slenderness Ratio?γ - Specific Heat Ratio?K - Hypersonic Similarity Parameter?p_- - Non Dimensionalized Pressure?

Coefficient of Pressure with Slenderness Ratio and Similarity Constant Example

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

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

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

0.0275 = \frac{2 \cdot {0.2}^{2}}{1.1 \cdot {1.396}^{2}} \cdot (1.1 \cdot {1.396}^{2} \cdot 0.81 - 1)

0.0275 = \frac{2 \cdot {0.2}^{2}}{1.1 \cdot {1.396rad}^{2}} \cdot (1.1 \cdot {1.396rad}^{2} \cdot 0.81 - 1)

0.0275 = \frac{2 \cdot {0.2}^{2}}{1.1 \cdot {1.396}^{2}} \cdot (1.1 \cdot {1.396}^{2} \cdot 0.81 - 1)

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Coefficient of Pressure with Slenderness Ratio and Similarity Constant Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C p = \frac{2 \cdot {0.2}^{2}}{1.1 \cdot {1.396rad}^{2}} \cdot (1.1 \cdot {1.396rad}^{2} \cdot 0.81 - 1)

Next Step Prepare to Evaluate

∴

C p = \frac{2 \cdot {0.2}^{2}}{1.1 \cdot {1.396}^{2}} \cdot (1.1 \cdot {1.396}^{2} \cdot 0.81 - 1)

Next Step Evaluate

∴

C p = 0.0274813035569942

LAST Step Rounding Answer

∴

C p = 0.0275

Coefficient of Pressure with Slenderness Ratio and Similarity Constant 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

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

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

Hypersonic Similarity Parameter

Hypersonic Similarity Parameter, In the study of hypersonic flow over slender bodies, the product M1u is an important governing parameter, where, as before. It is to simplify the equations.

Symbol: K

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Hypersonic Similarity Parameter

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

Other Formulas to find Pressure Coefficient

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)

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 and Similarity Constant?

Coefficient of Pressure with Slenderness Ratio and Similarity Constant evaluator uses Pressure Coefficient = (2*Slenderness Ratio^2)/(Specific Heat Ratio*Hypersonic Similarity Parameter^2)*(Specific Heat Ratio*Hypersonic Similarity Parameter^2*Non Dimensionalized Pressure-1) to evaluate the Pressure Coefficient, Coefficient of Pressure with Slenderness Ratio and Similarity Constant formula is defined as a dimensionless quantity that characterizes the pressure distribution around a body in hypersonic flow, taking into account the slenderness ratio and similarity constant, which are crucial in understanding disturbances in hypersonic flow. Pressure Coefficient is denoted by C_p symbol.

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

FAQs on Coefficient of Pressure with Slenderness Ratio and Similarity Constant

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

The formula of Coefficient of Pressure with Slenderness Ratio and Similarity Constant is expressed as Pressure Coefficient = (2*Slenderness Ratio^2)/(Specific Heat Ratio*Hypersonic Similarity Parameter^2)*(Specific Heat Ratio*Hypersonic Similarity Parameter^2*Non Dimensionalized Pressure-1). Here is an example- 0.027481 = (2*0.2^2)/(1.1*1.396^2)*(1.1*1.396^2*0.81-1).

How to calculate Coefficient of Pressure with Slenderness Ratio and Similarity Constant?

With Slenderness Ratio (λ), Specific Heat Ratio (γ), Hypersonic Similarity Parameter (K) & Non Dimensionalized Pressure (p_-) we can find Coefficient of Pressure with Slenderness Ratio and Similarity Constant using the formula - Pressure Coefficient = (2*Slenderness Ratio^2)/(Specific Heat Ratio*Hypersonic Similarity Parameter^2)*(Specific Heat Ratio*Hypersonic Similarity Parameter^2*Non Dimensionalized Pressure-1).

What are the other ways to Calculate Pressure Coefficient?

Here are the different ways to Calculate Pressure Coefficient-

Pressure Coefficient=2/Specific Heat Ratio*Mach Number^2*(Non Dimensionalized Pressure*Specific Heat Ratio*Mach Number^2*Slenderness Ratio^2-1)

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Coefficient of Pressure with Slenderness Ratio and Similarity Constant Formula

​GoCoefficient of Pressure with Slenderness Ratio Formula

Coefficient of Pressure with Slenderness Ratio and Similarity Constant Example

Coefficient of Pressure with Slenderness Ratio and Similarity Constant Solution

Coefficient of Pressure with Slenderness Ratio and Similarity Constant 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 and Similarity Constant?

FAQs on Coefficient of Pressure with Slenderness Ratio and Similarity Constant

Variable Name

GoCoefficient of Pressure with Slenderness Ratio Formula