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Coefficient of Pressure with Similarity Parameters Formula

GoNewtonian Sine Squared Law for Pressure Coefficient Formula

GoSupersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle 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 = 2 \cdot θ^{2} \cdot (\frac{Y + 1}{4} + \sqrt{{(\frac{Y + 1}{4})}^{2} + \frac{1}{K^{2}}})

C_p - Pressure Coefficient?θ - Flow Deflection angle?Y - Specific Heat Ratio?K - Hypersonic Similarity Parameter?

Coefficient of Pressure with Similarity Parameters Example

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Here is how the Coefficient of Pressure with Similarity Parameters equation looks like with Values.

Here is how the Coefficient of Pressure with Similarity Parameters equation looks like with Units.

Here is how the Coefficient of Pressure with Similarity Parameters equation looks like.

0.8259 = 2 \cdot {0.53}^{2} \cdot (\frac{1.6 + 1}{4} + \sqrt{{(\frac{1.6 + 1}{4})}^{2} + \frac{1}{2^{2}}})

0.8259 = 2 \cdot {0.53rad}^{2} \cdot (\frac{1.6 + 1}{4} + \sqrt{{(\frac{1.6 + 1}{4})}^{2} + \frac{1}{{2rad}^{2}}})

0.8259 = 2 \cdot {0.53}^{2} \cdot (\frac{1.6 + 1}{4} + \sqrt{{(\frac{1.6 + 1}{4})}^{2} + \frac{1}{2^{2}}})

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Coefficient of Pressure with Similarity Parameters Solution

Follow our step by step solution on how to calculate Coefficient of Pressure with Similarity Parameters?

FIRST Step Consider the formula

C p = 2 \cdot θ^{2} \cdot (\frac{Y + 1}{4} + \sqrt{{(\frac{Y + 1}{4})}^{2} + \frac{1}{K^{2}}})

Next Step Substitute values of Variables

∴

C p = 2 \cdot {0.53rad}^{2} \cdot (\frac{1.6 + 1}{4} + \sqrt{{(\frac{1.6 + 1}{4})}^{2} + \frac{1}{{2rad}^{2}}})

Next Step Prepare to Evaluate

∴

C p = 2 \cdot {0.53}^{2} \cdot (\frac{1.6 + 1}{4} + \sqrt{{(\frac{1.6 + 1}{4})}^{2} + \frac{1}{2^{2}}})

Next Step Evaluate

∴

C p = 0.825880254824006

LAST Step Rounding Answer

∴

C p = 0.8259

Coefficient of Pressure with Similarity Parameters Formula Elements

Variables

Functions

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

Flow Deflection angle

Flow Deflection angle is defined as the angle by which the flow turns towards the oblique shock.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Flow Deflection angle

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: Y

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 can be positive or negative.

Formulas to find Hypersonic Similarity Parameter

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Pressure Coefficient

Go Newtonian Sine Squared Law for Pressure Coefficient

C p = 2 \cdot {\sin (θ d)}^{2}

Go Supersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle

C p = \frac{2 \cdot θ d}{\sqrt{M^{2} - 1}}

Other formulas in Hypersonic Flow Parameters category

Go Axial Force Coefficient

μ = \frac{F}{q \cdot A}

Go Coefficient of Drag

C D = \frac{F D}{q \cdot A}

Go Deflection Angle

θ d = \frac{2}{Y - 1} \cdot (\frac{1}{M 1} - \frac{1}{M 2})

Go Drag Force

F D = C D \cdot q \cdot A

How to Evaluate Coefficient of Pressure with Similarity Parameters?

Coefficient of Pressure with Similarity Parameters evaluator uses Pressure Coefficient = 2*Flow Deflection angle^2*((Specific Heat Ratio+1)/4+sqrt(((Specific Heat Ratio+1)/4)^2+1/Hypersonic Similarity Parameter^2)) to evaluate the Pressure Coefficient, Coefficient of Pressure with Similarity Parameters formula is defined as a dimensionless quantity used to characterize the pressure distribution on a body in hypersonic flow, providing a similarity parameter to describe the flow behavior under various conditions. Pressure Coefficient is denoted by C_p symbol.

How to evaluate Coefficient of Pressure with Similarity Parameters using this online evaluator? To use this online evaluator for Coefficient of Pressure with Similarity Parameters, enter Flow Deflection angle (θ), Specific Heat Ratio (Y) & Hypersonic Similarity Parameter (K) and hit the calculate button.

FAQs on Coefficient of Pressure with Similarity Parameters

What is the formula to find Coefficient of Pressure with Similarity Parameters?

The formula of Coefficient of Pressure with Similarity Parameters is expressed as Pressure Coefficient = 2*Flow Deflection angle^2*((Specific Heat Ratio+1)/4+sqrt(((Specific Heat Ratio+1)/4)^2+1/Hypersonic Similarity Parameter^2)). Here is an example- 0.82588 = 2*0.53^2*((1.6+1)/4+sqrt(((1.6+1)/4)^2+1/2^2)).

How to calculate Coefficient of Pressure with Similarity Parameters?

With Flow Deflection angle (θ), Specific Heat Ratio (Y) & Hypersonic Similarity Parameter (K) we can find Coefficient of Pressure with Similarity Parameters using the formula - Pressure Coefficient = 2*Flow Deflection angle^2*((Specific Heat Ratio+1)/4+sqrt(((Specific Heat Ratio+1)/4)^2+1/Hypersonic Similarity Parameter^2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Pressure Coefficient?

Here are the different ways to Calculate Pressure Coefficient-

Pressure Coefficient=2*sin(Deflection Angle)^2
Pressure Coefficient=(2*Flow Deflection angle)/(sqrt(Mach Number^2-1))

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Coefficient of Pressure with Similarity Parameters Formula

​GoNewtonian Sine Squared Law for Pressure Coefficient Formula

​GoSupersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle Formula

Coefficient of Pressure with Similarity Parameters Example

Coefficient of Pressure with Similarity Parameters Solution

Coefficient of Pressure with Similarity Parameters Formula Elements

Other Formulas to find Pressure Coefficient

Other formulas in Hypersonic Flow Parameters category

How to Evaluate Coefficient of Pressure with Similarity Parameters?

FAQs on Coefficient of Pressure with Similarity Parameters

Variable Name

GoNewtonian Sine Squared Law for Pressure Coefficient Formula

GoSupersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle Formula