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Newtonian Sine Squared Law for Pressure Coefficient Formula

GoCoefficient of Pressure with Similarity Parameters 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 {\sin (θ def)}^{2}

C_p - Pressure Coefficient?θ_def - Deflection Angle?

Newtonian Sine Squared Law for Pressure Coefficient Example

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Here is how the Newtonian Sine Squared Law for Pressure Coefficient equation looks like with Values.

Here is how the Newtonian Sine Squared Law for Pressure Coefficient equation looks like with Units.

Here is how the Newtonian Sine Squared Law for Pressure Coefficient equation looks like.

0.0713 = 2 \cdot {\sin (0.19)}^{2}

0.0713 = 2 \cdot {\sin (0.19rad)}^{2}

0.0713 = 2 \cdot {\sin (0.19)}^{2}

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Newtonian Sine Squared Law for Pressure Coefficient Solution

Follow our step by step solution on how to calculate Newtonian Sine Squared Law for Pressure Coefficient?

FIRST Step Consider the formula

C p = 2 \cdot {\sin (θ def)}^{2}

Next Step Substitute values of Variables

∴

C p = 2 \cdot {\sin (0.19rad)}^{2}

Next Step Prepare to Evaluate

∴

C p = 2 \cdot {\sin (0.19)}^{2}

Next Step Evaluate

∴

C p = 0.0713353644234897

LAST Step Rounding Answer

∴

C p = 0.0713

Newtonian Sine Squared Law for Pressure Coefficient 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

Deflection Angle

A Deflection angle is the angle between the onward extension of the previous leg and the line ahead.

Symbol: θ_def

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Deflection Angle

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Pressure Coefficient

Go Coefficient of Pressure with Similarity Parameters

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

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

C p = \frac{2 \cdot θ def}{\sqrt{{M r}^{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 def = \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 Newtonian Sine Squared Law for Pressure Coefficient?

Newtonian Sine Squared Law for Pressure Coefficient evaluator uses Pressure Coefficient = 2*sin(Deflection Angle)^2 to evaluate the Pressure Coefficient, Newtonian sine squared law for pressure coefficient formula is defined as the double of the square of the sine of the angle of deflection for hypersonic flows. Pressure Coefficient is denoted by C_p symbol.

How to evaluate Newtonian Sine Squared Law for Pressure Coefficient using this online evaluator? To use this online evaluator for Newtonian Sine Squared Law for Pressure Coefficient, enter Deflection Angle (θ_def) and hit the calculate button.

FAQs on Newtonian Sine Squared Law for Pressure Coefficient

What is the formula to find Newtonian Sine Squared Law for Pressure Coefficient?

The formula of Newtonian Sine Squared Law for Pressure Coefficient is expressed as Pressure Coefficient = 2*sin(Deflection Angle)^2. Here is an example- 0.071335 = 2*sin(0.19)^2.

How to calculate Newtonian Sine Squared Law for Pressure Coefficient?

With Deflection Angle (θ_def) we can find Newtonian Sine Squared Law for Pressure Coefficient using the formula - Pressure Coefficient = 2*sin(Deflection Angle)^2. This formula also uses Sine function(s).

What are the other ways to Calculate Pressure Coefficient?

Here are the different ways to Calculate Pressure Coefficient-

Pressure Coefficient=2*Flow Deflection angle^2*((Specific Heat Ratio+1)/4+sqrt(((Specific Heat Ratio+1)/4)^2+1/Hypersonic Similarity Parameter^2))
Pressure Coefficient=(2*Deflection Angle)/(sqrt(Mach Number^2-1))

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