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

GoCoefficient of Pressure with Similarity Parameters Formula

GoNewtonian Sine Squared Law for Pressure Coefficient 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 θ d}{\sqrt{M^{2} - 1}}

C_p - Pressure Coefficient?θ_d - Deflection Angle?M - Mach Number?

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

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Here is how the Supersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle equation looks like with Values.

Here is how the Supersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle equation looks like with Units.

Here is how the Supersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle equation looks like.

-2.4384 = \frac{2 \cdot -4.4444}{\sqrt{{3.78}^{2} - 1}}

-2.4384 = \frac{2 \cdot -4.4444rad}{\sqrt{{3.78}^{2} - 1}}

-2.4384 = \frac{2 \cdot -4.4444}{\sqrt{{3.78}^{2} - 1}}

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

Follow our step by step solution on how to calculate Supersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C p = \frac{2 \cdot -4.4444rad}{\sqrt{{3.78}^{2} - 1}}

Next Step Prepare to Evaluate

∴

C p = \frac{2 \cdot -4.4444}{\sqrt{{3.78}^{2} - 1}}

Next Step Evaluate

∴

C p = -2.4384344639174

LAST Step Rounding Answer

∴

C p = -2.4384

Supersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle 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

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

Symbol: θ_d

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Deflection Angle

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

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 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 Newtonian Sine Squared Law for Pressure Coefficient

C p = 2 \cdot {\sin (θ d)}^{2}

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

Supersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle evaluator uses Pressure Coefficient = (2*Deflection Angle)/(sqrt(Mach Number^2-1)) to evaluate the Pressure Coefficient, Supersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle formula is defined as a measure of the pressure coefficient on a surface with a local deflection angle in hypersonic flow, which is critical in understanding the aerodynamic characteristics of a body in high-speed flight. Pressure Coefficient is denoted by C_p symbol.

How to evaluate Supersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle using this online evaluator? To use this online evaluator for Supersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle, enter Deflection Angle (θ_d) & Mach Number (M) and hit the calculate button.

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

What is the formula to find Supersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle?

The formula of Supersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle is expressed as Pressure Coefficient = (2*Deflection Angle)/(sqrt(Mach Number^2-1)). Here is an example- 0.290783 = (2*0.53)/(sqrt(3.78^2-1)).

How to calculate Supersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle?

With Deflection Angle (θ_d) & Mach Number (M) we can find Supersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle using the formula - Pressure Coefficient = (2*Deflection Angle)/(sqrt(Mach Number^2-1)). 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*Flow Deflection angle^2*((Specific Heat Ratio+1)/4+sqrt(((Specific Heat Ratio+1)/4)^2+1/Hypersonic Similarity Parameter^2))
Pressure Coefficient=2*sin(Deflection Angle)^2

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