Newtonian Sine Squared Law for Pressure Coefficient Calculator

✖Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.ⓘ Newtonian Sine Squared Law for Pressure Coefficient [C_p]

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Newtonian Sine Squared Law for Pressure Coefficient

Formula

`"C"_{"p"} = 2*sin("θ"_{"def"})^2`

Example

`"0.071335"=2*sin("0.19rad")^2`

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Newtonian Sine Squared Law for Pressure Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Coefficient = 2*sin(Deflection Angle)^2
C_p = 2*sin(θ_def)^2
This formula uses 1 Functions, 2 Variables

Functions Used

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., sin(Angle)

Variables Used

Pressure Coefficient - Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.
Deflection Angle - (Measured in Radian) - A Deflection angle is the angle between the onward extension of the previous leg and the line ahead.

STEP 1: Convert Input(s) to Base Unit

Deflection Angle: 0.19 Radian --> 0.19 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p = 2*sin(θ_def)^2 --> 2*sin(0.19)^2

Evaluating ... ...

C_p = 0.0713353644234897

STEP 3: Convert Result to Output's Unit

0.0713353644234897 --> No Conversion Required

FINAL ANSWER

0.0713353644234897 ≈ 0.071335 <-- Pressure Coefficient

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Hypersonic Flow Parameters » Newtonian Sine Squared Law for Pressure Coefficient

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 20 Hypersonic Flow Parameters Calculators

Coefficient of Pressure with Similarity Parameters

Go 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 Ratio having High Mach Number with Similarity Constant

Go Pressure Ratio = (1-((Specific Heat Ratio-1)/2)*Hypersonic Similarity Parameter)^(2*Specific Heat Ratio/(Specific Heat Ratio-1))

Mach Number with Fluids

Go Mach Number = Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*Final Temperature))

Pressure Ratio for High Mach Number

Go Pressure Ratio = (Mach Number ahead of shock/Mach Number behind shock)^(2*Specific Heat Ratio/(Specific Heat Ratio-1))

Moment Coefficient

Go Moment Coefficient = Moment/(Dynamic Pressure*Area for Flow*Chord Length)

Deflection Angle

Go Deflection Angle = 2/(Specific Heat Ratio-1)*(1/Mach Number ahead of shock-1/Mach Number behind shock)

Normal Force Coefficient

Go Coefficient of Force = Normal Force/(Dynamic Pressure*Area for Flow)

Supersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle

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

Dynamic Pressure given Coefficient of Lift

Go Dynamic Pressure = Lift Force/(Lift Coefficient*Area for Flow)

Coefficient of Drag

Go Drag Coefficient = Drag Force/(Dynamic Pressure*Area for Flow)

Dynamic Pressure

Go Dynamic Pressure = Drag Force/(Drag Coefficient*Area for Flow)

Lift Coefficient

Go Lift Coefficient = Lift Force/(Dynamic Pressure*Area for Flow)

Axial Force Coefficient

Go Coefficient of Force = Force/(Dynamic Pressure*Area for Flow)

Drag Force

Go Drag Force = Drag Coefficient*Dynamic Pressure*Area for Flow

Lift Force

Go Lift Force = Lift Coefficient*Dynamic Pressure*Area for Flow

Mach Ratio at High Mach Number

Go Mach Ratio = 1-Hypersonic Similarity Parameter*((Specific Heat Ratio-1)/2)

Hypersonic Similarity Parameter

Go Hypersonic Similarity Parameter = Mach Number*Flow Deflection angle

Shear-Stress Distribution

Go Shear Stress = Viscosity Coefficient*Velocity Gradient

Fourier's Law of Heat Conduction

Go Heat Flux = Thermal Conductivity*Temperature Gradient

Newtonian Sine Squared Law for Pressure Coefficient

Go Pressure Coefficient = 2*sin(Deflection Angle)^2

Newtonian Sine Squared Law for Pressure Coefficient Formula

Pressure Coefficient = 2*sin(Deflection Angle)^2
C_p = 2*sin(θ_def)^2

What is Newtonian sine-squared law for pressure coefficient?

The Newtonian sine squared law indicated that the force varies as the square of the sine of the deflection angle and this flow has similar characteristics of Newtonian flow

How to Calculate Newtonian Sine Squared Law for Pressure Coefficient?

Newtonian Sine Squared Law for Pressure Coefficient calculator uses Pressure Coefficient = 2*sin(Deflection Angle)^2 to calculate 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 calculate Newtonian Sine Squared Law for Pressure Coefficient using this online calculator? To use this online calculator for Newtonian Sine Squared Law for Pressure Coefficient, enter Deflection Angle (θ_def) and hit the calculate button. Here is how the Newtonian Sine Squared Law for Pressure Coefficient calculation can be explained with given input values -> 0.071335 = 2*sin(0.19)^2.

FAQ

What is Newtonian Sine Squared Law for 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 and is represented as C_p = 2*sin(θ_def)^2 or Pressure Coefficient = 2*sin(Deflection Angle)^2. A Deflection angle is the angle between the onward extension of the previous leg and the line ahead.

How to calculate Newtonian Sine Squared Law for 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 is calculated using Pressure Coefficient = 2*sin(Deflection Angle)^2. To calculate Newtonian Sine Squared Law for Pressure Coefficient, you need Deflection Angle (θ_def). With our tool, you need to enter the respective value for Deflection Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Pressure Coefficient?

In this formula, Pressure Coefficient uses Deflection Angle. We can use 2 other way(s) to calculate the same, which is/are as follows -

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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