Newtonian Sine Squared Law for Pressure Coefficient Calculator

✖Deflection Angle is the angle between the onward extension of the previous leg and the line ahead.ⓘ Deflection Angle [θ_d]

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✖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 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Coefficient = 2*sin(Deflection Angle)^2
C_p = 2*sin(θ_d)^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) - 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: -4.444444 Radian --> -4.444444 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p = 2*sin(θ_d)^2 --> 2*sin((-4.444444))^2

Evaluating ... ...

C_p = 1.85981455013161

STEP 3: Convert Result to Output's Unit

1.85981455013161 --> No Conversion Required

FINAL ANSWER

1.85981455013161 ≈ 1.859815 <-- Pressure Coefficient

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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National Institute Of Technology (NIT), Hamirpur

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< Hypersonic Flow Parameters Calculators

Coefficient of Pressure with Similarity Parameters

LaTeX 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))

Deflection Angle

LaTeX Go Deflection Angle = 2/(Specific Heat Ratio-1)*(1/Mach Number ahead of Shock-1/Mach Number Behind Shock)

Coefficient of Drag

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

Axial Force Coefficient

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

Newtonian Sine Squared Law for Pressure Coefficient Formula

LaTeX Go

Pressure Coefficient = 2*sin(Deflection Angle)^2
C_p = 2*sin(θ_d)^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 a measure of the pressure coefficient in hypersonic flow, which is a critical parameter in the study of high-speed fluid dynamics, particularly in the context of aerospace engineering and reentry vehicles. 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_d) 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((-4.444444))^2.

FAQ

What is Newtonian Sine Squared Law for Pressure Coefficient?

Newtonian Sine Squared Law for Pressure Coefficient formula is defined as a measure of the pressure coefficient in hypersonic flow, which is a critical parameter in the study of high-speed fluid dynamics, particularly in the context of aerospace engineering and reentry vehicles and is represented as C_p = 2*sin(θ_d)^2 or Pressure Coefficient = 2*sin(Deflection Angle)^2. 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 a measure of the pressure coefficient in hypersonic flow, which is a critical parameter in the study of high-speed fluid dynamics, particularly in the context of aerospace engineering and reentry vehicles is calculated using Pressure Coefficient = 2*sin(Deflection Angle)^2. To calculate Newtonian Sine Squared Law for Pressure Coefficient, you need Deflection Angle (θ_d). 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*Flow Deflection angle)/(sqrt(Mach Number^2-1))

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