Modified Newtonian Law Calculator

✖The Maximum Pressure Coefficient is the highest value of pressure difference across a surface in hypersonic flow, indicating the intensity of aerodynamic forces acting on the object.ⓘ Maximum Pressure Coefficient [C_p,max]			+10% -10%
✖The Angle of Inclination is the angle between a reference plane and the surface of a body, influencing the flow behavior in fluid mechanics.ⓘ Angle of Inclination [θ]			+10% -10%

✖The Pressure Coefficient is a dimensionless number that represents the relative pressure difference at a point in a fluid flow compared to the surrounding atmospheric pressure.ⓘ Modified Newtonian Law [C_p]

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Modified Newtonian Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Coefficient = Maximum Pressure Coefficient*(sin(Angle of Inclination))^2
C_p = C_p,max*(sin(θ))^2
This formula uses 1 Functions, 3 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 - The Pressure Coefficient is a dimensionless number that represents the relative pressure difference at a point in a fluid flow compared to the surrounding atmospheric pressure.
Maximum Pressure Coefficient - The Maximum Pressure Coefficient is the highest value of pressure difference across a surface in hypersonic flow, indicating the intensity of aerodynamic forces acting on the object.
Angle of Inclination - (Measured in Radian) - The Angle of Inclination is the angle between a reference plane and the surface of a body, influencing the flow behavior in fluid mechanics.

STEP 1: Convert Input(s) to Base Unit

Maximum Pressure Coefficient: 2.910156 --> No Conversion Required
Angle of Inclination: 32 Degree --> 0.55850536063808 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p = C_p,max*(sin(θ))^2 --> 2.910156*(sin(0.55850536063808))^2

Evaluating ... ...

C_p = 0.817213788472167

STEP 3: Convert Result to Output's Unit

0.817213788472167 --> No Conversion Required

FINAL ANSWER

0.817213788472167 ≈ 0.817214 <-- Pressure Coefficient

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Newtonian Flow » Modified Newtonian Law

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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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< Newtonian Flow Calculators

Exact Normal Shock Wave Maximum Coefficient of Pressure

LaTeX Go Maximum Pressure Coefficient = 2/(Specific Heat Ratio*Mach Number^2)*(Total Pressure/Pressure-1)

Pressure Coefficient for Slender Bodies of Revolution

LaTeX Go Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis

Pressure Coefficient for Slender 2D Bodies

LaTeX Go Pressure Coefficient = 2*(Angle of Inclination^2+Curvature of Surface*Distance of Point from Centroidal Axis)

Modified Newtonian Law

LaTeX Go Pressure Coefficient = Maximum Pressure Coefficient*(sin(Angle of Inclination))^2

Modified Newtonian Law Formula

LaTeX Go

Pressure Coefficient = Maximum Pressure Coefficient*(sin(Angle of Inclination))^2
C_p = C_p,max*(sin(θ))^2

What is a pressure coefficient?

The pressure coefficient is a dimensionless number which describes the relative pressures throughout a flow field in fluid dynamics

How to Calculate Modified Newtonian Law?

Modified Newtonian Law calculator uses Pressure Coefficient = Maximum Pressure Coefficient*(sin(Angle of Inclination))^2 to calculate the Pressure Coefficient, Modified Newtonian Law formula is defined as a principle that describes the behavior of fluid flow under hypersonic conditions, emphasizing the relationship between pressure coefficients and the angle of attack in fluid dynamics. Pressure Coefficient is denoted by C_p symbol.

How to calculate Modified Newtonian Law using this online calculator? To use this online calculator for Modified Newtonian Law, enter Maximum Pressure Coefficient (C_p,max) & Angle of Inclination (θ) and hit the calculate button. Here is how the Modified Newtonian Law calculation can be explained with given input values -> 0.089497 = 2.910156*(sin(0.55850536063808))^2.

FAQ

What is Modified Newtonian Law?

Modified Newtonian Law formula is defined as a principle that describes the behavior of fluid flow under hypersonic conditions, emphasizing the relationship between pressure coefficients and the angle of attack in fluid dynamics and is represented as C_p = C_p,max*(sin(θ))^2 or Pressure Coefficient = Maximum Pressure Coefficient*(sin(Angle of Inclination))^2. The Maximum Pressure Coefficient is the highest value of pressure difference across a surface in hypersonic flow, indicating the intensity of aerodynamic forces acting on the object & The Angle of Inclination is the angle between a reference plane and the surface of a body, influencing the flow behavior in fluid mechanics.

How to calculate Modified Newtonian Law?

Modified Newtonian Law formula is defined as a principle that describes the behavior of fluid flow under hypersonic conditions, emphasizing the relationship between pressure coefficients and the angle of attack in fluid dynamics is calculated using Pressure Coefficient = Maximum Pressure Coefficient*(sin(Angle of Inclination))^2. To calculate Modified Newtonian Law, you need Maximum Pressure Coefficient (C_p,max) & Angle of Inclination (θ). With our tool, you need to enter the respective value for Maximum Pressure Coefficient & Angle of Inclination 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 Maximum Pressure Coefficient & Angle of Inclination. We can use 2 other way(s) to calculate the same, which is/are as follows -

Pressure Coefficient = 2*(Angle of Inclination^2+Curvature of Surface*Distance of Point from Centroidal Axis)
Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis

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