Pressure Coefficient for Slender 2D Bodies Calculator

✖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 Curvature of Surface is a measure of how much a surface deviates from being flat, influencing fluid flow behavior in various mechanical applications.ⓘ Curvature of Surface [k_c]			+10% -10%
✖The Distance of Point from Centroidal Axis is the measurement from a specific point to the centroidal axis, important for analyzing fluid flow in hypersonic conditions.ⓘ Distance of Point from Centroidal Axis [y]			+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.ⓘ Pressure Coefficient for Slender 2D Bodies [C_p]

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Pressure Coefficient for Slender 2D Bodies Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Coefficient = 2*(Angle of Inclination^2+Curvature of Surface*Distance of Point from Centroidal Axis)
C_p = 2*(θ^2+k_c*y)
This formula uses 4 Variables

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.
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.
Curvature of Surface - (Measured in Meter) - The Curvature of Surface is a measure of how much a surface deviates from being flat, influencing fluid flow behavior in various mechanical applications.
Distance of Point from Centroidal Axis - (Measured in Meter) - The Distance of Point from Centroidal Axis is the measurement from a specific point to the centroidal axis, important for analyzing fluid flow in hypersonic conditions.

STEP 1: Convert Input(s) to Base Unit

Angle of Inclination: 32 Degree --> 0.55850536063808 Radian (Check conversion here)
Curvature of Surface: 0.2 Meter --> 0.2 Meter No Conversion Required
Distance of Point from Centroidal Axis: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p = 2*(θ^2+k_c*y) --> 2*(0.55850536063808^2+0.2*1.2)

Evaluating ... ...

C_p = 1.10385647572294

STEP 3: Convert Result to Output's Unit

1.10385647572294 --> No Conversion Required

FINAL ANSWER

1.10385647572294 ≈ 1.103856 <-- 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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< Newtonian Flow Calculators

Exact Normal Shock Wave Maximum Coefficient of Pressure

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

Pressure Coefficient for Slender Bodies of Revolution

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

Pressure Coefficient for Slender 2D Bodies

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

Modified Newtonian Law

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

Pressure Coefficient for Slender 2D Bodies Formula

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

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 Pressure Coefficient for Slender 2D Bodies?

Pressure Coefficient for Slender 2D Bodies calculator uses Pressure Coefficient = 2*(Angle of Inclination^2+Curvature of Surface*Distance of Point from Centroidal Axis) to calculate the Pressure Coefficient, Pressure Coefficient for Slender 2D Bodies formula is defined as a measure of the pressure distribution around slender two-dimensional objects in hypersonic flow, reflecting the effects of angle of attack and curvature on aerodynamic performance. Pressure Coefficient is denoted by C_p symbol.

How to calculate Pressure Coefficient for Slender 2D Bodies using this online calculator? To use this online calculator for Pressure Coefficient for Slender 2D Bodies, enter Angle of Inclination (θ), Curvature of Surface (k_c) & Distance of Point from Centroidal Axis (y) and hit the calculate button. Here is how the Pressure Coefficient for Slender 2D Bodies calculation can be explained with given input values -> 1.103856 = 2*(0.55850536063808^2+0.2*1.2).

FAQ

What is Pressure Coefficient for Slender 2D Bodies?

Pressure Coefficient for Slender 2D Bodies formula is defined as a measure of the pressure distribution around slender two-dimensional objects in hypersonic flow, reflecting the effects of angle of attack and curvature on aerodynamic performance and is represented as C_p = 2*(θ^2+k_c*y) or Pressure Coefficient = 2*(Angle of Inclination^2+Curvature of Surface*Distance of Point from Centroidal Axis). The Angle of Inclination is the angle between a reference plane and the surface of a body, influencing the flow behavior in fluid mechanics, The Curvature of Surface is a measure of how much a surface deviates from being flat, influencing fluid flow behavior in various mechanical applications & The Distance of Point from Centroidal Axis is the measurement from a specific point to the centroidal axis, important for analyzing fluid flow in hypersonic conditions.

How to calculate Pressure Coefficient for Slender 2D Bodies?

Pressure Coefficient for Slender 2D Bodies formula is defined as a measure of the pressure distribution around slender two-dimensional objects in hypersonic flow, reflecting the effects of angle of attack and curvature on aerodynamic performance is calculated using Pressure Coefficient = 2*(Angle of Inclination^2+Curvature of Surface*Distance of Point from Centroidal Axis). To calculate Pressure Coefficient for Slender 2D Bodies, you need Angle of Inclination (θ), Curvature of Surface (k_c) & Distance of Point from Centroidal Axis (y). With our tool, you need to enter the respective value for Angle of Inclination, Curvature of Surface & Distance of Point from Centroidal Axis 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 Angle of Inclination, Curvature of Surface & Distance of Point from Centroidal Axis. 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 = Maximum Pressure Coefficient*(sin(Angle of Inclination))^2

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