Pressure Coefficient for Slender Bodies of Revolution Calculator

✖Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.ⓘ Angle of Inclination [θ]			+10% -10%
✖Curvature of Surface at point i is denoted by the symbol k.ⓘ Curvature of Surface [k_curvature]			+10% -10%
✖Distance of Point from Centroidal Axis is the distance of a point from the centroidal axis of a curved beam(positive when measured towards the convex side).ⓘ Distance of Point from Centroidal Axis [y]			+10% -10%

✖Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.ⓘ Pressure Coefficient for Slender Bodies of Revolution [C_p]

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Formula

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Pressure Coefficient for Slender Bodies of Revolution

Formula

`"C"_{"p"} = 2*("θ")^2+"k"_{"curvature"}*"y"`

Example

`"0.300923"=2*("10°")^2+"0.2m"*"1.2m"`

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Pressure Coefficient for Slender Bodies of Revolution 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_curvature*y
This formula uses 4 Variables

Variables Used

Pressure Coefficient - Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.
Angle of Inclination - (Measured in Radian) - Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.
Curvature of Surface - (Measured in Meter) - Curvature of Surface at point i is denoted by the symbol k.
Distance of Point from Centroidal Axis - (Measured in Meter) - Distance of Point from Centroidal Axis is the distance of a point from the centroidal axis of a curved beam(positive when measured towards the convex side).

STEP 1: Convert Input(s) to Base Unit

Angle of Inclination: 10 Degree --> 0.1745329251994 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_curvature*y --> 2*(0.1745329251994)^2+0.2*1.2

Evaluating ... ...

C_p = 0.300923483957319

STEP 3: Convert Result to Output's Unit

0.300923483957319 --> No Conversion Required

FINAL ANSWER

0.300923483957319 ≈ 0.300923 <-- Pressure Coefficient

(Calculation completed in 00.020 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< 14 Newtonian Flow Calculators

Time Rate of Change of Momentum of Mass Flux

Go Force = Density of Fluid*Fluid Velocity^2*Area*(sin(Angle of Inclination))^2

Mass Flux Incident on Surface Area

Go Mass Flux(g) = Density of Material*Velocity*Area*sin(Angle of Inclination)

Maximum Pressure Coefficient

Go Maximum Pressure Coefficient = (Total Pressure-Pressure)/(0.5*Density of Material*Freestream Velocity^2)

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 2D Bodies

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

Pressure Coefficient for Slender Bodies of Revolution

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

Coefficient of Lift Equation with Angle of Attack

Go Lift Coefficient = 2*(sin(Angle of Attack))^2*cos(Angle of Attack)

Modified Newtonian Law

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

Coefficient of Lift Equation with Coefficient of Normal Force

Go Lift Coefficient = Coefficient of Force*cos(Angle of Attack)

Coefficient of Drag Equation with Coefficient of Normal Force

Go Drag Coefficient = Coefficient of Force*sin(Angle of Attack)

Force Exerted on Surface given Static Pressure

Go Force = Area*(Surface Pressure-Static Pressure)

Lift Force with Angle of Attack

Go Lift Force = Drag Force*cot(Angle of Attack)

Drag Force with Angle of Attack

Go Drag Force = Lift Force/cot(Angle of Attack)

Coefficient of Drag Equation with Angle of Attack

Go Drag Coefficient = 2*(sin(Angle of Attack))^3

Pressure Coefficient for Slender Bodies of Revolution Formula

Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis
C_p = 2*(θ)^2+k_curvature*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 Bodies of Revolution?

Pressure Coefficient for Slender Bodies of Revolution calculator uses Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis to calculate the Pressure Coefficient, The Pressure coefficient for slender bodies of revolution formula is defined as the sum of double of the square of deflection angle and product of curvature of surface and distance y from centerline to the point y. Pressure Coefficient is denoted by C_p symbol.

How to calculate Pressure Coefficient for Slender Bodies of Revolution using this online calculator? To use this online calculator for Pressure Coefficient for Slender Bodies of Revolution, enter Angle of Inclination (θ), Curvature of Surface (k_curvature) & Distance of Point from Centroidal Axis (y) and hit the calculate button. Here is how the Pressure Coefficient for Slender Bodies of Revolution calculation can be explained with given input values -> 0.313717 = 2*(0.1745329251994)^2+0.2*1.2.

FAQ

What is Pressure Coefficient for Slender Bodies of Revolution?

The Pressure coefficient for slender bodies of revolution formula is defined as the sum of double of the square of deflection angle and product of curvature of surface and distance y from centerline to the point y and is represented as C_p = 2*(θ)^2+k_curvature*y or Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis. Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians, Curvature of Surface at point i is denoted by the symbol k & Distance of Point from Centroidal Axis is the distance of a point from the centroidal axis of a curved beam(positive when measured towards the convex side).

How to calculate Pressure Coefficient for Slender Bodies of Revolution?

The Pressure coefficient for slender bodies of revolution formula is defined as the sum of double of the square of deflection angle and product of curvature of surface and distance y from centerline to the point y 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 Bodies of Revolution, you need Angle of Inclination (θ), Curvature of Surface (k_curvature) & 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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