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Pressure Coefficient for Slender Bodies of Revolution Formula

GoPressure Coefficient for Slender 2D Bodies Formula

GoModified Newtonian Law Formula

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Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure. Check FAQs

C p = 2 \cdot {(θ)}^{2} + k curvature \cdot y

C_p - Pressure Coefficient?θ - Angle of Inclination?k_curvature - Curvature of Surface?y - Distance of Point from Centroidal Axis?

Pressure Coefficient for Slender Bodies of Revolution Example

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Here is how the Pressure Coefficient for Slender Bodies of Revolution equation looks like with Values.

Here is how the Pressure Coefficient for Slender Bodies of Revolution equation looks like with Units.

Here is how the Pressure Coefficient for Slender Bodies of Revolution equation looks like.

0.3009 = 2 \cdot {(10)}^{2} + 0.2 \cdot 1.2

0.3009 = 2 \cdot {(10°)}^{2} + 0.2m \cdot 1.2m

0.3009 = 2 \cdot {(10)}^{2} + 0.2 \cdot 1.2

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Pressure Coefficient for Slender Bodies of Revolution Solution

Follow our step by step solution on how to calculate Pressure Coefficient for Slender Bodies of Revolution?

FIRST Step Consider the formula

C p = 2 \cdot {(θ)}^{2} + k curvature \cdot y

Next Step Substitute values of Variables

∴

C p = 2 \cdot {(10°)}^{2} + 0.2m \cdot 1.2m

Next Step Convert Units

∴

C p = 2 \cdot {(0.1745rad)}^{2} + 0.2m \cdot 1.2m

Next Step Prepare to Evaluate

∴

C p = 2 \cdot {(0.1745)}^{2} + 0.2 \cdot 1.2

Next Step Evaluate

∴

C p = 0.300923483957319

LAST Step Rounding Answer

∴

C p = 0.3009

Pressure Coefficient for Slender Bodies of Revolution Formula Elements

Variables

Pressure Coefficient

Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.

Symbol: C_p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Pressure Coefficient

Angle of Inclination

Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Inclination

Curvature of Surface

Curvature of Surface at point i is denoted by the symbol k.

Symbol: k_curvature

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Curvature of Surface

Distance of Point from Centroidal Axis

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).

Symbol: y

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance of Point from Centroidal Axis

Other Formulas to find Pressure Coefficient

Go Pressure Coefficient for Slender 2D Bodies

C p = 2 \cdot ({(θ)}^{2} + k curvature \cdot y)

Go Modified Newtonian Law

C p = C p,max \cdot {(\sin (θ))}^{2}

Other formulas in Newtonian Flow category

Go Exact Normal Shock Wave Maximum Coefficient of Pressure

C p,max = \frac{2}{Y \cdot M^{2}} \cdot (\frac{P T}{P} - 1)

Go Coefficient of Lift Equation with Angle of Attack

C L = 2 \cdot {(\sin (α))}^{2} \cdot \cos (α)

Go Maximum Pressure Coefficient

C p,max = \frac{P T - P}{0.5 \cdot ρ \cdot {V ∞}^{2}}

Go Coefficient of Lift Equation with Coefficient of Normal Force

C L = μ \cdot \cos (α)

How to Evaluate Pressure Coefficient for Slender Bodies of Revolution?

Pressure Coefficient for Slender Bodies of Revolution evaluator uses Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis to evaluate 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 evaluate Pressure Coefficient for Slender Bodies of Revolution using this online evaluator? To use this online evaluator 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.

FAQs on Pressure Coefficient for Slender Bodies of Revolution

What is the formula to find Pressure Coefficient for Slender Bodies of Revolution?

The formula of Pressure Coefficient for Slender Bodies of Revolution is expressed as Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis. Here is an example- 0.300923 = 2*(0.1745329251994)^2+0.2*1.2.

How to calculate Pressure Coefficient for Slender Bodies of Revolution?

With Angle of Inclination (θ), Curvature of Surface (k_curvature) & Distance of Point from Centroidal Axis (y) we can find Pressure Coefficient for Slender Bodies of Revolution using the formula - Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis.

What are the other ways to Calculate Pressure Coefficient?

Here are the different ways to Calculate Pressure Coefficient-

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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Pressure Coefficient for Slender Bodies of Revolution Formula

​GoPressure Coefficient for Slender 2D Bodies Formula

​GoModified Newtonian Law Formula

Pressure Coefficient for Slender Bodies of Revolution Example

Pressure Coefficient for Slender Bodies of Revolution Solution

Pressure Coefficient for Slender Bodies of Revolution Formula Elements

Other Formulas to find Pressure Coefficient

Other formulas in Newtonian Flow category

How to Evaluate Pressure Coefficient for Slender Bodies of Revolution?

FAQs on Pressure Coefficient for Slender Bodies of Revolution

Variable Name

GoPressure Coefficient for Slender 2D Bodies Formula

GoModified Newtonian Law Formula