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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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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. Check FAQs

C p = 2 \cdot {(θ)}^{2} + k c \cdot y

C_p - Pressure Coefficient?θ - Angle of Inclination?k_c - 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.

0.8639 = 2 \cdot {(32)}^{2} + 0.2 \cdot 1.2

0.8639 = 2 \cdot {(32°)}^{2} + 0.2m \cdot 1.2m

0.8639 = 2 \cdot {(32)}^{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 c \cdot y

Next Step Substitute values of Variables

∴

C p = 2 \cdot {(32°)}^{2} + 0.2m \cdot 1.2m

Next Step Convert Units

∴

C p = 2 \cdot {(0.5585rad)}^{2} + 0.2m \cdot 1.2m

Next Step Prepare to Evaluate

∴

C p = 2 \cdot {(0.5585)}^{2} + 0.2 \cdot 1.2

Next Step Evaluate

∴

C p = 0.863856475722944

LAST Step Rounding Answer

∴

C p = 0.8639

Pressure Coefficient for Slender Bodies of Revolution Formula Elements

Variables

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.

Symbol: C_p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Pressure Coefficient

Angle of Inclination

The Angle of Inclination is the angle between a reference plane and the surface of a body, influencing the flow behavior in fluid mechanics.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Inclination

Curvature of Surface

The Curvature of Surface is a measure of how much a surface deviates from being flat, influencing fluid flow behavior in various mechanical applications.

Symbol: k_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Curvature of Surface

Distance of Point from Centroidal Axis

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.

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 c \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, Pressure Coefficient for Slender Bodies of Revolution formula is defined as a measure of the aerodynamic efficiency of slender bodies in hypersonic flow, reflecting the relationship between pressure variations and the body's curvature and angle of attack. 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_c) & 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- 0.302148 = 2*(0.55850536063808)^2+0.2*1.2.

How to calculate Pressure Coefficient for Slender Bodies of Revolution?

With Angle of Inclination (θ), Curvature of Surface (k_c) & 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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: Unit

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