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Surface Pressure Coefficient for Flow over Sphere 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 = 1 - \frac{9}{4} \cdot {(\sin (θ))}^{2}

C_p - Pressure Coefficient?θ - Polar Angle?

Surface Pressure Coefficient for Flow over Sphere Example

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Here is how the Surface Pressure Coefficient for Flow over Sphere equation looks like with Values.

Here is how the Surface Pressure Coefficient for Flow over Sphere equation looks like with Units.

Here is how the Surface Pressure Coefficient for Flow over Sphere equation looks like.

0.0662 = 1 - \frac{9}{4} \cdot {(\sin (0.7))}^{2}

0.0662 = 1 - \frac{9}{4} \cdot {(\sin (0.7rad))}^{2}

0.0662 = 1 - \frac{9}{4} \cdot {(\sin (0.7))}^{2}

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Surface Pressure Coefficient for Flow over Sphere Solution

Follow our step by step solution on how to calculate Surface Pressure Coefficient for Flow over Sphere?

FIRST Step Consider the formula

C p = 1 - \frac{9}{4} \cdot {(\sin (θ))}^{2}

Next Step Substitute values of Variables

∴

C p = 1 - \frac{9}{4} \cdot {(\sin (0.7rad))}^{2}

Next Step Prepare to Evaluate

∴

C p = 1 - \frac{9}{4} \cdot {(\sin (0.7))}^{2}

Next Step Evaluate

∴

C p = 0.0662130357627712

LAST Step Rounding Answer

∴

C p = 0.0662

Surface Pressure Coefficient for Flow over Sphere Formula Elements

Variables

Functions

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

Polar Angle

Polar Angle is the angular position of a point from a reference direction.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Polar Angle

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.

Syntax: sin(Angle)

Other formulas in Pressure Coefficient category

Go Polar Coordinate given Surface Pressure Coefficient

θ = a \sin (\sqrt{\frac{4}{9} \cdot (1 - C p)})

How to Evaluate Surface Pressure Coefficient for Flow over Sphere?

Surface Pressure Coefficient for Flow over Sphere evaluator uses Pressure Coefficient = 1-9/4*(sin(Polar Angle))^2 to evaluate the Pressure Coefficient, The Surface Pressure Coefficient for Flow over Sphere formula calculates the pressure coefficient over the surface of the sphere at different locations. Pressure Coefficient is denoted by C_p symbol.

How to evaluate Surface Pressure Coefficient for Flow over Sphere using this online evaluator? To use this online evaluator for Surface Pressure Coefficient for Flow over Sphere, enter Polar Angle (θ) and hit the calculate button.

FAQs on Surface Pressure Coefficient for Flow over Sphere

What is the formula to find Surface Pressure Coefficient for Flow over Sphere?

The formula of Surface Pressure Coefficient for Flow over Sphere is expressed as Pressure Coefficient = 1-9/4*(sin(Polar Angle))^2. Here is an example- 0.066213 = 1-9/4*(sin(0.7))^2.

How to calculate Surface Pressure Coefficient for Flow over Sphere?

With Polar Angle (θ) we can find Surface Pressure Coefficient for Flow over Sphere using the formula - Pressure Coefficient = 1-9/4*(sin(Polar Angle))^2. This formula also uses Sine (sin) function(s).

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