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Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder Formula

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Surface Pressure Coefficient quantifies the local pressure variation on the cylinder's surface due to lift generation. Check FAQs

C p = 1 - 4 \cdot {(\sin (θ))}^{2}

C_p - Surface Pressure Coefficient?θ - Polar Angle?

Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder Example

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Here is how the Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder equation looks like with Values.

Here is how the Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder equation looks like with Units.

Here is how the Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder equation looks like.

-1.4544 = 1 - 4 \cdot {(\sin (0.9))}^{2}

-1.4544 = 1 - 4 \cdot {(\sin (0.9rad))}^{2}

-1.4544 = 1 - 4 \cdot {(\sin (0.9))}^{2}

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Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder Solution

Follow our step by step solution on how to calculate Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder?

FIRST Step Consider the formula

C p = 1 - 4 \cdot {(\sin (θ))}^{2}

Next Step Substitute values of Variables

∴

C p = 1 - 4 \cdot {(\sin (0.9rad))}^{2}

Next Step Prepare to Evaluate

∴

C p = 1 - 4 \cdot {(\sin (0.9))}^{2}

Next Step Evaluate

∴

C p = -1.45440418938617

LAST Step Rounding Answer

∴

C p = -1.4544

Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder Formula Elements

Variables

Functions

Surface Pressure Coefficient

Surface Pressure Coefficient quantifies the local pressure variation on the cylinder's surface due to lift generation.

Symbol: C_p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Surface 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 Nonlifting Flow over Cylinder category

Go Stream Function for Non-Lifting Flow over Circular Cylinder

ψ = V ∞ \cdot r \cdot \sin (θ) \cdot (1 - {(\frac{R}{r})}^{2})

Go Tangential Velocity for Non-Lifting Flow over Circular Cylinder

V θ = - (1 + {(\frac{R}{r})}^{2}) \cdot V ∞ \cdot \sin (θ)

Go Radial Velocity for Non-Lifting Flow over Circular Cylinder

V r = (1 - {(\frac{R}{r})}^{2}) \cdot V ∞ \cdot \cos (θ)

Go Radius of Cylinder for Non-Lifting Flow

R = \sqrt{\frac{κ}{2 \cdot π \cdot V ∞}}

How to Evaluate Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder?

Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder evaluator uses Surface Pressure Coefficient = 1-4*(sin(Polar Angle))^2 to evaluate the Surface Pressure Coefficient, The Surface pressure coefficient for non-lifting flow over circular cylinder formula is defined as the function of the polar angle only. Surface Pressure Coefficient is denoted by C_p symbol.

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

FAQs on Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder

What is the formula to find Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder?

The formula of Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder is expressed as Surface Pressure Coefficient = 1-4*(sin(Polar Angle))^2. Here is an example- -1.454404 = 1-4*(sin(0.9))^2.

How to calculate Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder?

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

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