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

✖Surface Pressure Coefficient quantifies the local pressure variation on the cylinder's surface due to lift generation.ⓘ Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder [C_p]

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Formula

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Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder

Formula

`"C"_{"p"} = 1-4*(sin("θ"))^2`

Example

`"-1.454404"=1-4*(sin("0.9rad"))^2`

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Download Nonlifting Flow over Cylinder Formulas PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

Surface Pressure Coefficient = 1-4*(sin(Polar Angle))^2
C_p = 1-4*(sin(θ))^2
This formula uses 1 Functions, 2 Variables

Functions Used

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., sin(Angle)

Variables Used

Surface Pressure Coefficient - Surface Pressure Coefficient quantifies the local pressure variation on the cylinder's surface due to lift generation.
Polar Angle - (Measured in Radian) - Polar Angle is the angular position of a point from a reference direction.

STEP 1: Convert Input(s) to Base Unit

Polar Angle: 0.9 Radian --> 0.9 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p = 1-4*(sin(θ))^2 --> 1-4*(sin(0.9))^2

Evaluating ... ...

C_p = -1.45440418938617

STEP 3: Convert Result to Output's Unit

-1.45440418938617 --> No Conversion Required

FINAL ANSWER

-1.45440418938617 ≈ -1.454404 <-- Surface Pressure Coefficient

(Calculation completed in 00.004 seconds)

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Home » Physics » Aerodynamics » Two-Dimensional Incompressible Flow » Flow and Lift Distribution » Flow over Cylinder » Nonlifting Flow over Cylinder » Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder

Credits

Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has created this Calculator and 100+ more calculators!

Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has verified this Calculator and 200+ more calculators!

< 10+ Nonlifting Flow over Cylinder Calculators

Stream Function for Non-Lifting Flow over Circular Cylinder

Go Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)*(1-(Cylinder Radius/Radial Coordinate)^2)

Angular Position given Tangential Velocity for Non-Lifting Flow over Circular Cylinder

Go Polar Angle = -arsin(Tangential Velocity/((1+Cylinder Radius^2/Radial Coordinate^2)*Freestream Velocity))

Tangential Velocity for Non-Lifting Flow over Circular Cylinder

Go Tangential Velocity = -(1+((Cylinder Radius)/(Radial Coordinate))^2)*Freestream Velocity*sin(Polar Angle)

Angular Position given Radial Velocity for Non-Lifting Flow over Circular Cylinder

Go Polar Angle = arccos(Radial Velocity/((1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity))

Radial Velocity for Non-Lifting Flow over Circular Cylinder

Go Radial Velocity = (1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity*cos(Polar Angle)

Radius of Cylinder for Non-Lifting Flow

Go Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity))

Freestream Velocity given Doublet Strength for Non-Lifting Flow over Circular Cylinder

Go Freestream Velocity = Doublet Strength/(Cylinder Radius^2*2*pi)

Doublet Strength given Radius of Cylinder for Non-Lifting Flow

Go Doublet Strength = Cylinder Radius^2*2*pi*Freestream Velocity

Angular Position given Pressure Coefficient for Non-Lifting Flow over Circular Cylinder

Go Polar Angle = arsin(sqrt(1-(Surface Pressure Coefficient))/2)

Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder

Go Surface Pressure Coefficient = 1-4*(sin(Polar Angle))^2

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

Surface Pressure Coefficient = 1-4*(sin(Polar Angle))^2
C_p = 1-4*(sin(θ))^2

What is the range of values of surface pressure coefficient for non-lifting flow?

The pressure coefficient varies from 1 at the stagnation point to -3 at the point of maximum velocity for non-lifting incompressible flow over a circular cylinder.

What is pressure coefficient?

The pressure coefficient is the dimensionless pressure used in aerodynamics. It is obtained as the ratio of the difference between surface pressure & free-stream pressure to the free stream dynamic pressure.

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

Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder calculator uses Surface Pressure Coefficient = 1-4*(sin(Polar Angle))^2 to calculate 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 calculate Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder using this online calculator? To use this online calculator for Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder, enter Polar Angle (θ) and hit the calculate button. Here is how the Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder calculation can be explained with given input values -> -1.454404 = 1-4*(sin(0.9))^2.

FAQ

What is Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder?

The Surface pressure coefficient for non-lifting flow over circular cylinder formula is defined as the function of the polar angle only and is represented as C_p = 1-4*(sin(θ))^2 or Surface Pressure Coefficient = 1-4*(sin(Polar Angle))^2. Polar Angle is the angular position of a point from a reference direction.

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

The Surface pressure coefficient for non-lifting flow over circular cylinder formula is defined as the function of the polar angle only is calculated using Surface Pressure Coefficient = 1-4*(sin(Polar Angle))^2. To calculate Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder, you need Polar Angle (θ). With our tool, you need to enter the respective value for Polar Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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