Surface Pressure Coefficient for Flow over Sphere Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure Coefficient = 1-9/4*(sin(Polar Angle))^2
Cp = 1-9/4*(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
Pressure Coefficient - Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.
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: 0.7 Radian --> 0.7 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cp = 1-9/4*(sin(θ))^2 --> 1-9/4*(sin(0.7))^2
Evaluating ... ...
Cp = 0.0662130357627712
STEP 3: Convert Result to Output's Unit
0.0662130357627712 --> No Conversion Required
FINAL ANSWER
0.0662130357627712 0.066213 <-- Pressure Coefficient
(Calculation completed in 00.004 seconds)

Credits

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Created by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Pressure Coefficient Calculators

Polar Coordinate given Surface Pressure Coefficient
​ LaTeX ​ Go Polar Angle = asin(sqrt(4/9*(1-Pressure Coefficient)))
Surface Pressure Coefficient for Flow over Sphere
​ LaTeX ​ Go Pressure Coefficient = 1-9/4*(sin(Polar Angle))^2

Surface Pressure Coefficient for Flow over Sphere Formula

​LaTeX ​Go
Pressure Coefficient = 1-9/4*(sin(Polar Angle))^2
Cp = 1-9/4*(sin(θ))^2

What is the 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 Flow over Sphere?

Surface Pressure Coefficient for Flow over Sphere calculator uses Pressure Coefficient = 1-9/4*(sin(Polar Angle))^2 to calculate 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 Cp symbol.

How to calculate Surface Pressure Coefficient for Flow over Sphere using this online calculator? To use this online calculator for Surface Pressure Coefficient for Flow over Sphere, enter Polar Angle (θ) and hit the calculate button. Here is how the Surface Pressure Coefficient for Flow over Sphere calculation can be explained with given input values -> 0.066213 = 1-9/4*(sin(0.7))^2.

FAQ

What is Surface Pressure Coefficient for Flow over Sphere?
The Surface Pressure Coefficient for Flow over Sphere formula calculates the pressure coefficient over the surface of the sphere at different locations and is represented as Cp = 1-9/4*(sin(θ))^2 or Pressure Coefficient = 1-9/4*(sin(Polar Angle))^2. Polar Angle is the angular position of a point from a reference direction.
How to calculate Surface Pressure Coefficient for Flow over Sphere?
The Surface Pressure Coefficient for Flow over Sphere formula calculates the pressure coefficient over the surface of the sphere at different locations is calculated using Pressure Coefficient = 1-9/4*(sin(Polar Angle))^2. To calculate Surface Pressure Coefficient for Flow over Sphere, 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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