Surface Pressure Coefficient for Flow over Sphere Calculator

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Three-Dimensional Incompressible Flow

Compressible Flow

Fundamentals of Inviscid and Incompressible Flow

Two-Dimensional Incompressible Flow

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✖Polar Angle is the angular position of a point from a reference direction.ⓘ Polar Angle [θ]

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✖Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.ⓘ Surface Pressure Coefficient for Flow over Sphere [C_p]

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Formula

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Surface Pressure Coefficient for Flow over Sphere

Formula

`"C"_{"p"} = 1-9/4*(sin("θ"))^2`

Example

`"0.066213"=1-9/4*(sin("0.7rad"))^2`

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Download Three-Dimensional Incompressible Flow Formulas PDF

Surface Pressure Coefficient for Flow over Sphere Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Coefficient = 1-9/4*(sin(Polar Angle))^2
C_p = 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

C_p = 1-9/4*(sin(θ))^2 --> 1-9/4*(sin(0.7))^2

Evaluating ... ...

C_p = 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)

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Created by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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National Institute Of Technology (NIT), Hamirpur

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< 2 Pressure Coefficient Calculators

Polar Coordinate given Surface Pressure Coefficient

Go Polar Angle = asin(sqrt(4/9*(1-Pressure Coefficient)))

Surface Pressure Coefficient for Flow over Sphere

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

Surface Pressure Coefficient for Flow over Sphere Formula

Pressure Coefficient = 1-9/4*(sin(Polar Angle))^2
C_p = 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 C_p 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 C_p = 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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