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Pressure Coefficient Calculator

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✖Surface Pressure at Point is the static pressure at that point on the surface.ⓘ Surface Pressure at Point [P]			+10% -10%
✖Freestream Pressure is the pressure of fluid that hasn't encountered any disturbance.ⓘ Freestream Pressure [p_∞]			+10% -10%
✖Freestream Dynamic Pressure is the kinetic energy per unit volume of fluid at some distance from the body where the density and velocity are freestream values.ⓘ Freestream Dynamic Pressure [q_∞]			+10% -10%

✖Pressure Coefficient is a dimensionless parameter and it expresses the local pressure at a certain point on a surface relative to the freestream or ambient pressure.ⓘ Pressure Coefficient [C_p]

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Pressure Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Coefficient = (Surface Pressure at Point-Freestream Pressure)/(Freestream Dynamic Pressure)
C_p = (P-p_∞)/(q_∞)
This formula uses 4 Variables

Variables Used

Pressure Coefficient - Pressure Coefficient is a dimensionless parameter and it expresses the local pressure at a certain point on a surface relative to the freestream or ambient pressure.
Surface Pressure at Point - (Measured in Pascal) - Surface Pressure at Point is the static pressure at that point on the surface.
Freestream Pressure - (Measured in Pascal) - Freestream Pressure is the pressure of fluid that hasn't encountered any disturbance.
Freestream Dynamic Pressure - (Measured in Pascal) - Freestream Dynamic Pressure is the kinetic energy per unit volume of fluid at some distance from the body where the density and velocity are freestream values.

STEP 1: Convert Input(s) to Base Unit

Surface Pressure at Point: 61670 Pascal --> 61670 Pascal No Conversion Required
Freestream Pressure: 29900 Pascal --> 29900 Pascal No Conversion Required
Freestream Dynamic Pressure: 39000 Pascal --> 39000 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p = (P-p_∞)/(q_∞) --> (61670-29900)/(39000)

Evaluating ... ...

C_p = 0.814615384615385

STEP 3: Convert Result to Output's Unit

0.814615384615385 --> No Conversion Required

FINAL ANSWER

0.814615384615385 ≈ 0.814615 <-- Pressure Coefficient

(Calculation completed in 00.004 seconds)

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Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< Bernoulli's Equation and Pressure Concepts Calculators

Pressure at Downstream Point by Bernoulli's Equation

LaTeX Go Pressure at Point 2 = Pressure at Point 1+0.5*Density*(Velocity at Point 1^2-Velocity at Point 2^2)

Pressure at Upstream Point by Bernoulli's Equation

LaTeX Go Pressure at Point 1 = Pressure at Point 2-0.5*Density*(Velocity at Point 1^2-Velocity at Point 2^2)

Pressure Coefficient using Velocity Ratio

LaTeX Go Pressure Coefficient = 1-(Velocity at a Point/Freestream Velocity)^2

Static Pressure in Incompressible Flow

LaTeX Go Static Pressure at Point 1 = Total Pressure-Dynamic Pressure

Pressure Coefficient Formula

LaTeX Go

Pressure Coefficient = (Surface Pressure at Point-Freestream Pressure)/(Freestream Dynamic Pressure)
C_p = (P-p_∞)/(q_∞)

How does pressure coefficient varies in incompressible flow?

The pressure coefficient in incompressible flow is a function only of location on the surface of the body, body shape and orientation. The pressure coefficient will not change with free stream pressure and density as long as the flow is incompressible.

How to Calculate Pressure Coefficient?

Pressure Coefficient calculator uses Pressure Coefficient = (Surface Pressure at Point-Freestream Pressure)/(Freestream Dynamic Pressure) to calculate the Pressure Coefficient, Pressure Coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure. Pressure Coefficient is denoted by C_p symbol.

How to calculate Pressure Coefficient using this online calculator? To use this online calculator for Pressure Coefficient, enter Surface Pressure at Point (P), Freestream Pressure (p_∞) & Freestream Dynamic Pressure (q_∞) and hit the calculate button. Here is how the Pressure Coefficient calculation can be explained with given input values -> 0.814615 = (61670-29900)/(39000).

FAQ

What is Pressure Coefficient?

Pressure Coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure and is represented as C_p = (P-p_∞)/(q_∞) or Pressure Coefficient = (Surface Pressure at Point-Freestream Pressure)/(Freestream Dynamic Pressure). Surface Pressure at Point is the static pressure at that point on the surface, Freestream Pressure is the pressure of fluid that hasn't encountered any disturbance & Freestream Dynamic Pressure is the kinetic energy per unit volume of fluid at some distance from the body where the density and velocity are freestream values.

How to calculate Pressure Coefficient?

Pressure Coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure is calculated using Pressure Coefficient = (Surface Pressure at Point-Freestream Pressure)/(Freestream Dynamic Pressure). To calculate Pressure Coefficient, you need Surface Pressure at Point (P), Freestream Pressure (p_∞) & Freestream Dynamic Pressure (q_∞). With our tool, you need to enter the respective value for Surface Pressure at Point, Freestream Pressure & Freestream Dynamic Pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Pressure Coefficient?

In this formula, Pressure Coefficient uses Surface Pressure at Point, Freestream Pressure & Freestream Dynamic Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -

Pressure Coefficient = 1-(Velocity at a Point/Freestream Velocity)^2

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