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Pressure Coefficient Formula

GoPressure Coefficient using Velocity Ratio Formula

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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. Check FAQs

C p = \frac{P - p ∞}{q ∞}

C_p - Pressure Coefficient?P - Surface Pressure at Point?p_∞ - Freestream Pressure?q_∞ - Freestream Dynamic Pressure?

Pressure Coefficient Example

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With units

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Here is how the Pressure Coefficient equation looks like with Values.

Here is how the Pressure Coefficient equation looks like with Units.

Here is how the Pressure Coefficient equation looks like.

0.8146 = \frac{61670 - 29900}{39000}

0.8146 = \frac{61670Pa - 29900Pa}{39000Pa}

0.8146 = \frac{61670 - 29900}{39000}

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Pressure Coefficient Solution

Follow our step by step solution on how to calculate Pressure Coefficient?

FIRST Step Consider the formula

C p = \frac{P - p ∞}{q ∞}

Next Step Substitute values of Variables

∴

C p = \frac{61670Pa - 29900Pa}{39000Pa}

Next Step Prepare to Evaluate

∴

C p = \frac{61670 - 29900}{39000}

Next Step Evaluate

∴

C p = 0.814615384615385

LAST Step Rounding Answer

∴

C p = 0.8146

Pressure Coefficient Formula Elements

Variables

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.

Symbol: C_p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Pressure Coefficient

Surface Pressure at Point

Surface Pressure at Point is the static pressure at that point on the surface.

Symbol: P

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Surface Pressure at Point

Freestream Pressure

Freestream Pressure is the pressure of fluid that hasn't encountered any disturbance.

Symbol: p_∞

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Freestream Pressure

Freestream Dynamic Pressure

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.

Symbol: q_∞

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Freestream Dynamic Pressure

Other Formulas to find Pressure Coefficient

Go Pressure Coefficient using Velocity Ratio

C p = 1 - {(\frac{V}{u ∞})}^{2}

Other formulas in Bernoulli's Equation and Pressure Concepts category

Go Pressure at Downstream Point by Bernoulli's Equation

P 2 = P 1 + 0.5 \cdot ρ 0 \cdot ({V 1}^{2} - {V 2}^{2})

Go Pressure at Upstream Point by Bernoulli's Equation

P 1 = P 2 - 0.5 \cdot ρ 0 \cdot ({V 1}^{2} - {V 2}^{2})

Go Static Pressure in Incompressible Flow

P 1 static = P 0 - q 1

Go Velocity at Point on Airfoil for given Pressure Coefficient and Free-Stream Velocity

V = \sqrt{{u ∞}^{2} \cdot (1 - C p)}

How to Evaluate Pressure Coefficient?

Pressure Coefficient evaluator uses Pressure Coefficient = (Surface Pressure at Point-Freestream Pressure)/(Freestream Dynamic Pressure) to evaluate 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 evaluate Pressure Coefficient using this online evaluator? To use this online evaluator for Pressure Coefficient, enter Surface Pressure at Point (P), Freestream Pressure (p_∞) & Freestream Dynamic Pressure (q_∞) and hit the calculate button.

FAQs on Pressure Coefficient

What is the formula to find Pressure Coefficient?

The formula of Pressure Coefficient is expressed as Pressure Coefficient = (Surface Pressure at Point-Freestream Pressure)/(Freestream Dynamic Pressure). Here is an example- 0.814615 = (61670-29900)/(39000).

How to calculate Pressure Coefficient?

With Surface Pressure at Point (P), Freestream Pressure (p_∞) & Freestream Dynamic Pressure (q_∞) we can find Pressure Coefficient using the formula - Pressure Coefficient = (Surface Pressure at Point-Freestream Pressure)/(Freestream Dynamic Pressure).

What are the other ways to Calculate Pressure Coefficient?

Here are the different ways to Calculate Pressure Coefficient-

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

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Pressure Coefficient Formula

​GoPressure Coefficient using Velocity Ratio Formula

Pressure Coefficient Example

Pressure Coefficient Solution

Pressure Coefficient Formula Elements

Other Formulas to find Pressure Coefficient

Other formulas in Bernoulli's Equation and Pressure Concepts category

How to Evaluate Pressure Coefficient?

FAQs on Pressure Coefficient

Variable Name

GoPressure Coefficient using Velocity Ratio Formula