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Pressure Coefficient using Velocity Ratio Formula

GoPressure Coefficient 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 = 1 - {(\frac{V}{u ∞})}^{2}

C_p - Pressure Coefficient?V - Velocity at a Point?u_∞ - Freestream Velocity?

Pressure Coefficient using Velocity Ratio Example

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

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

Here is how the Pressure Coefficient using Velocity Ratio equation looks like.

0.8174 = 1 - {(\frac{47}{110})}^{2}

0.8174 = 1 - {(\frac{47m/s}{110m/s})}^{2}

0.8174 = 1 - {(\frac{47}{110})}^{2}

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Pressure Coefficient using Velocity Ratio Solution

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

FIRST Step Consider the formula

C p = 1 - {(\frac{V}{u ∞})}^{2}

Next Step Substitute values of Variables

∴

C p = 1 - {(\frac{47m/s}{110m/s})}^{2}

Next Step Prepare to Evaluate

∴

C p = 1 - {(\frac{47}{110})}^{2}

Next Step Evaluate

∴

C p = 0.817438016528926

LAST Step Rounding Answer

∴

C p = 0.8174

Pressure Coefficient using Velocity Ratio 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

Velocity at a Point

Velocity at a Point denotes the direction as well as the speed of the flow at that point.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity at a Point

Freestream Velocity

Freestream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.

Symbol: u_∞

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Freestream Velocity

Other Formulas to find Pressure Coefficient

Go Pressure Coefficient

C p = \frac{P - p ∞}{q ∞}

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 using Velocity Ratio?

Pressure Coefficient using Velocity Ratio evaluator uses Pressure Coefficient = 1-(Velocity at a Point/Freestream Velocity)^2 to evaluate the Pressure Coefficient, Pressure coefficient using velocity ratio is a function of surface velocity and freestream velocity. Pressure Coefficient is denoted by C_p symbol.

How to evaluate Pressure Coefficient using Velocity Ratio using this online evaluator? To use this online evaluator for Pressure Coefficient using Velocity Ratio, enter Velocity at a Point (V) & Freestream Velocity (u_∞) and hit the calculate button.

FAQs on Pressure Coefficient using Velocity Ratio

What is the formula to find Pressure Coefficient using Velocity Ratio?

The formula of Pressure Coefficient using Velocity Ratio is expressed as Pressure Coefficient = 1-(Velocity at a Point/Freestream Velocity)^2. Here is an example- 0.923573 = 1-(47/110)^2.

How to calculate Pressure Coefficient using Velocity Ratio?

With Velocity at a Point (V) & Freestream Velocity (u_∞) we can find Pressure Coefficient using Velocity Ratio using the formula - Pressure Coefficient = 1-(Velocity at a Point/Freestream Velocity)^2.

What are the other ways to Calculate Pressure Coefficient?

Here are the different ways to Calculate Pressure Coefficient-

Pressure Coefficient=(Surface Pressure at Point-Freestream Pressure)/(Freestream Dynamic Pressure)

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Pressure Coefficient using Velocity Ratio Formula

​GoPressure Coefficient Formula

Pressure Coefficient using Velocity Ratio Example

Pressure Coefficient using Velocity Ratio Solution

Pressure Coefficient using Velocity Ratio Formula Elements

Other Formulas to find Pressure Coefficient

Other formulas in Bernoulli's Equation and Pressure Concepts category

How to Evaluate Pressure Coefficient using Velocity Ratio?

FAQs on Pressure Coefficient using Velocity Ratio

Variable Name

GoPressure Coefficient Formula