Pressure Coefficient using Velocity Ratio Calculator

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Fundamentals of Inviscid and Incompressible Flow

Compressible Flow

Three-Dimensional Incompressible Flow

Two-Dimensional Incompressible Flow

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Bernoulli's Equation and Pressure Concepts

Aerodynamic Measurements and Wind Tunnel Testing

✖Velocity at a Point denotes the direction as well as the speed of the flow at that point.ⓘ Velocity at a Point [V]			+10% -10%
✖Freestream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.ⓘ Freestream Velocity [u_∞]			+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 using Velocity Ratio [C_p]

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Formula

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Pressure Coefficient using Velocity Ratio

Formula

`"C"_{"p"} = 1-("V"/"u"_{"∞"})^2`

Example

`"0.817438"=1-("47m/s"/"110m/s")^2`

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Download Fundamentals of Inviscid and Incompressible Flow Formulas PDF

Pressure Coefficient using Velocity Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Coefficient = 1-(Velocity at a Point/Freestream Velocity)^2
C_p = 1-(V/u_∞)^2
This formula uses 3 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.
Velocity at a Point - (Measured in Meter per Second) - Velocity at a Point denotes the direction as well as the speed of the flow at that point.
Freestream Velocity - (Measured in Meter per Second) - Freestream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.

STEP 1: Convert Input(s) to Base Unit

Velocity at a Point: 47 Meter per Second --> 47 Meter per Second No Conversion Required
Freestream Velocity: 110 Meter per Second --> 110 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p = 1-(V/u_∞)^2 --> 1-(47/110)^2

Evaluating ... ...

C_p = 0.817438016528926

STEP 3: Convert Result to Output's Unit

0.817438016528926 --> No Conversion Required

FINAL ANSWER

0.817438016528926 ≈ 0.817438 <-- Pressure Coefficient

(Calculation completed in 00.004 seconds)

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Home » Physics » Aerodynamics » Fundamentals of Inviscid and Incompressible Flow » Bernoulli's Equation and Pressure Concepts » Pressure Coefficient using Velocity Ratio

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Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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National Institute Of Technology (NIT), Hamirpur

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< 6 Bernoulli's Equation and Pressure Concepts Calculators

Pressure at Downstream Point by Bernoulli's Equation

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

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

Pressure Coefficient

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

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

Go Velocity at a Point = sqrt(Freestream Velocity^2*(1-Pressure Coefficient))

Pressure Coefficient using Velocity Ratio

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

Static Pressure in Incompressible Flow

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

Pressure Coefficient using Velocity Ratio Formula

Pressure Coefficient = 1-(Velocity at a Point/Freestream Velocity)^2
C_p = 1-(V/u_∞)^2

What is 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.

What is the highest value of pressure coefficient in an incompressible flow?

The highest value of the pressure coefficient is equal to one at the stagnation point in an incompressible flow. For compressible flow pressure coefficient at the stagnation point is always greater than one.

How to Calculate Pressure Coefficient using Velocity Ratio?

Pressure Coefficient using Velocity Ratio calculator uses Pressure Coefficient = 1-(Velocity at a Point/Freestream Velocity)^2 to calculate 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 calculate Pressure Coefficient using Velocity Ratio using this online calculator? To use this online calculator for Pressure Coefficient using Velocity Ratio, enter Velocity at a Point (V) & Freestream Velocity (u_∞) and hit the calculate button. Here is how the Pressure Coefficient using Velocity Ratio calculation can be explained with given input values -> 0.923573 = 1-(47/110)^2.

FAQ

What is Pressure Coefficient using Velocity Ratio?

Pressure coefficient using velocity ratio is a function of surface velocity and freestream velocity and is represented as C_p = 1-(V/u_∞)^2 or Pressure Coefficient = 1-(Velocity at a Point/Freestream Velocity)^2. Velocity at a Point denotes the direction as well as the speed of the flow at that point & Freestream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.

How to calculate Pressure Coefficient using Velocity Ratio?

Pressure coefficient using velocity ratio is a function of surface velocity and freestream velocity is calculated using Pressure Coefficient = 1-(Velocity at a Point/Freestream Velocity)^2. To calculate Pressure Coefficient using Velocity Ratio, you need Velocity at a Point (V) & Freestream Velocity (u_∞). With our tool, you need to enter the respective value for Velocity at a Point & Freestream Velocity 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 Velocity at a Point & Freestream Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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