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

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✖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 [C_p]			+10% -10%

✖Velocity at a Point denotes the direction as well as the speed of the flow at that point.ⓘ Velocity at Point on Airfoil for given Pressure Coefficient and Free-Stream Velocity [V]

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

STEP 0: Pre-Calculation Summary

Formula Used

Velocity at a Point = sqrt(Freestream Velocity^2*(1-Pressure Coefficient))
V = sqrt(u_∞^2*(1-C_p))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Freestream Velocity: 110 Meter per Second --> 110 Meter per Second No Conversion Required
Pressure Coefficient: 0.814 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = sqrt(u_∞^2*(1-C_p)) --> sqrt(110^2*(1-0.814))

Evaluating ... ...

V = 47.4404890362652

STEP 3: Convert Result to Output's Unit

47.4404890362652 Meter per Second --> No Conversion Required

FINAL ANSWER

47.4404890362652 ≈ 47.44049 Meter per Second <-- Velocity at a Point

(Calculation completed in 00.020 seconds)

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Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has created this Calculator and 100+ more calculators!

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has verified this Calculator and 100+ more calculators!

< 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

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

LaTeX Go

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

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

The highest value of the pressure coefficient occurs at the stagnation point in an incompressible flow. Its highest value is one. For compressible flows, the pressure coefficient at a stagnation point is greater than one.

How to Calculate Velocity at Point on Airfoil for given Pressure Coefficient and Free-Stream Velocity?

Velocity at Point on Airfoil for given Pressure Coefficient and Free-Stream Velocity calculator uses Velocity at a Point = sqrt(Freestream Velocity^2*(1-Pressure Coefficient)) to calculate the Velocity at a Point, Velocity at point on airfoil for given pressure coefficient and free-stream velocity formula is product of free stream velocity into square root of one minus pressure coefficient in incompressible flow. Velocity at a Point is denoted by V symbol.

How to calculate Velocity at Point on Airfoil for given Pressure Coefficient and Free-Stream Velocity using this online calculator? To use this online calculator for Velocity at Point on Airfoil for given Pressure Coefficient and Free-Stream Velocity, enter Freestream Velocity (u_∞) & Pressure Coefficient (C_p) and hit the calculate button. Here is how the Velocity at Point on Airfoil for given Pressure Coefficient and Free-Stream Velocity calculation can be explained with given input values -> 47.44049 = sqrt(110^2*(1-0.814)).

FAQ

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

Velocity at point on airfoil for given pressure coefficient and free-stream velocity formula is product of free stream velocity into square root of one minus pressure coefficient in incompressible flow and is represented as V = sqrt(u_∞^2*(1-C_p)) or Velocity at a Point = sqrt(Freestream Velocity^2*(1-Pressure Coefficient)). Freestream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity & 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.

How to calculate Velocity at Point on Airfoil for given Pressure Coefficient and Free-Stream Velocity?

Velocity at point on airfoil for given pressure coefficient and free-stream velocity formula is product of free stream velocity into square root of one minus pressure coefficient in incompressible flow is calculated using Velocity at a Point = sqrt(Freestream Velocity^2*(1-Pressure Coefficient)). To calculate Velocity at Point on Airfoil for given Pressure Coefficient and Free-Stream Velocity, you need Freestream Velocity (u_∞) & Pressure Coefficient (C_p). With our tool, you need to enter the respective value for Freestream Velocity & Pressure Coefficient 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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