FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Free stream velocity given local friction coefficient Formula

Fx Copy

LaTeX Copy

Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity. Check FAQs

u ∞ = \sqrt{\frac{2 \cdot τ w}{ρ \cdot C fx}}

u_∞ - Free Stream Velocity?τ_w - Wall Shear Stress?ρ - Density?C_fx - Local Friction Coefficient?

Free stream velocity given local friction coefficient Example

With values

With units

Only example

Here is how the Free stream velocity given local friction coefficient equation looks like with Values.

Here is how the Free stream velocity given local friction coefficient equation looks like with Units.

Here is how the Free stream velocity given local friction coefficient equation looks like.

70 = \sqrt{\frac{2 \cdot 801189.2}{997 \cdot 0.328}}

70m/s = \sqrt{\frac{2 \cdot 801189.2Pa}{997kg/m³ \cdot 0.328}}

70 = \sqrt{\frac{2 \cdot 801189.2}{997 \cdot 0.328}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Heat and Mass Transfer » fx Free stream velocity given local friction coefficient

Free stream velocity given local friction coefficient Solution

Follow our step by step solution on how to calculate Free stream velocity given local friction coefficient?

FIRST Step Consider the formula

u ∞ = \sqrt{\frac{2 \cdot τ w}{ρ \cdot C fx}}

Next Step Substitute values of Variables

∴

u ∞ = \sqrt{\frac{2 \cdot 801189.2Pa}{997kg/m³ \cdot 0.328}}

Next Step Prepare to Evaluate

∴

u ∞ = \sqrt{\frac{2 \cdot 801189.2}{997 \cdot 0.328}}

LAST Step Evaluate

∴

u ∞ = 70m/s

Free stream velocity given local friction coefficient Formula Elements

Variables

Functions

Free Stream Velocity

Free Stream 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 Free Stream Velocity

Wall Shear Stress

Wall shear stress is defined as the shear stress in the layer of fluid next to the wall of a pipe.

Symbol: τ_w

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Wall Shear Stress

Density

The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Local Friction Coefficient

Local Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream.

Symbol: C_fx

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Local Friction Coefficient

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.

Syntax: sqrt(Number)

Other formulas in Laminar Flow category

Go Hydrodynamic boundary layer thickness at distance X from leading edge

𝛿hx = 5 \cdot x \cdot {Re x}^{- 0.5}

Go Thermal boundary layer thickness at distance X from leading edge

𝛿Tx = 𝛿hx \cdot {Pr}^{- 0.333}

Go Displacement thickness

𝛿 d = \frac{𝛿hx}{3}

Go Momentum thickness

θ = \frac{𝛿hx}{7}

How to Evaluate Free stream velocity given local friction coefficient?

Free stream velocity given local friction coefficient evaluator uses Free Stream Velocity = sqrt((2*Wall Shear Stress)/(Density*Local Friction Coefficient)) to evaluate the Free Stream Velocity, Free stream velocity given local friction coefficient formula is defined as the velocity of a fluid when it is far away from a boundary or wall, unaffected by the presence of the wall, and is a critical parameter in understanding the behavior of fluid flow over a flat plate. Free Stream Velocity is denoted by u_∞ symbol.

How to evaluate Free stream velocity given local friction coefficient using this online evaluator? To use this online evaluator for Free stream velocity given local friction coefficient, enter Wall Shear Stress (τ_w), Density (ρ) & Local Friction Coefficient (C_fx) and hit the calculate button.

FAQs on Free stream velocity given local friction coefficient

What is the formula to find Free stream velocity given local friction coefficient?

The formula of Free stream velocity given local friction coefficient is expressed as Free Stream Velocity = sqrt((2*Wall Shear Stress)/(Density*Local Friction Coefficient)). Here is an example- 0.146307 = sqrt((2*801189.2)/(997*0.328)).

How to calculate Free stream velocity given local friction coefficient?

With Wall Shear Stress (τ_w), Density (ρ) & Local Friction Coefficient (C_fx) we can find Free stream velocity given local friction coefficient using the formula - Free Stream Velocity = sqrt((2*Wall Shear Stress)/(Density*Local Friction Coefficient)). This formula also uses Square Root (sqrt) function(s).

Can the Free stream velocity given local friction coefficient be negative?

Yes, the Free stream velocity given local friction coefficient, measured in Speed can be negative.

Which unit is used to measure Free stream velocity given local friction coefficient?

Free stream velocity given local friction coefficient is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Free stream velocity given local friction coefficient can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Free stream velocity given local friction coefficient Formula

Free stream velocity given local friction coefficient Example

Free stream velocity given local friction coefficient Solution

Free stream velocity given local friction coefficient Formula Elements

Other formulas in Laminar Flow category

How to Evaluate Free stream velocity given local friction coefficient?

FAQs on Free stream velocity given local friction coefficient

Variable Name