Free stream velocity given local friction coefficient Calculator

✖Wall shear stress is defined as the shear stress in the layer of fluid next to the wall of a pipe.ⓘ Wall Shear Stress [τ_w]			+10% -10%
✖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.ⓘ Density [ρ]			+10% -10%
✖Local Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream.ⓘ Local Friction Coefficient [C_fx]			+10% -10%

✖Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.ⓘ Free stream velocity given local friction coefficient [u_∞]

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Free stream velocity given local friction coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Free Stream Velocity = sqrt((2*Wall Shear Stress)/(Density*Local Friction Coefficient))
u_∞ = sqrt((2*τ_w)/(ρ*C_fx))
This formula uses 1 Functions, 4 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

Free Stream Velocity - (Measured in Meter per Second) - Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.
Wall Shear Stress - (Measured in Pascal) - Wall shear stress is defined as the shear stress in the layer of fluid next to the wall of a pipe.
Density - (Measured in Kilogram per Cubic Meter) - 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.
Local Friction Coefficient - Local Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream.

STEP 1: Convert Input(s) to Base Unit

Wall Shear Stress: 801189.2 Pascal --> 801189.2 Pascal No Conversion Required
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Local Friction Coefficient: 0.328 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_∞ = sqrt((2*τ_w)/(ρ*C_fx)) --> sqrt((2*801189.2)/(997*0.328))

Evaluating ... ...

u_∞ = 70

STEP 3: Convert Result to Output's Unit

70 Meter per Second --> No Conversion Required

FINAL ANSWER

70 Meter per Second <-- Free Stream Velocity

(Calculation completed in 00.020 seconds)

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< Laminar Flow Calculators

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Free stream velocity given local friction coefficient Formula

LaTeX Go

Free Stream Velocity = sqrt((2*Wall Shear Stress)/(Density*Local Friction Coefficient))
u_∞ = sqrt((2*τ_w)/(ρ*C_fx))

What is external flow?

In fluid mechanics, external flow is such a flow that boundary layers develop freely, without constraints imposed by adjacent surfaces. Accordingly, there will always exist a region of the flow outside the boundary layer in which velocity, temperature, and/or concentration gradients are negligible. It can be defined as the flow of a fluid around a body that is completely submerged in it.
An example includes fluid motion over a flat plate (inclined or parallel to the free stream velocity) and flow over curved surfaces such as a sphere, cylinder, airfoil, or turbine blade, air flowing around an airplane and water flowing around the submarines.

How to Calculate Free stream velocity given local friction coefficient?

Free stream velocity given local friction coefficient calculator uses Free Stream Velocity = sqrt((2*Wall Shear Stress)/(Density*Local Friction Coefficient)) to calculate 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 calculate Free stream velocity given local friction coefficient using this online calculator? To use this online calculator 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. Here is how the Free stream velocity given local friction coefficient calculation can be explained with given input values -> 0.146307 = sqrt((2*801189.2)/(997*0.328)).

FAQ

What is Free stream velocity given local friction coefficient?

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 and is represented as u_∞ = sqrt((2*τ_w)/(ρ*C_fx)) or Free Stream Velocity = sqrt((2*Wall Shear Stress)/(Density*Local Friction Coefficient)). Wall shear stress is defined as the shear stress in the layer of fluid next to the wall of a pipe, 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 & Local Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream.

How to calculate Free stream velocity given local friction coefficient?

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 is calculated using Free Stream Velocity = sqrt((2*Wall Shear Stress)/(Density*Local Friction Coefficient)). To calculate Free stream velocity given local friction coefficient, you need Wall Shear Stress (τ_w), Density (ρ) & Local Friction Coefficient (C_fx). With our tool, you need to enter the respective value for Wall Shear Stress, Density & Local Friction 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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