Density 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%
✖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 [u_∞]			+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 given local friction coefficient [ρ]

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Density given local friction coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Wall Shear Stress: 801189.2 Pascal --> 801189.2 Pascal No Conversion Required
Local Friction Coefficient: 0.328 --> No Conversion Required
Free Stream Velocity: 70 Meter per Second --> 70 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = 2*τ_w/(C_fx*(u_∞^2)) --> 2*801189.2/(0.328*(70^2))

Evaluating ... ...

ρ = 997

STEP 3: Convert Result to Output's Unit

997 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

997 Kilogram per Cubic Meter <-- Density

(Calculation completed in 00.004 seconds)

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< Laminar Flow Calculators

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Density given local friction coefficient Formula

LaTeX Go

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

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 Density given local friction coefficient?

Density given local friction coefficient calculator uses Density = 2*Wall Shear Stress/(Local Friction Coefficient*(Free Stream Velocity^2)) to calculate the Density, Density given local friction coefficient formula is defined as a measure of mass per unit volume of a fluid, which is influenced by the local friction coefficient, and is a critical parameter in understanding the behavior of fluids in various flow regimes, particularly in the context of flow over a flat plate. Density is denoted by ρ symbol.

How to calculate Density given local friction coefficient using this online calculator? To use this online calculator for Density given local friction coefficient, enter Wall Shear Stress (τ_w), Local Friction Coefficient (C_fx) & Free Stream Velocity (u_∞) and hit the calculate button. Here is how the Density given local friction coefficient calculation can be explained with given input values -> 0.004355 = 2*801189.2/(0.328*(70^2)).

FAQ

What is Density given local friction coefficient?

Density given local friction coefficient formula is defined as a measure of mass per unit volume of a fluid, which is influenced by the local friction coefficient, and is a critical parameter in understanding the behavior of fluids in various flow regimes, particularly in the context of flow over a flat plate and is represented as ρ = 2*τ_w/(C_fx*(u_∞^2)) or Density = 2*Wall Shear Stress/(Local Friction Coefficient*(Free Stream Velocity^2)). Wall shear stress is defined as the shear stress in the layer of fluid next to the wall of a pipe, Local Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream & Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.

How to calculate Density given local friction coefficient?

Density given local friction coefficient formula is defined as a measure of mass per unit volume of a fluid, which is influenced by the local friction coefficient, and is a critical parameter in understanding the behavior of fluids in various flow regimes, particularly in the context of flow over a flat plate is calculated using Density = 2*Wall Shear Stress/(Local Friction Coefficient*(Free Stream Velocity^2)). To calculate Density given local friction coefficient, you need Wall Shear Stress (τ_w), Local Friction Coefficient (C_fx) & Free Stream Velocity (u_∞). With our tool, you need to enter the respective value for Wall Shear Stress, Local Friction Coefficient & Free Stream Velocity 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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