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]

⎘ Copy

👎

Formula

✖

Density given local friction coefficient

Formula

`"ρ" = 2*"τ"_{"w"}/("C"_{"fx"}*("u"_{"∞"}^2))`

Example

`"0.004355kg/m³"=2*"3.5Pa"/("0.328"*(("70m/s")^2))`

Calculator

LaTeX

Reset

👍

Download Heat and Mass Transfer Formula PDF PDF Image

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: 3.5 Pascal --> 3.5 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*3.5/(0.328*(70^2))

Evaluating ... ...

ρ = 0.00435540069686411

STEP 3: Convert Result to Output's Unit

0.00435540069686411 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

0.00435540069686411 ≈ 0.004355 Kilogram per Cubic Meter <-- Density

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Heat and Mass Transfer » External flow » Flow over Flat Plate » Laminar Flow » Density given local friction coefficient

Credits

Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 15 Laminar Flow Calculators

Average temperature difference between plate and fluid

Go Average Temperature Difference = ((Heat Flux*Distance L/Thermal Conductivity))/(0.679*(Reynolds Number at Location L^0.5)*(Prandtl Number^0.333))

Free stream velocity given local friction coefficient

Go Free Stream Velocity = sqrt((2*Wall Shear Stress)/(Density*Local Friction Coefficient))

Density given local friction coefficient

Go Density = 2*Wall Shear Stress/(Local Friction Coefficient*(Free Stream Velocity^2))

Wall shear stress

Go Wall Shear Stress = (Local Friction Coefficient*Density*(Free Stream Velocity^2))/2

Local friction coefficient for external flow

Go Local Friction Coefficient = 2*Wall Shear Stress/(Density*Free Stream Velocity^2)

Hydrodynamic boundary layer thickness at distance X from leading edge

Go Hydrodynamic Boundary Layer Thickness = 5*Distance from Point to YY Axis*Reynolds Number(x)^(-0.5)

Thermal boundary layer thickness at distance X from leading edge

Go Thermal Boundary Layer Thickness = Hydrodynamic Boundary Layer Thickness*Prandtl Number^(-0.333)

Film temperature

Go Film temperature = (Plate Surface Temperature+Free Stream Fluid Temperature)/2

Free stream fluid temperature

Go Free Stream Fluid Temperature = 2*Film temperature-Plate Surface Temperature

Plate surface temperature

Go Plate Surface Temperature = 2*Film temperature-Free Stream Fluid Temperature

Coefficient of friction given Stanton number

Go Coefficient of Friction = 2*Stanton Number*(Prandtl Number^(2/3))

Displacement thickness

Go Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3

Average friction coefficient

Go Average Friction Coefficient = 1.328*Reynolds Number(x)^(-0.5)

Local Friction Coefficient given Reynolds Number

Go Local Friction Coefficient = 0.664*Reynolds Number(x)^(-0.5)

Momentum thickness

Go Momentum Thickness = Hydrodynamic Boundary Layer Thickness/7

Density given local friction coefficient Formula

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, The Density given local friction coefficient formula is defined as the measure of mass per volume required for the given friction coefficient. 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 -> 0.213415 = 2*3.5/(0.328*(70^2)).

FAQ

What is Density given local friction coefficient?

The Density given local friction coefficient formula is defined as the measure of mass per volume required for the given friction coefficient 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?

The Density given local friction coefficient formula is defined as the measure of mass per volume required for the given friction coefficient 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.

Home

FREE PDFs

🔍 Search