Local shear stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wall Shear Stress = (0.0296*Density of Fluid*(Free Stream Velocity)^2)/((Local Reynolds Number)^(0.2))
τw = (0.0296*ρfluid*(u)^2)/((Rel)^(0.2))
This formula uses 4 Variables
Variables Used
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 of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
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.
Local Reynolds Number - Local Reynolds Number is the ratio of inertial forces to viscous forces.
STEP 1: Convert Input(s) to Base Unit
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Free Stream Velocity: 70 Meter per Second --> 70 Meter per Second No Conversion Required
Local Reynolds Number: 0.55 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τw = (0.0296*ρfluid*(u)^2)/((Rel)^(0.2)) --> (0.0296*1.225*(70)^2)/((0.55)^(0.2))
Evaluating ... ...
τw = 200.240232973547
STEP 3: Convert Result to Output's Unit
200.240232973547 Pascal --> No Conversion Required
FINAL ANSWER
200.240232973547 200.2402 Pascal <-- Wall Shear Stress
(Calculation completed in 00.019 seconds)

Credits

Created by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
Ravi Khiyani has created this Calculator and 200+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

11 Turbulent Flow Calculators

Nusselt Number at Distance X from Leading Edge by Analogy
Go Nusselt Number(x) = ((Local Friction Coefficient/2)*Reynolds Number(x)*Prandtl Number)/(1+12.8*((Local Friction Coefficient/2)^.5)*((Prandtl Number^0.68)-1))
Local shear stress
Go Wall Shear Stress = (0.0296*Density of Fluid*(Free Stream Velocity)^2)/((Local Reynolds Number)^(0.2))
Hydrodynamic boundary layer thickness at X
Go Hydrodynamic Boundary Layer Thickness = 0.381*Distance from Leading Edge*(Reynolds Number^(-0.2))
Average Nusselt number upto length L given Reynolds number
Go Average Nusselt Number = 0.037*(Reynolds Number^0.8)*(Prandtl Number^0.33)
Nusselt number at distance x from leading edge
Go Nusselt Number(x) = 0.0296*(Reynolds Number(x)^0.8)*(Prandtl Number^0.33)
Local friction coefficient for Re greater than 100000000
Go Local Friction Coefficient = 0.37*(log10(Reynolds Number(x)))^(-2.584)
Hydrodynamic boundary layer thickness at X given momentum thickness
Go Hydrodynamic Boundary Layer Thickness = (72/7)*Momentum Thickness
Momentum thickness at X
Go Momentum Thickness = (7/72)*Hydrodynamic Boundary Layer Thickness
Hydrodynamic boundary layer thickness given displacement thickness
Go Hydrodynamic Boundary Layer Thickness = 8*Displacement Thickness
Displacement thickness at X
Go Displacement Thickness = Hydrodynamic Boundary Layer Thickness/8
Local friction coefficient
Go Local Friction Coefficient = 0.0592*(Reynolds Number(x)^(-0.2))

Local shear stress Formula

Wall Shear Stress = (0.0296*Density of Fluid*(Free Stream Velocity)^2)/((Local Reynolds Number)^(0.2))
τw = (0.0296*ρfluid*(u)^2)/((Rel)^(0.2))

What is shear stress?

The shear stress expresses the force per unit area exerted by the wall on the fluid in a direction on the local tangent plane.

Why is shear stress maximum at Wall?

Shear stress is maximum at the walls because of the non-slip condition of water molecules near the walls.

How to Calculate Local shear stress?

Local shear stress calculator uses Wall Shear Stress = (0.0296*Density of Fluid*(Free Stream Velocity)^2)/((Local Reynolds Number)^(0.2)) to calculate the Wall Shear Stress, The local shear stress formula calculates the shear stress at the required point by using the boundary layer in turbulent flow theory. Wall Shear Stress is denoted by τw symbol.

How to calculate Local shear stress using this online calculator? To use this online calculator for Local shear stress, enter Density of Fluid fluid), Free Stream Velocity (u) & Local Reynolds Number (Rel) and hit the calculate button. Here is how the Local shear stress calculation can be explained with given input values -> 4.086535 = (0.0296*1.225*(70)^2)/((0.55)^(0.2)).

FAQ

What is Local shear stress?
The local shear stress formula calculates the shear stress at the required point by using the boundary layer in turbulent flow theory and is represented as τw = (0.0296*ρfluid*(u)^2)/((Rel)^(0.2)) or Wall Shear Stress = (0.0296*Density of Fluid*(Free Stream Velocity)^2)/((Local Reynolds Number)^(0.2)). Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity & Local Reynolds Number is the ratio of inertial forces to viscous forces.
How to calculate Local shear stress?
The local shear stress formula calculates the shear stress at the required point by using the boundary layer in turbulent flow theory is calculated using Wall Shear Stress = (0.0296*Density of Fluid*(Free Stream Velocity)^2)/((Local Reynolds Number)^(0.2)). To calculate Local shear stress, you need Density of Fluid fluid), Free Stream Velocity (u) & Local Reynolds Number (Rel). With our tool, you need to enter the respective value for Density of Fluid, Free Stream Velocity & Local Reynolds Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!