Local shear stress Calculator

✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_fluid]			+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%
✖Local Reynolds Number is the ratio of inertial forces to viscous forces.ⓘ Local Reynolds Number [Re_l]			+10% -10%

✖Local Shear Stress is defined as the shear stress in the layer of fluid next to the wall of a pipe.ⓘ Local shear stress [τ_L]

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Local shear stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Local Shear Stress = (0.0296*Density of Fluid*(Free Stream Velocity)^2)/((Local Reynolds Number)^(0.2))
τ_L = (0.0296*ρ_fluid*(u_∞)^2)/((Re_l)^(0.2))
This formula uses 4 Variables

Variables Used

Local Shear Stress - (Measured in Pascal) - Local 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: 2.731494 Kilogram per Cubic Meter --> 2.731494 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

τ_L = (0.0296*ρ_fluid*(u_∞)^2)/((Re_l)^(0.2)) --> (0.0296*2.731494*(70)^2)/((0.55)^(0.2))

Evaluating ... ...

τ_L = 446.493873408853

STEP 3: Convert Result to Output's Unit

446.493873408853 Pascal --> No Conversion Required

FINAL ANSWER

446.493873408853 ≈ 446.4939 Pascal <-- Local Shear Stress

(Calculation completed in 00.004 seconds)

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Created by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

Ravi Khiyani has created this Calculator and 200+ more calculators!

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National Institute Of Technology (NIT), Hamirpur

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< Turbulent Flow Calculators

Hydrodynamic boundary layer thickness at X

LaTeX Go Hydrodynamic Boundary Layer Thickness = 0.381*Distance from Leading Edge*(Reynolds Number^(-0.2))

Nusselt number at distance x from leading edge

LaTeX Go Nusselt Number(x) = 0.0296*(Reynolds Number(x)^0.8)*(Prandtl Number^0.33)

Hydrodynamic boundary layer thickness given displacement thickness

LaTeX Go Hydrodynamic Boundary Layer Thickness = 8*Displacement Thickness at X

Displacement thickness at X

LaTeX Go Displacement Thickness at X = Hydrodynamic Boundary Layer Thickness/8

Local shear stress Formula

LaTeX Go

Local Shear Stress = (0.0296*Density of Fluid*(Free Stream Velocity)^2)/((Local Reynolds Number)^(0.2))
τ_L = (0.0296*ρ_fluid*(u_∞)^2)/((Re_l)^(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 Local Shear Stress = (0.0296*Density of Fluid*(Free Stream Velocity)^2)/((Local Reynolds Number)^(0.2)) to calculate the Local Shear Stress, Local shear stress formula is defined as a measure of the tangential force per unit area exerted by a fluid on a surface, commonly used to analyze the flow over a flat plate, providing insights into the frictional forces and boundary layer behavior. Local Shear Stress is denoted by τ_L symbol.

How to calculate Local shear stress using this online calculator? To use this online calculator for Local shear stress, enter Density of Fluid (ρ_fluid), Free Stream Velocity (u_∞) & Local Reynolds Number (Re_l) and hit the calculate button. Here is how the Local shear stress calculation can be explained with given input values -> 446.4939 = (0.0296*2.731494*(70)^2)/((0.55)^(0.2)).

FAQ

What is Local shear stress?

Local shear stress formula is defined as a measure of the tangential force per unit area exerted by a fluid on a surface, commonly used to analyze the flow over a flat plate, providing insights into the frictional forces and boundary layer behavior and is represented as τ_L = (0.0296*ρ_fluid*(u_∞)^2)/((Re_l)^(0.2)) or Local 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?

Local shear stress formula is defined as a measure of the tangential force per unit area exerted by a fluid on a surface, commonly used to analyze the flow over a flat plate, providing insights into the frictional forces and boundary layer behavior is calculated using Local 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 (ρ_fluid), Free Stream Velocity (u_∞) & Local Reynolds Number (Re_l). 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.

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