Shear-Stress Distribution Calculator

✖The Viscosity Coefficient is the ratio of applied stress to the rate of straining (change of strain with time).ⓘ Viscosity Coefficient [η]			+10% -10%
✖Velocity Gradient is the difference in velocity between the adjacent layers of the fluid.ⓘ Velocity Gradient [VG]			+10% -10%

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear-Stress Distribution [𝜏]

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Formula

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Shear-Stress Distribution

Formula

`"𝜏" = "η"*"VG"`

Example

`"0.02Pa"="0.001Pa*s"*"20m/s"`

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Shear-Stress Distribution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = Viscosity Coefficient*Velocity Gradient
𝜏 = η*VG
This formula uses 3 Variables

Variables Used

Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Viscosity Coefficient - (Measured in Pascal Second) - The Viscosity Coefficient is the ratio of applied stress to the rate of straining (change of strain with time).
Velocity Gradient - (Measured in Meter per Second) - Velocity Gradient is the difference in velocity between the adjacent layers of the fluid.

STEP 1: Convert Input(s) to Base Unit

Viscosity Coefficient: 0.001 Pascal Second --> 0.001 Pascal Second No Conversion Required
Velocity Gradient: 20 Meter per Second --> 20 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = η*VG --> 0.001*20

Evaluating ... ...

𝜏 = 0.02

STEP 3: Convert Result to Output's Unit

0.02 Pascal --> No Conversion Required

FINAL ANSWER

0.02 Pascal <-- Shear Stress

(Calculation completed in 00.020 seconds)

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Credits

Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

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< 20 Hypersonic Flow Parameters Calculators

Coefficient of Pressure with Similarity Parameters

Go Pressure Coefficient = 2*Flow Deflection angle^2*((Specific Heat Ratio+1)/4+sqrt(((Specific Heat Ratio+1)/4)^2+1/Hypersonic Similarity Parameter^2))

Pressure Ratio having High Mach Number with Similarity Constant

Go Pressure Ratio = (1-((Specific Heat Ratio-1)/2)*Hypersonic Similarity Parameter)^(2*Specific Heat Ratio/(Specific Heat Ratio-1))

Mach Number with Fluids

Go Mach Number = Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*Final Temperature))

Pressure Ratio for High Mach Number

Go Pressure Ratio = (Mach Number ahead of shock/Mach Number behind shock)^(2*Specific Heat Ratio/(Specific Heat Ratio-1))

Moment Coefficient

Go Moment Coefficient = Moment/(Dynamic Pressure*Area for Flow*Chord Length)

Deflection Angle

Go Deflection Angle = 2/(Specific Heat Ratio-1)*(1/Mach Number ahead of shock-1/Mach Number behind shock)

Normal Force Coefficient

Go Coefficient of Force = Normal Force/(Dynamic Pressure*Area for Flow)

Supersonic Expression for Pressure Coefficient on Surface with Local Deflection Angle

Go Pressure Coefficient = (2*Deflection Angle)/(sqrt(Mach Number^2-1))

Dynamic Pressure given Coefficient of Lift

Go Dynamic Pressure = Lift Force/(Lift Coefficient*Area for Flow)

Coefficient of Drag

Go Drag Coefficient = Drag Force/(Dynamic Pressure*Area for Flow)

Dynamic Pressure

Go Dynamic Pressure = Drag Force/(Drag Coefficient*Area for Flow)

Lift Coefficient

Go Lift Coefficient = Lift Force/(Dynamic Pressure*Area for Flow)

Axial Force Coefficient

Go Coefficient of Force = Force/(Dynamic Pressure*Area for Flow)

Drag Force

Go Drag Force = Drag Coefficient*Dynamic Pressure*Area for Flow

Lift Force

Go Lift Force = Lift Coefficient*Dynamic Pressure*Area for Flow

Mach Ratio at High Mach Number

Go Mach Ratio = 1-Hypersonic Similarity Parameter*((Specific Heat Ratio-1)/2)

Hypersonic Similarity Parameter

Go Hypersonic Similarity Parameter = Mach Number*Flow Deflection angle

Shear-Stress Distribution

Go Shear Stress = Viscosity Coefficient*Velocity Gradient

Fourier's Law of Heat Conduction

Go Heat Flux = Thermal Conductivity*Temperature Gradient

Newtonian Sine Squared Law for Pressure Coefficient

Go Pressure Coefficient = 2*sin(Deflection Angle)^2

Shear-Stress Distribution Formula

Shear Stress = Viscosity Coefficient*Velocity Gradient
𝜏 = η*VG

What is shear stress distribution

the variation of shear stress with distance along the surface, is the shear-stress distribution, this is acting on the wall

How to Calculate Shear-Stress Distribution?

Shear-Stress Distribution calculator uses Shear Stress = Viscosity Coefficient*Velocity Gradient to calculate the Shear Stress, The shear-stress distribution formula is defined as the product of coefficient of viscosity and the velocity gradient at the wall of the body in hypersonic flow . Shear Stress is denoted by 𝜏 symbol.

How to calculate Shear-Stress Distribution using this online calculator? To use this online calculator for Shear-Stress Distribution, enter Viscosity Coefficient (η) & Velocity Gradient (VG) and hit the calculate button. Here is how the Shear-Stress Distribution calculation can be explained with given input values -> 0.02 = 0.001*20.

FAQ

What is Shear-Stress Distribution?

The shear-stress distribution formula is defined as the product of coefficient of viscosity and the velocity gradient at the wall of the body in hypersonic flow and is represented as 𝜏 = η*VG or Shear Stress = Viscosity Coefficient*Velocity Gradient. The Viscosity Coefficient is the ratio of applied stress to the rate of straining (change of strain with time) & Velocity Gradient is the difference in velocity between the adjacent layers of the fluid.

How to calculate Shear-Stress Distribution?

The shear-stress distribution formula is defined as the product of coefficient of viscosity and the velocity gradient at the wall of the body in hypersonic flow is calculated using Shear Stress = Viscosity Coefficient*Velocity Gradient. To calculate Shear-Stress Distribution, you need Viscosity Coefficient (η) & Velocity Gradient (VG). With our tool, you need to enter the respective value for Viscosity Coefficient & Velocity Gradient 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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