Viscous Stress Calculator

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Velocity Gradient is the difference in velocity between the adjacent layers of the fluid.ⓘ Velocity Gradient [VG]			+10% -10%
✖Fluid Thickness is the distance between two layers of the fluid.ⓘ Fluid Thickness [DL]			+10% -10%

✖Viscous Stress is the viscous force exerted per unit area of the body.ⓘ Viscous Stress [VS]

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Formula

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Viscous Stress

Formula

`"VS" = "μ"_{"viscosity"}*"VG"/"DL"`

Example

`"3.820225N"="10.2P"*"20m/s"/"5.34m"`

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Viscous Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness
VS = μ_viscosity*VG/DL
This formula uses 4 Variables

Variables Used

Viscous Stress - (Measured in Newton) - Viscous Stress is the viscous force exerted per unit area of the body.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Velocity Gradient - (Measured in Meter per Second) - Velocity Gradient is the difference in velocity between the adjacent layers of the fluid.
Fluid Thickness - (Measured in Meter) - Fluid Thickness is the distance between two layers of the fluid.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Velocity Gradient: 20 Meter per Second --> 20 Meter per Second No Conversion Required
Fluid Thickness: 5.34 Meter --> 5.34 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

VS = μ_viscosity*VG/DL --> 1.02*20/5.34

Evaluating ... ...

VS = 3.82022471910112

STEP 3: Convert Result to Output's Unit

3.82022471910112 Newton --> No Conversion Required

FINAL ANSWER

3.82022471910112 ≈ 3.820225 Newton <-- Viscous Stress

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 300+ more calculators!

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< 12 Pipes Calculators

Diameter of Pipe given Head Loss due to Laminar Flow

Go Diameter of Pipe = ((128*Viscous Force head loss*Rate of flow*Change in Drawdown)/(Specific weight of liquid*pi*Head loss))^(1/4)

Viscous Force using Head loss Due to Laminar Flow

Go Viscous Force head loss = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of flow*Change in Drawdown)

Length of Pipe given Head loss

Go Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of flow*Viscous Force head loss)

Head Loss due to Laminar Flow

Go Head loss = (128*Viscous Force head loss*Rate of flow*Change in Drawdown)/(pi*Specific Weight*Pipe Diameter^4)

Heat Loss due to Pipe

Go Heat Loss due to Pipe = (Force*Length*Fluid Velocity^2)/(2*Diameter*Acceleration Due To Gravity)

Depth of Centroid given Total Hydrostatic Force

Go Depth of Centroid = Hydrostatic Force/(Specific Weight 1*Surface area)

Head Loss using Efficiency of Hydraulic Transmission

Go Head loss = Total Head at Entrance-Efficiency*Total Head at Entrance

Viscous Stress

Go Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness

Barlow's Formula for Pipe

Go Pressure = (2*Applied stress*Wall Thickness)/(Outside Diameter)

Coefficient of Discharge at Venacontracta of Orifice

Go Coefficient of Discharge = Coefficient of Contraction*Coefficient of Velocity

Viscous Force Per Unit Area

Go Viscous Force = Force/Area

Frictional Factor of Laminar flow

Go Friction factor = 64/Reynolds Number

Viscous Stress Formula

Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness
VS = μ_viscosity*VG/DL

What is viscous sheer stress?

Such forces are often referred to as viscous shear stresses, where shear stress is defined as force divided by the area of interaction between the fluid layers. Shear stresses in fluids are therefore induced by fluid flow and are a consequence of velocity differences within the fluid.

How to Calculate Viscous Stress?

Viscous Stress calculator uses Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness to calculate the Viscous Stress, Viscous Stress is the viscous force exerted on the body per unit area. Viscous Stress is denoted by VS symbol.

How to calculate Viscous Stress using this online calculator? To use this online calculator for Viscous Stress, enter Dynamic Viscosity (μ_viscosity), Velocity Gradient (VG) & Fluid Thickness (DL) and hit the calculate button. Here is how the Viscous Stress calculation can be explained with given input values -> 3.820225 = 1.02*20/5.34.

FAQ

What is Viscous Stress?

Viscous Stress is the viscous force exerted on the body per unit area and is represented as VS = μ_viscosity*VG/DL or Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness. The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Velocity Gradient is the difference in velocity between the adjacent layers of the fluid & Fluid Thickness is the distance between two layers of the fluid.

How to calculate Viscous Stress?

Viscous Stress is the viscous force exerted on the body per unit area is calculated using Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness. To calculate Viscous Stress, you need Dynamic Viscosity (μ_viscosity), Velocity Gradient (VG) & Fluid Thickness (DL). With our tool, you need to enter the respective value for Dynamic Viscosity, Velocity Gradient & Fluid Thickness 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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