Viscous Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness
Vs = μviscosity*VG/DL
This formula uses 4 Variables
Variables Used
Viscous Stress - (Measured in Newton) - The Viscous Stress is the internal resistance of a fluid to flow, which arises due to the fluid's viscosity and affects the behavior of fluids in pipes.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity is a measure of a fluid's resistance to flow, indicating how easily it deforms under shear stress in pipe systems.
Velocity Gradient - (Measured in Meter per Second) - The Velocity Gradient is the rate of change of fluid velocity with respect to distance in a pipe, indicating how quickly the flow speed varies within the fluid.
Fluid Thickness - (Measured in Meter) - The Fluid Thickness is the measurement of the distance between the inner and outer surfaces of a pipe, affecting fluid flow and pressure within the system.
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 = μviscosity*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 00.008 seconds)

Credits

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Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
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Pipes Calculators

Viscous Force using Head loss Due to Laminar Flow
​ LaTeX ​ 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
​ LaTeX ​ Go Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of Flow*Viscous Force head loss)
Viscous Stress
​ LaTeX ​ Go Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness
Viscous Force Per Unit Area
​ LaTeX ​ Go Viscous Force = Force/Area

Viscous Stress Formula

​LaTeX ​Go
Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness
Vs = μviscosity*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 formula is defined as a measure of the internal resistance of a fluid to flow, which arises from the fluid's viscosity. It quantifies the force per unit area exerted by a fluid in motion, playing a crucial role in fluid dynamics and pipe flow analysis. 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 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 formula is defined as a measure of the internal resistance of a fluid to flow, which arises from the fluid's viscosity. It quantifies the force per unit area exerted by a fluid in motion, playing a crucial role in fluid dynamics and pipe flow analysis and is represented as Vs = μviscosity*VG/DL or Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness. The Dynamic Viscosity is a measure of a fluid's resistance to flow, indicating how easily it deforms under shear stress in pipe systems, The Velocity Gradient is the rate of change of fluid velocity with respect to distance in a pipe, indicating how quickly the flow speed varies within the fluid & The Fluid Thickness is the measurement of the distance between the inner and outer surfaces of a pipe, affecting fluid flow and pressure within the system.
How to calculate Viscous Stress?
Viscous Stress formula is defined as a measure of the internal resistance of a fluid to flow, which arises from the fluid's viscosity. It quantifies the force per unit area exerted by a fluid in motion, playing a crucial role in fluid dynamics and pipe flow analysis is calculated using Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness. To calculate Viscous Stress, you need Dynamic Viscosity 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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