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velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada
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National Institute Of Technology (NIT), Hamirpur
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Shear stress in turbulent flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
shear_stress = (Friction factor*Density of Fluid*Velocity^2)/2
𝜏 = (f*ρFluid*v^2)/2
This formula uses 3 Variables
Variables Used
Friction factor- The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.
Density of Fluid - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid. (Measured in Kilogram per Meter³)
Velocity - Velocity, in physics, is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of an object). (Measured in Meter per Second)
STEP 1: Convert Input(s) to Base Unit
Friction factor: 1 --> No Conversion Required
Density of Fluid: 10 Kilogram per Meter³ --> 10 Kilogram per Meter³ No Conversion Required
Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝜏 = (f*ρFluid*v^2)/2 --> (1*10*60^2)/2
Evaluating ... ...
𝜏 = 18000
STEP 3: Convert Result to Output's Unit
18000 Pascal --> No Conversion Required
FINAL ANSWER
18000 Pascal <-- Shear Stress
(Calculation completed in 00.000 seconds)

10+ Turbulent flow Calculators

Head loss due to friction for power required and discharge in turbulent flow
head_loss_due_to_friction = (Power*1000)/(Density of Fluid*[g]*Discharge) Go
Discharge through pipe for power required and head loss in turbulent flow
discharge = (Power*1000)/(Density of Fluid*[g]*Head loss due to friction) Go
Power required to maintain the turbulent flow
power = (Density of Fluid*[g]*Discharge*Head loss due to friction)/1000 Go
Average height of irregularities for turbulent flow in pipes
average_height_irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity Go
Roughness Reynold number for turbulent flow in pipes
roughness_reynold_number = (Shear Velocity*Average height irregularities)/Kinematic viscosity Go
Shear stress in turbulent flow
shear_stress = (Friction factor*Density of Fluid*Velocity^2)/2 Go
Shear velocity for turbulent flow in pipes
shear_velocity = sqrt(Shear Stress/Density of Fluid) Go
Boundary layer thickness of laminar sublayer
boundary_layer_thickness = (11.6*Kinematic viscosity)/(Shear Velocity) Go
Shear stress due to viscosity
shear_stress = (Dynamic viscosity*Change in Velocity) Go
Shear stress developed for turbulent flow in pipes
shear_stress = (Shear Velocity^2)*Density of Fluid Go

Shear stress in turbulent flow Formula

shear_stress = (Friction factor*Density of Fluid*Velocity^2)/2
𝜏 = (f*ρFluid*v^2)/2

What happens to the wall shear stress in turbulent flow?

In turbulent flow, inertia forces are significant as compared to viscous forces. Hence in the turbulent pipe flow shear stress varies linearly with the radius.

How is shear stress developed in laminar and turbulent fluid flow?

The shear stress in laminar flow is a direct result of momentum transfer among the randomly moving molecules (a microscopic phenomenon). The shear stress in turbulent flow is largely a result of momentum transfer among the randomly moving, finite-sized fluid particles (a macroscopic phenomenon).

How to Calculate Shear stress in turbulent flow?

Shear stress in turbulent flow calculator uses shear_stress = (Friction factor*Density of Fluid*Velocity^2)/2 to calculate the Shear Stress, The Shear stress in turbulent flow formula is defined as the maximum at the center and decreases linearly towards the wall in it. Shear Stress is denoted by 𝜏 symbol.

How to calculate Shear stress in turbulent flow using this online calculator? To use this online calculator for Shear stress in turbulent flow, enter Friction factor (f), Density of Fluid Fluid) & Velocity (v) and hit the calculate button. Here is how the Shear stress in turbulent flow calculation can be explained with given input values -> 18000 = (1*10*60^2)/2.

FAQ

What is Shear stress in turbulent flow?
The Shear stress in turbulent flow formula is defined as the maximum at the center and decreases linearly towards the wall in it and is represented as 𝜏 = (f*ρFluid*v^2)/2 or shear_stress = (Friction factor*Density of Fluid*Velocity^2)/2. The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid & Velocity, in physics, is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of an object).
How to calculate Shear stress in turbulent flow?
The Shear stress in turbulent flow formula is defined as the maximum at the center and decreases linearly towards the wall in it is calculated using shear_stress = (Friction factor*Density of Fluid*Velocity^2)/2. To calculate Shear stress in turbulent flow, you need Friction factor (f), Density of Fluid Fluid) & Velocity (v). With our tool, you need to enter the respective value for Friction factor, Density of Fluid & Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Shear Stress?
In this formula, Shear Stress uses Friction factor, Density of Fluid & Velocity. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • shear_stress = (Shear Velocity^2)*Density of Fluid
  • average_height_irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity
  • power = (Density of Fluid*[g]*Discharge*Head loss due to friction)/1000
  • roughness_reynold_number = (Shear Velocity*Average height irregularities)/Kinematic viscosity
  • shear_velocity = sqrt(Shear Stress/Density of Fluid)
  • head_loss_due_to_friction = (Power*1000)/(Density of Fluid*[g]*Discharge)
  • discharge = (Power*1000)/(Density of Fluid*[g]*Head loss due to friction)
  • boundary_layer_thickness = (11.6*Kinematic viscosity)/(Shear Velocity)
  • shear_stress = (Friction factor*Density of Fluid*Velocity^2)/2
  • shear_stress = (Dynamic viscosity*Change in Velocity)
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