Shear Stress at any Cylindrical Element given Head Loss Calculator

✖Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.ⓘ Head Loss due to Friction [h_location]			+10% -10%
✖Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance [d_radial]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+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 at any Cylindrical Element given Head Loss [𝜏]

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Formula

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Shear Stress at any Cylindrical Element given Head Loss

Formula

`"𝜏" = ("γ"_{"f"}*"h"_{"location"}*"d"_{"radial"})/(2*"L"_{"p"})`

Example

`"857.394Pa"=("9.81kN/m³"*"1.9m"*"9.2m")/(2*"0.10m")`

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Shear Stress at any Cylindrical Element given Head Loss Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = (Specific Weight of Liquid*Head Loss due to Friction*Radial Distance)/(2*Length of Pipe)
𝜏 = (γ_f*h_location*d_radial)/(2*L_p)
This formula uses 5 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.
Specific Weight of Liquid - (Measured in Kilonewton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.
Radial Distance - (Measured in Meter) - Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.

STEP 1: Convert Input(s) to Base Unit

Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Head Loss due to Friction: 1.9 Meter --> 1.9 Meter No Conversion Required
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = (γ_f*h_location*d_radial)/(2*L_p) --> (9.81*1.9*9.2)/(2*0.1)

Evaluating ... ...

𝜏 = 857.394

STEP 3: Convert Result to Output's Unit

857.394 Pascal --> No Conversion Required

FINAL ANSWER

857.394 Pascal <-- Shear Stress

(Calculation completed in 00.004 seconds)

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< 12 Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law Calculators

Distance of Element from Center Line given Velocity at any point in Cylindrical Element

Go Radial Distance = sqrt((Pipe Radius^2)-(-4*Dynamic Viscosity*Fluid Velocity in Pipe/Pressure Gradient))

Velocity at any point in Cylindrical Element

Go Fluid Velocity in Pipe = -(1/(4*Dynamic Viscosity))*Pressure Gradient*((Pipe Radius^2)-(Radial Distance^2))

Shear Stress at any Cylindrical Element given Head Loss

Go Shear Stress = (Specific Weight of Liquid*Head Loss due to Friction*Radial Distance)/(2*Length of Pipe)

Distance of Element from Center Line given Head Loss

Go Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid)

Discharge through Pipe given Pressure Gradient

Go Discharge in pipe = (pi/(8*Dynamic Viscosity))*(Pipe Radius^4)*Pressure Gradient

Velocity Gradient given Pressure Gradient at Cylindrical Element

Go Velocity Gradient = (1/(2*Dynamic Viscosity))*Pressure Gradient*Radial Distance

Distance of Element from Center Line given Velocity Gradient at Cylindrical Element

Go Radial Distance = 2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient

Mean Velocity of Fluid Flow

Go Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Pipe Radius^2

Distance of Element from Center line given Shear Stress at any Cylindrical Element

Go Radial Distance = 2*Shear Stress/Pressure Gradient

Shear Stress at any Cylindrical Element

Go Shear Stress = Pressure Gradient*Radial Distance/2

Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element

Go Mean Velocity = 0.5*Maximum Velocity

Maximum Velocity at Axis of Cylindrical Element given Mean Velocity of Flow

Go Maximum Velocity = 2*Mean Velocity

Shear Stress at any Cylindrical Element given Head Loss Formula

Shear Stress = (Specific Weight of Liquid*Head Loss due to Friction*Radial Distance)/(2*Length of Pipe)
𝜏 = (γ_f*h_location*d_radial)/(2*L_p)

What is Head Loss ?

Head loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system. Head loss is unavoidable in real fluids.Frictional loss is that part of the total head loss that occurs as the fluid flows through straight pipes.

How to Calculate Shear Stress at any Cylindrical Element given Head Loss?

Shear Stress at any Cylindrical Element given Head Loss calculator uses Shear Stress = (Specific Weight of Liquid*Head Loss due to Friction*Radial Distance)/(2*Length of Pipe) to calculate the Shear Stress, The Shear Stress at any Cylindrical Element given Head Loss is defined as stress developed due loss of energy in the flowing stream through pipe. Shear Stress is denoted by 𝜏 symbol.

How to calculate Shear Stress at any Cylindrical Element given Head Loss using this online calculator? To use this online calculator for Shear Stress at any Cylindrical Element given Head Loss, enter Specific Weight of Liquid (γ_f), Head Loss due to Friction (h_location), Radial Distance (d_radial) & Length of Pipe (L_p) and hit the calculate button. Here is how the Shear Stress at any Cylindrical Element given Head Loss calculation can be explained with given input values -> 1308.654 = (9810*1.9*9.2)/(2*0.1).

FAQ

What is Shear Stress at any Cylindrical Element given Head Loss?

The Shear Stress at any Cylindrical Element given Head Loss is defined as stress developed due loss of energy in the flowing stream through pipe and is represented as 𝜏 = (γ_f*h_location*d_radial)/(2*L_p) or Shear Stress = (Specific Weight of Liquid*Head Loss due to Friction*Radial Distance)/(2*Length of Pipe). Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid, The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct, Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point & Length of Pipe describes the length of the pipe in which the liquid is flowing.

How to calculate Shear Stress at any Cylindrical Element given Head Loss?

The Shear Stress at any Cylindrical Element given Head Loss is defined as stress developed due loss of energy in the flowing stream through pipe is calculated using Shear Stress = (Specific Weight of Liquid*Head Loss due to Friction*Radial Distance)/(2*Length of Pipe). To calculate Shear Stress at any Cylindrical Element given Head Loss, you need Specific Weight of Liquid (γ_f), Head Loss due to Friction (h_location), Radial Distance (d_radial) & Length of Pipe (L_p). With our tool, you need to enter the respective value for Specific Weight of Liquid, Head Loss due to Friction, Radial Distance & Length of Pipe 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 Specific Weight of Liquid, Head Loss due to Friction, Radial Distance & Length of Pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -

Shear Stress = Pressure Gradient*Radial Distance/2

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