Specific Weight of Fluid given Shear Stress Calculator

✖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 [𝜏]			+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%
✖Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.ⓘ Piezometric Gradient [dhbydx]			+10% -10%

✖Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.ⓘ Specific Weight of Fluid given Shear Stress [γ_f]

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Formula

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Specific Weight of Fluid given Shear Stress

Formula

`"γ"_{"f"} = (2*"𝜏")/("d"_{"radial"}*"dhbydx")`

Example

`"0.002024kN/m³"=(2*"93.1Pa")/("9.2m"*"10")`

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Specific Weight of Fluid given Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specific Weight of Liquid = (2*Shear Stress)/(Radial Distance*Piezometric Gradient)
γ_f = (2*𝜏)/(d_radial*dhbydx)
This formula uses 4 Variables

Variables Used

Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
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.
Radial Distance - (Measured in Meter) - Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
Piezometric Gradient - Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required
Piezometric Gradient: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_f = (2*𝜏)/(d_radial*dhbydx) --> (2*93.1)/(9.2*10)

Evaluating ... ...

γ_f = 2.02391304347826

STEP 3: Convert Result to Output's Unit

2.02391304347826 Newton per Cubic Meter -->0.00202391304347826 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

0.00202391304347826 ≈ 0.002024 Kilonewton per Cubic Meter <-- Specific Weight of Liquid

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law » Laminar Flow Through Inclined Pipes » Specific Weight of Fluid given Shear Stress

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National Institute of Technology Karnataka (NITK), Surathkal

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< 15 Laminar Flow Through Inclined Pipes Calculators

Radius of Elemental Section of Pipe given Flow Velocity of Stream

Go Radial Distance = sqrt((Inclined Pipes Radius^2)+Velocity of Liquid/((Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient))

Radius of Pipe for Flow Velocity of Stream

Go Inclined Pipes Radius = sqrt((Radial Distance^2)-((Velocity of Liquid*4*Dynamic Viscosity)/(Specific Weight of Liquid*Piezometric Gradient)))

Specific Weight of Liquid given Flow Velocity of Stream

Go Specific Weight of Liquid = Velocity of Liquid/((1/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2))

Piezometric Gradient given Flow Velocity of Stream

Go Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2))

Dynamic Viscosity given Flow Velocity of Stream

Go Dynamic Viscosity = (Specific Weight of Liquid/((4*Velocity of Liquid))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2))

Flow Velocity of Stream

Go Velocity of Liquid = (Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2)

Piezometric Gradient given Velocity Gradient with Shear Stress

Go Piezometric Gradient = Velocity Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*Radial Distance))

Radius of Elemental Section of Pipe given Velocity Gradient with Shear Stress

Go Radial Distance = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Specific Weight of Liquid)

Specific Weight of Liquid given Velocity Gradient with Shear Stress

Go Specific Weight of Liquid = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Radial Distance)

Velocity Gradient given Piezometric Gradient with Shear Stress

Go Velocity Gradient = (Specific Weight of Liquid/Dynamic Viscosity)*Piezometric Gradient*0.5*Radial Distance

Dynamic Viscosity given Velocity Gradient with Shear Stress

Go Dynamic Viscosity = (Specific Weight of Liquid/Velocity Gradient)*Piezometric Gradient*0.5*Radial Distance

Radius of Elemental Section of Pipe given Shear Stress

Go Radial Distance = (2*Shear Stress)/(Specific Weight of Liquid*Piezometric Gradient)

Specific Weight of Fluid given Shear Stress

Go Specific Weight of Liquid = (2*Shear Stress)/(Radial Distance*Piezometric Gradient)

Piezometric Gradient given Shear Stress

Go Piezometric Gradient = (2*Shear Stress)/(Specific Weight of Liquid*Radial Distance)

Shear Stresses

Go Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2

Specific Weight of Fluid given Shear Stress Formula

Specific Weight of Liquid = (2*Shear Stress)/(Radial Distance*Piezometric Gradient)
γ_f = (2*𝜏)/(d_radial*dhbydx)

What is Specific Weight of Fluid ?

Specific weight, sometimes referred to as unit weight, is simply the weight of fluid per unit volume. It is usually denoted by the Greek letter γ (gamma) and has dimensions of force per unit volume.

How to Calculate Specific Weight of Fluid given Shear Stress?

Specific Weight of Fluid given Shear Stress calculator uses Specific Weight of Liquid = (2*Shear Stress)/(Radial Distance*Piezometric Gradient) to calculate the Specific Weight of Liquid, The Specific Weight of Fluid given Shear Stress is defined as weight per unit volume of fluid flowing in the stream in the pipe. Specific Weight of Liquid is denoted by γ_f symbol.

How to calculate Specific Weight of Fluid given Shear Stress using this online calculator? To use this online calculator for Specific Weight of Fluid given Shear Stress, enter Shear Stress (𝜏), Radial Distance (d_radial) & Piezometric Gradient (dhbydx) and hit the calculate button. Here is how the Specific Weight of Fluid given Shear Stress calculation can be explained with given input values -> 2E-6 = (2*93.1)/(9.2*10).

FAQ

What is Specific Weight of Fluid given Shear Stress?

The Specific Weight of Fluid given Shear Stress is defined as weight per unit volume of fluid flowing in the stream in the pipe and is represented as γ_f = (2*𝜏)/(d_radial*dhbydx) or Specific Weight of Liquid = (2*Shear Stress)/(Radial Distance*Piezometric Gradient). Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point & Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.

How to calculate Specific Weight of Fluid given Shear Stress?

The Specific Weight of Fluid given Shear Stress is defined as weight per unit volume of fluid flowing in the stream in the pipe is calculated using Specific Weight of Liquid = (2*Shear Stress)/(Radial Distance*Piezometric Gradient). To calculate Specific Weight of Fluid given Shear Stress, you need Shear Stress (𝜏), Radial Distance (d_radial) & Piezometric Gradient (dhbydx). With our tool, you need to enter the respective value for Shear Stress, Radial Distance & Piezometric Gradient 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 Specific Weight of Liquid?

In this formula, Specific Weight of Liquid uses Shear Stress, Radial Distance & Piezometric Gradient. We can use 2 other way(s) to calculate the same, which is/are as follows -

Specific Weight of Liquid = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Radial Distance)
Specific Weight of Liquid = Velocity of Liquid/((1/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2))

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