Piezometric Gradient given Shear Stress Calculator

✖The Shear Stress refers to the 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%
✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.ⓘ Radial Distance [d_radial]			+10% -10%

✖The Piezometric Gradient refers to the measure of the change in hydraulic head (or piezometric head) per unit distance in a given direction within a fluid system.ⓘ Piezometric Gradient given Shear Stress [dh_/dx]

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Piezometric Gradient given Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Piezometric Gradient - The Piezometric Gradient refers to the measure of the change in hydraulic head (or piezometric head) per unit distance in a given direction within a fluid system.
Shear Stress - (Measured in Pascal) - The Shear Stress refers to the 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 Newton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
Radial Distance - (Measured in Meter) - The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dh_/dx = (2*𝜏)/(γ_f*d_radial) --> (2*93.1)/(9810*9.2)

Evaluating ... ...

dh_/dx = 0.00206311217479945

STEP 3: Convert Result to Output's Unit

0.00206311217479945 --> No Conversion Required

FINAL ANSWER

0.00206311217479945 ≈ 0.002063 <-- Piezometric Gradient

(Calculation completed in 00.004 seconds)

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< Laminar Flow Through Inclined Pipes Calculators

Radius of Elemental Section of Pipe given Shear Stress

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

Specific Weight of Fluid given Shear Stress

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

Piezometric Gradient given Shear Stress

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

Shear Stresses

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

Piezometric Gradient given Shear Stress Formula

LaTeX Go

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

What is Piezometric Gradient ?

Hydraulic head or piezometric head is a specific measurement of liquid pressure above a vertical datum. The hydraulic head can be used to determine a hydraulic gradient between two or more points.

How to Calculate Piezometric Gradient given Shear Stress?

Piezometric Gradient given Shear Stress calculator uses Piezometric Gradient = (2*Shear Stress)/(Specific Weight of Liquid*Radial Distance) to calculate the Piezometric Gradient, The Piezometric Gradient given Shear Stress is defined as change in hydraulic head with respect pipe length distance. Piezometric Gradient is denoted by dh_/dx symbol.

How to calculate Piezometric Gradient given Shear Stress using this online calculator? To use this online calculator for Piezometric Gradient given Shear Stress, enter Shear Stress (𝜏), Specific Weight of Liquid (γ_f) & Radial Distance (d_radial) and hit the calculate button. Here is how the Piezometric Gradient given Shear Stress calculation can be explained with given input values -> 0.002063 = (2*93.1)/(9810*9.2).

FAQ

What is Piezometric Gradient given Shear Stress?

The Piezometric Gradient given Shear Stress is defined as change in hydraulic head with respect pipe length distance and is represented as dh_/dx = (2*𝜏)/(γ_f*d_radial) or Piezometric Gradient = (2*Shear Stress)/(Specific Weight of Liquid*Radial Distance). The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, The Specific Weight of Liquid refers to the weight per unit volume of that substance & The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

How to calculate Piezometric Gradient given Shear Stress?

The Piezometric Gradient given Shear Stress is defined as change in hydraulic head with respect pipe length distance is calculated using Piezometric Gradient = (2*Shear Stress)/(Specific Weight of Liquid*Radial Distance). To calculate Piezometric Gradient given Shear Stress, you need Shear Stress (𝜏), Specific Weight of Liquid (γ_f) & Radial Distance (d_radial). With our tool, you need to enter the respective value for Shear Stress, Specific Weight of Liquid & Radial Distance 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 Piezometric Gradient?

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

Piezometric Gradient = Velocity Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*Radial Distance))
Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2))

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