Piezometric Gradient given Velocity Gradient with Shear Stress Calculator

✖The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid.ⓘ Velocity Gradient [V_G]			+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 Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+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 Velocity Gradient with Shear Stress [dh_/dx]

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Piezometric Gradient given Velocity Gradient with Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Piezometric Gradient = Velocity Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*Radial Distance))
dh_/dx = V_G/((γ_f/μ)*(0.5*d_radial))
This formula uses 5 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.
Velocity Gradient - (Measured in Meter per Second) - The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid.
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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
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

Velocity Gradient: 76.6 Meter per Second --> 76.6 Meter per Second No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (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 = V_G/((γ_f/μ)*(0.5*d_radial)) --> 76.6/((9810/1.02)*(0.5*9.2))

Evaluating ... ...

dh_/dx = 0.00173141869432256

STEP 3: Convert Result to Output's Unit

0.00173141869432256 --> No Conversion Required

FINAL ANSWER

0.00173141869432256 ≈ 0.001731 <-- 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 Velocity Gradient with Shear Stress Formula

LaTeX Go

Piezometric Gradient = Velocity Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*Radial Distance))
dh_/dx = V_G/((γ_f/μ)*(0.5*d_radial))

What is Velocity Gradient ?

The difference in velocity between adjacent layers of the fluid is known as a velocity gradient and is given by v/x, where v is the velocity difference and x is the distance between the layers.

How to Calculate Piezometric Gradient given Velocity Gradient with Shear Stress?

Piezometric Gradient given Velocity Gradient with Shear Stress calculator uses Piezometric Gradient = Velocity Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*Radial Distance)) to calculate the Piezometric Gradient, The Piezometric Gradient given Velocity Gradient with Shear Stress formula is defined as change in pressure with respect to horizontal distance along pipe. Piezometric Gradient is denoted by dh_/dx symbol.

How to calculate Piezometric Gradient given Velocity Gradient with Shear Stress using this online calculator? To use this online calculator for Piezometric Gradient given Velocity Gradient with Shear Stress, enter Velocity Gradient (V_G), Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ) & Radial Distance (d_radial) and hit the calculate button. Here is how the Piezometric Gradient given Velocity Gradient with Shear Stress calculation can be explained with given input values -> 0.001731 = 76.6/((9810/1.02)*(0.5*9.2)).

FAQ

What is Piezometric Gradient given Velocity Gradient with Shear Stress?

The Piezometric Gradient given Velocity Gradient with Shear Stress formula is defined as change in pressure with respect to horizontal distance along pipe and is represented as dh_/dx = V_G/((γ_f/μ)*(0.5*d_radial)) or Piezometric Gradient = Velocity Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*Radial Distance)). The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid, The Specific Weight of Liquid refers to the weight per unit volume of that substance, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied & 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 Velocity Gradient with Shear Stress?

The Piezometric Gradient given Velocity Gradient with Shear Stress formula is defined as change in pressure with respect to horizontal distance along pipe is calculated using Piezometric Gradient = Velocity Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*Radial Distance)). To calculate Piezometric Gradient given Velocity Gradient with Shear Stress, you need Velocity Gradient (V_G), Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ) & Radial Distance (d_radial). With our tool, you need to enter the respective value for Velocity Gradient, Specific Weight of Liquid, Dynamic Viscosity & 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 Velocity Gradient, Specific Weight of Liquid, Dynamic Viscosity & Radial Distance. We can use 2 other way(s) to calculate the same, which is/are as follows -

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