Piezometric Gradient given Flow Velocity of Stream Calculator

✖The Velocity of Liquid refers to the speed at which the fluid moves through a pipe or channel.ⓘ Velocity of Liquid [v]			+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 Inclined Pipes Radius refers to the distance from the center of the pipe’s cross-section to its inner wall.ⓘ Inclined Pipes Radius [R_inclined]			+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 Flow Velocity of Stream [dh_/dx]

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Piezometric Gradient given Flow Velocity of Stream Solution

STEP 0: Pre-Calculation Summary

Formula Used

Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2))
dh_/dx = v/(((γ_f)/(4*μ))*(R_inclined^2-d_radial^2))
This formula uses 6 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 of Liquid - (Measured in Meter per Second) - The Velocity of Liquid refers to the speed at which the fluid moves through a pipe or channel.
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.
Inclined Pipes Radius - (Measured in Meter) - The Inclined Pipes Radius refers to the distance from the center of the pipe’s cross-section to its inner wall.
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 of Liquid: 61.57 Meter per Second --> 61.57 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)
Inclined Pipes Radius: 10.5 Meter --> 10.5 Meter No Conversion Required
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dh_/dx = v/(((γ_f)/(4*μ))*(R_inclined^2-d_radial^2)) --> 61.57/(((9810)/(4*1.02))*(10.5^2-9.2^2))

Evaluating ... ...

dh_/dx = 0.000999886559985288

STEP 3: Convert Result to Output's Unit

0.000999886559985288 --> No Conversion Required

FINAL ANSWER

0.000999886559985288 ≈ 0.001 <-- 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 Flow Velocity of Stream Formula

LaTeX Go

Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2))
dh_/dx = v/(((γ_f)/(4*μ))*(R_inclined^2-d_radial^2))

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 Flow Velocity of Stream?

Piezometric Gradient given Flow Velocity of Stream calculator uses Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2)) to calculate the Piezometric Gradient, The Piezometric Gradient given Flow Velocity of Stream is defined as change in pressure with respect to radial distance. Piezometric Gradient is denoted by dh_/dx symbol.

How to calculate Piezometric Gradient given Flow Velocity of Stream using this online calculator? To use this online calculator for Piezometric Gradient given Flow Velocity of Stream, enter Velocity of Liquid (v), Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ), Inclined Pipes Radius (R_inclined) & Radial Distance (d_radial) and hit the calculate button. Here is how the Piezometric Gradient given Flow Velocity of Stream calculation can be explained with given input values -> 0.001 = 61.57/(((9810)/(4*1.02))*(10.5^2-9.2^2)).

FAQ

What is Piezometric Gradient given Flow Velocity of Stream?

The Piezometric Gradient given Flow Velocity of Stream is defined as change in pressure with respect to radial distance and is represented as dh_/dx = v/(((γ_f)/(4*μ))*(R_inclined^2-d_radial^2)) or Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2)). The Velocity of Liquid refers to the speed at which the fluid moves through a pipe or channel, 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 Inclined Pipes Radius refers to the distance from the center of the pipe’s cross-section to its inner wall & 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 Flow Velocity of Stream?

The Piezometric Gradient given Flow Velocity of Stream is defined as change in pressure with respect to radial distance is calculated using Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2)). To calculate Piezometric Gradient given Flow Velocity of Stream, you need Velocity of Liquid (v), Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ), Inclined Pipes Radius (R_inclined) & Radial Distance (d_radial). With our tool, you need to enter the respective value for Velocity of Liquid, Specific Weight of Liquid, Dynamic Viscosity, Inclined Pipes Radius & 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 of Liquid, Specific Weight of Liquid, Dynamic Viscosity, Inclined Pipes Radius & 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 Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*Radial Distance))

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