Flow Velocity of Stream Calculator

✖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 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 [dh_/dx]			+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 Velocity of Liquid refers to the speed at which the fluid moves through a pipe or channel.ⓘ Flow Velocity of Stream [v]

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Flow Velocity of Stream Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Liquid = (Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2)
v = (γ_f/(4*μ))*dh_/dx*(R_inclined^2-d_radial^2)
This formula uses 6 Variables

Variables Used

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.
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.
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

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)
Piezometric Gradient: 10 --> No Conversion Required
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

v = (γ_f/(4*μ))*dh_/dx*(R_inclined^2-d_radial^2) --> (9810/(4*1.02))*10*(10.5^2-9.2^2)

Evaluating ... ...

v = 615769.852941177

STEP 3: Convert Result to Output's Unit

615769.852941177 Meter per Second --> No Conversion Required

FINAL ANSWER

615769.852941177 ≈ 615769.9 Meter per Second <-- Velocity 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 » Laminar Flow Through Inclined Pipes » Flow Velocity of Stream

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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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

Flow Velocity of Stream Formula

LaTeX Go

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

what is Flow Velocity ?

Flow velocity in fluid dynamics, also macroscopic velocity in statistical mechanics, or drift velocity in electromagnetism, is a vector field used to mathematically describe the motion of a continuum. The length of the flow velocity vector is the flow speed and is a scalar.

How to Calculate Flow Velocity of Stream?

Flow Velocity of Stream calculator uses Velocity of Liquid = (Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2) to calculate the Velocity of Liquid, The Flow Velocity of Stream is defined as the flow of stream in pipe at a average rate in the discharge flow rate. Velocity of Liquid is denoted by v symbol.

How to calculate Flow Velocity of Stream using this online calculator? To use this online calculator for Flow Velocity of Stream, enter Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ), Piezometric Gradient (dh_/dx), Inclined Pipes Radius (R_inclined) & Radial Distance (d_radial) and hit the calculate button. Here is how the Flow Velocity of Stream calculation can be explained with given input values -> 615769.9 = (9810/(4*1.02))*10*(10.5^2-9.2^2).

FAQ

What is Flow Velocity of Stream?

The Flow Velocity of Stream is defined as the flow of stream in pipe at a average rate in the discharge flow rate and is represented as v = (γ_f/(4*μ))*dh_/dx*(R_inclined^2-d_radial^2) or Velocity of Liquid = (Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2). 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 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, 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 Flow Velocity of Stream?

The Flow Velocity of Stream is defined as the flow of stream in pipe at a average rate in the discharge flow rate is calculated using Velocity of Liquid = (Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2). To calculate Flow Velocity of Stream, you need Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ), Piezometric Gradient (dh_/dx), Inclined Pipes Radius (R_inclined) & Radial Distance (d_radial). With our tool, you need to enter the respective value for Specific Weight of Liquid, Dynamic Viscosity, Piezometric Gradient, 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.

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