Radius of Pipe for Flow Velocity of Stream Calculator

✖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.ⓘ Velocity of Liquid [v]			+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 Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+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.ⓘ Radius of Pipe for Flow Velocity of Stream [R_inclined]

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Radius of Pipe for Flow Velocity of Stream Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inclined Pipes Radius = sqrt((Radial Distance^2)-((Velocity of Liquid*4*Dynamic Viscosity)/(Specific Weight of Liquid*Piezometric Gradient)))
R_inclined = sqrt((d_radial^2)-((v*4*μ)/(γ_f*dh_/dx)))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Specific Weight of Liquid - (Measured in Kilonewton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
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.

STEP 1: Convert Input(s) to Base Unit

Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required
Velocity of Liquid: 61.57 Meter per Second --> 61.57 Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Piezometric Gradient: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_inclined = sqrt((d_radial^2)-((v*4*μ)/(γ_f*dh_/dx))) --> sqrt((9.2^2)-((61.57*4*1.02)/(9.81*10)))

Evaluating ... ...

R_inclined = 9.05976216684951

STEP 3: Convert Result to Output's Unit

9.05976216684951 Meter --> No Conversion Required

FINAL ANSWER

9.05976216684951 ≈ 9.059762 Meter <-- Inclined Pipes Radius

(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 » Radius of Pipe for Flow Velocity of Stream

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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

Radius of Pipe for Flow Velocity of Stream Formula

LaTeX Go

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

What is Pipe Flow in Hydrology?

In hydrology, pipe flow is a type of subterranean water flow where water travels along cracks in the soil or old root systems found in above ground vegetation. In such soils which have a high vegetation content water is able to travel along the 'pipes', allowing water to travel faster than through flow.

How to Calculate Radius of Pipe for Flow Velocity of Stream?

Radius of Pipe for Flow Velocity of Stream calculator uses Inclined Pipes Radius = sqrt((Radial Distance^2)-((Velocity of Liquid*4*Dynamic Viscosity)/(Specific Weight of Liquid*Piezometric Gradient))) to calculate the Inclined Pipes Radius, The Radius of Pipe for Flow Velocity of Stream is defined as area of cross sectional element of the pipe in the stream. Inclined Pipes Radius is denoted by R_inclined symbol.

How to calculate Radius of Pipe for Flow Velocity of Stream using this online calculator? To use this online calculator for Radius of Pipe for Flow Velocity of Stream, enter Radial Distance (d_radial), Velocity of Liquid (v), Dynamic Viscosity (μ), Specific Weight of Liquid (γ_f) & Piezometric Gradient (dh_/dx) and hit the calculate button. Here is how the Radius of Pipe for Flow Velocity of Stream calculation can be explained with given input values -> 9.059762 = sqrt((9.2^2)-((61.57*4*1.02)/(9810*10))).

FAQ

What is Radius of Pipe for Flow Velocity of Stream?

The Radius of Pipe for Flow Velocity of Stream is defined as area of cross sectional element of the pipe in the stream and is represented as R_inclined = sqrt((d_radial^2)-((v*4*μ)/(γ_f*dh_/dx))) or Inclined Pipes Radius = sqrt((Radial Distance^2)-((Velocity of Liquid*4*Dynamic Viscosity)/(Specific Weight of Liquid*Piezometric Gradient))). 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, The Velocity of Liquid refers to the speed at which the fluid moves through a pipe or channel, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Specific Weight of Liquid refers to the weight per unit volume of that substance & 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.

How to calculate Radius of Pipe for Flow Velocity of Stream?

The Radius of Pipe for Flow Velocity of Stream is defined as area of cross sectional element of the pipe in the stream is calculated using Inclined Pipes Radius = sqrt((Radial Distance^2)-((Velocity of Liquid*4*Dynamic Viscosity)/(Specific Weight of Liquid*Piezometric Gradient))). To calculate Radius of Pipe for Flow Velocity of Stream, you need Radial Distance (d_radial), Velocity of Liquid (v), Dynamic Viscosity (μ), Specific Weight of Liquid (γ_f) & Piezometric Gradient (dh_/dx). With our tool, you need to enter the respective value for Radial Distance, Velocity of Liquid, Dynamic Viscosity, Specific Weight of Liquid & Piezometric Gradient 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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