Radius of Elemental Section of Pipe given Flow Velocity of Stream Calculator

✖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 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 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 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.ⓘ Radius of Elemental Section of Pipe given Flow Velocity of Stream [d_radial]

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Radius of Elemental Section of Pipe given Flow Velocity of Stream Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Inclined Pipes Radius: 10.5 Meter --> 10.5 Meter No Conversion Required
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)
Piezometric Gradient: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_radial = sqrt((R_inclined^2)+v/((γ_f/(4*μ))*dh_/dx)) --> sqrt((10.5^2)+61.57/((9810/(4*1.02))*10))

Evaluating ... ...

d_radial = 10.5001219378386

STEP 3: Convert Result to Output's Unit

10.5001219378386 Meter --> No Conversion Required

FINAL ANSWER

10.5001219378386 ≈ 10.50012 Meter <-- Radial Distance

(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 Elemental Section of Pipe given 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 Elemental Section of Pipe given Flow Velocity of Stream Formula

LaTeX Go

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

What is Stream Velocity ?

Stream Velocity is the speed of the water in the stream. Units are distance per time (e.g., meters per second or feet per second). Stream velocity is greatest in midstream near the surface and is slowest along the stream bed and banks due to friction.

How to Calculate Radius of Elemental Section of Pipe given Flow Velocity of Stream?

Radius of Elemental Section of Pipe given Flow Velocity of Stream calculator uses Radial Distance = sqrt((Inclined Pipes Radius^2)+Velocity of Liquid/((Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient)) to calculate the Radial Distance, The Radius of Elemental Section of Pipe given Flow Velocity of Stream is defined as width of sectional area. Radial Distance is denoted by d_radial symbol.

How to calculate Radius of Elemental Section of Pipe given Flow Velocity of Stream using this online calculator? To use this online calculator for Radius of Elemental Section of Pipe given Flow Velocity of Stream, enter Inclined Pipes Radius (R_inclined), Velocity of Liquid (v), Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ) & Piezometric Gradient (dh_/dx) and hit the calculate button. Here is how the Radius of Elemental Section of Pipe given Flow Velocity of Stream calculation can be explained with given input values -> 10.50012 = sqrt((10.5^2)+61.57/((9810/(4*1.02))*10)).

FAQ

What is Radius of Elemental Section of Pipe given Flow Velocity of Stream?

The Radius of Elemental Section of Pipe given Flow Velocity of Stream is defined as width of sectional area and is represented as d_radial = sqrt((R_inclined^2)+v/((γ_f/(4*μ))*dh_/dx)) or Radial Distance = sqrt((Inclined Pipes Radius^2)+Velocity of Liquid/((Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient)). The Inclined Pipes Radius refers to the distance from the center of the pipe’s cross-section to its inner wall, 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 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 Elemental Section of Pipe given Flow Velocity of Stream?

The Radius of Elemental Section of Pipe given Flow Velocity of Stream is defined as width of sectional area is calculated using Radial Distance = sqrt((Inclined Pipes Radius^2)+Velocity of Liquid/((Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient)). To calculate Radius of Elemental Section of Pipe given Flow Velocity of Stream, you need Inclined Pipes Radius (R_inclined), Velocity of Liquid (v), Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ) & Piezometric Gradient (dh_/dx). With our tool, you need to enter the respective value for Inclined Pipes Radius, Velocity of Liquid, Specific Weight of Liquid, Dynamic Viscosity & Piezometric Gradient 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 Radial Distance?

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

Radial Distance = (2*Shear Stress)/(Specific Weight of Liquid*Piezometric Gradient)
Radial Distance = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Specific Weight of Liquid)

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