Radius of Pipe for Flow Velocity of Stream Calculator

✖Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance [d_radial]			+10% -10%
✖Velocity of Liquid is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Velocity of Liquid [v]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.ⓘ Piezometric Gradient [dhbydx]			+10% -10%

✖Inclined Pipes Radius is the radius of the pipe through which the fluid is flowing.ⓘ Radius of Pipe for Flow Velocity of Stream [R_inclined]

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Formula

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Radius of Pipe for Flow Velocity of Stream

Formula

`"R"_{"inclined"} = sqrt(("d"_{"radial"}^2)-(("v"*4*"μ"_{"viscosity"})/("γ"_{"f"}*"dhbydx")))`

Example

`"9.059762m"=sqrt((("9.2m")^2)-(("61.57m/s"*4*"10.2P")/("9.81kN/m³"*"10")))`

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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_viscosity)/(γ_f*dhbydx)))
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) - Inclined Pipes Radius is the radius of the pipe through which the fluid is flowing.
Radial Distance - (Measured in Meter) - Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
Velocity of Liquid - (Measured in Meter per Second) - Velocity of Liquid is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Specific Weight of Liquid - (Measured in Kilonewton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
Piezometric Gradient - Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.

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_viscosity)/(γ_f*dhbydx))) --> 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 – Hagen Poiseuille Law » 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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< 15 Laminar Flow Through Inclined Pipes Calculators

Radius of Elemental Section of Pipe given Flow Velocity of Stream

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

Radius of Pipe for Flow Velocity of Stream

Go Inclined Pipes Radius = sqrt((Radial Distance^2)-((Velocity of Liquid*4*Dynamic Viscosity)/(Specific Weight of Liquid*Piezometric Gradient)))

Specific Weight of Liquid given Flow Velocity of Stream

Go Specific Weight of Liquid = Velocity of Liquid/((1/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2))

Piezometric Gradient given Flow Velocity of Stream

Go Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2))

Dynamic Viscosity given Flow Velocity of Stream

Go Dynamic Viscosity = (Specific Weight of Liquid/((4*Velocity of Liquid))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2))

Flow Velocity of Stream

Go Velocity of Liquid = (Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2)

Piezometric Gradient given Velocity Gradient with Shear Stress

Go Piezometric Gradient = Velocity Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*Radial Distance))

Radius of Elemental Section of Pipe given Velocity Gradient with Shear Stress

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

Specific Weight of Liquid given Velocity Gradient with Shear Stress

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

Velocity Gradient given Piezometric Gradient with Shear Stress

Go Velocity Gradient = (Specific Weight of Liquid/Dynamic Viscosity)*Piezometric Gradient*0.5*Radial Distance

Dynamic Viscosity given Velocity Gradient with Shear Stress

Go Dynamic Viscosity = (Specific Weight of Liquid/Velocity Gradient)*Piezometric Gradient*0.5*Radial Distance

Radius of Elemental Section of Pipe given Shear Stress

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

Specific Weight of Fluid given Shear Stress

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

Piezometric Gradient given Shear Stress

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

Shear Stresses

Go Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2

Radius of Pipe for Flow Velocity of Stream Formula

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_viscosity), Specific Weight of Liquid (γ_f) & Piezometric Gradient (dhbydx) 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_viscosity)/(γ_f*dhbydx))) or Inclined Pipes Radius = sqrt((Radial Distance^2)-((Velocity of Liquid*4*Dynamic Viscosity)/(Specific Weight of Liquid*Piezometric Gradient))). Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point, Velocity of Liquid is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid & Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.

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_viscosity), Specific Weight of Liquid (γ_f) & Piezometric Gradient (dhbydx). 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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