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))
dradial = sqrt((Rinclined^2)+v/((γf/(4*μviscosity))*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
Radial Distance - (Measured in Meter) - Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
Inclined Pipes Radius - (Measured in Meter) - Inclined Pipes Radius is the radius of the pipe through which the fluid is flowing.
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.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
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.
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
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
dradial = sqrt((Rinclined^2)+v/((γf/(4*μviscosity))*dhbydx)) --> sqrt((10.5^2)+61.57/((9810/(4*1.02))*10))
Evaluating ... ...
dradial = 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 00.020 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

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 Elemental Section of Pipe given Flow Velocity of Stream Formula

Radial Distance = sqrt((Inclined Pipes Radius^2)+Velocity of Liquid/((Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient))
dradial = sqrt((Rinclined^2)+v/((γf/(4*μviscosity))*dhbydx))

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 dradial 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 (Rinclined), Velocity of Liquid (v), Specific Weight of Liquid f), Dynamic Viscosity viscosity) & Piezometric Gradient (dhbydx) 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 dradial = sqrt((Rinclined^2)+v/((γf/(4*μviscosity))*dhbydx)) or Radial Distance = sqrt((Inclined Pipes Radius^2)+Velocity of Liquid/((Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient)). Inclined Pipes Radius is the radius of the pipe through which the fluid is flowing, 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, Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied & Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.
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 (Rinclined), Velocity of Liquid (v), Specific Weight of Liquid f), Dynamic Viscosity viscosity) & Piezometric Gradient (dhbydx). 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)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!