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 = (γf/(4*μviscosity))*dhbydx*(Rinclined^2-dradial^2)
This formula uses 6 Variables
Variables Used
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.
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.
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 = (γf/(4*μviscosity))*dhbydx*(Rinclined^2-dradial^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)

Credits

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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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

Flow Velocity of Stream Formula

Velocity of Liquid = (Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2)
v = (γf/(4*μviscosity))*dhbydx*(Rinclined^2-dradial^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 f), Dynamic Viscosity viscosity), Piezometric Gradient (dhbydx), Inclined Pipes Radius (Rinclined) & Radial Distance (dradial) 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 = (γf/(4*μviscosity))*dhbydx*(Rinclined^2-dradial^2) or Velocity of Liquid = (Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2). 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, Inclined Pipes Radius is the radius of the pipe through which the fluid is flowing & Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
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 f), Dynamic Viscosity viscosity), Piezometric Gradient (dhbydx), Inclined Pipes Radius (Rinclined) & Radial Distance (dradial). 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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