Specific Weight of Liquid given Flow Velocity of Stream Solution

STEP 0: Pre-Calculation Summary
Formula Used
Specific Weight of Liquid = Velocity of Liquid/((1/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2))
γf = v/((1/(4*μviscosity))*dhbydx*(Rinclined^2-dradial^2))
This formula uses 6 Variables
Variables Used
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.
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.
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
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)
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
γf = v/((1/(4*μviscosity))*dhbydx*(Rinclined^2-dradial^2)) --> 61.57/((1/(4*1.02))*10*(10.5^2-9.2^2))
Evaluating ... ...
γf = 0.980888715345568
STEP 3: Convert Result to Output's Unit
0.980888715345568 Newton per Cubic Meter -->0.000980888715345568 Kilonewton per Cubic Meter (Check conversion here)
FINAL ANSWER
0.000980888715345568 0.000981 Kilonewton per Cubic Meter <-- Specific Weight of Liquid
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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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

Specific Weight of Liquid given Flow Velocity of Stream Formula

Specific Weight of Liquid = Velocity of Liquid/((1/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2))
γf = v/((1/(4*μviscosity))*dhbydx*(Rinclined^2-dradial^2))

What is Specific Weight of Liquid ?

In fluid mechanics, specific weight represents the force exerted by gravity on a unit volume of a fluid. For this reason, units are expressed as force per unit volume (e.g., N/m3 or lbf/ft3). Specific weight can be used as a characteristic property of a fluid.

How to Calculate Specific Weight of Liquid given Flow Velocity of Stream?

Specific Weight of Liquid given Flow Velocity of Stream calculator uses Specific Weight of Liquid = Velocity of Liquid/((1/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2)) to calculate the Specific Weight of Liquid, The Specific Weight of Liquid given Flow Velocity of Stream is defined as weight per unit volume of liquid in the stream. Specific Weight of Liquid is denoted by γf symbol.

How to calculate Specific Weight of Liquid given Flow Velocity of Stream using this online calculator? To use this online calculator for Specific Weight of Liquid given Flow Velocity of Stream, enter Velocity of Liquid (v), Dynamic Viscosity viscosity), Piezometric Gradient (dhbydx), Inclined Pipes Radius (Rinclined) & Radial Distance (dradial) and hit the calculate button. Here is how the Specific Weight of Liquid given Flow Velocity of Stream calculation can be explained with given input values -> 9.8E-7 = 61.57/((1/(4*1.02))*10*(10.5^2-9.2^2)).

FAQ

What is Specific Weight of Liquid given Flow Velocity of Stream?
The Specific Weight of Liquid given Flow Velocity of Stream is defined as weight per unit volume of liquid in the stream and is represented as γf = v/((1/(4*μviscosity))*dhbydx*(Rinclined^2-dradial^2)) or Specific Weight of Liquid = Velocity of Liquid/((1/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2)). 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, 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 Specific Weight of Liquid given Flow Velocity of Stream?
The Specific Weight of Liquid given Flow Velocity of Stream is defined as weight per unit volume of liquid in the stream is calculated using Specific Weight of Liquid = Velocity of Liquid/((1/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2)). To calculate Specific Weight of Liquid given Flow Velocity of Stream, you need Velocity of Liquid (v), Dynamic Viscosity viscosity), Piezometric Gradient (dhbydx), Inclined Pipes Radius (Rinclined) & Radial Distance (dradial). With our tool, you need to enter the respective value for Velocity 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.
How many ways are there to calculate Specific Weight of Liquid?
In this formula, Specific Weight of Liquid uses Velocity of Liquid, Dynamic Viscosity, Piezometric Gradient, Inclined Pipes Radius & Radial Distance. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Specific Weight of Liquid = (2*Shear Stress)/(Radial Distance*Piezometric Gradient)
  • Specific Weight of Liquid = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Radial Distance)
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