Specific Weight of Liquid given Velocity Gradient with Shear Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Specific Weight of Liquid = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Radial Distance)
γf = (2*VG*μ)/(dh/dx*dradial)
This formula uses 5 Variables
Variables Used
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.
Velocity Gradient - (Measured in Meter per Second) - The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Velocity Gradient: 76.6 Meter per Second --> 76.6 Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion ​here)
Piezometric Gradient: 10 --> No Conversion Required
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γf = (2*VG*μ)/(dh/dx*dradial) --> (2*76.6*1.02)/(10*9.2)
Evaluating ... ...
γf = 1.69852173913043
STEP 3: Convert Result to Output's Unit
1.69852173913043 Newton per Cubic Meter -->0.00169852173913043 Kilonewton per Cubic Meter (Check conversion ​here)
FINAL ANSWER
0.00169852173913043 0.001699 Kilonewton per Cubic Meter <-- Specific Weight of Liquid
(Calculation completed in 00.004 seconds)

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​ 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

Specific Weight of Liquid given Velocity Gradient with Shear Stress Formula

​LaTeX ​Go
Specific Weight of Liquid = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Radial Distance)
γf = (2*VG*μ)/(dh/dx*dradial)

What is Specific Weight of Liquid ?

Specific weight, sometimes referred to as unit weight, is simply the weight of fluid per unit volume. It is usually denoted by the Greek letter γ (gamma) and has dimensions of force per unit volume.

How to Calculate Specific Weight of Liquid given Velocity Gradient with Shear Stress?

Specific Weight of Liquid given Velocity Gradient with Shear Stress calculator uses Specific Weight of Liquid = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Radial Distance) to calculate the Specific Weight of Liquid, The Specific Weight of Liquid given Velocity Gradient with Shear Stress 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 Velocity Gradient with Shear Stress using this online calculator? To use this online calculator for Specific Weight of Liquid given Velocity Gradient with Shear Stress, enter Velocity Gradient (VG), Dynamic Viscosity (μ), Piezometric Gradient (dh/dx) & Radial Distance (dradial) and hit the calculate button. Here is how the Specific Weight of Liquid given Velocity Gradient with Shear Stress calculation can be explained with given input values -> 1.7E-6 = (2*76.6*1.02)/(10*9.2).

FAQ

What is Specific Weight of Liquid given Velocity Gradient with Shear Stress?
The Specific Weight of Liquid given Velocity Gradient with Shear Stress is defined as weight per unit volume of liquid in the stream and is represented as γf = (2*VG*μ)/(dh/dx*dradial) or Specific Weight of Liquid = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Radial Distance). The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid, 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 & 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.
How to calculate Specific Weight of Liquid given Velocity Gradient with Shear Stress?
The Specific Weight of Liquid given Velocity Gradient with Shear Stress is defined as weight per unit volume of liquid in the stream is calculated using Specific Weight of Liquid = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Radial Distance). To calculate Specific Weight of Liquid given Velocity Gradient with Shear Stress, you need Velocity Gradient (VG), Dynamic Viscosity (μ), Piezometric Gradient (dh/dx) & Radial Distance (dradial). With our tool, you need to enter the respective value for Velocity Gradient, Dynamic Viscosity, Piezometric Gradient & 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 Gradient, Dynamic Viscosity, Piezometric Gradient & 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 = Velocity of Liquid/((1/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2))
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