Velocity Gradient given Piezometric Gradient with Shear Stress Calculator

✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖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.ⓘ Piezometric Gradient [dh_/dx]			+10% -10%
✖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.ⓘ Radial Distance [d_radial]			+10% -10%

✖The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid.ⓘ Velocity Gradient given Piezometric Gradient with Shear Stress [V_G]

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Velocity Gradient given Piezometric Gradient with Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Gradient = (Specific Weight of Liquid/Dynamic Viscosity)*Piezometric Gradient*0.5*Radial Distance
V_G = (γ_f/μ)*dh_/dx*0.5*d_radial
This formula uses 5 Variables

Variables Used

Velocity Gradient - (Measured in Meter per Second) - The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid.
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.
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

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
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_G = (γ_f/μ)*dh_/dx*0.5*d_radial --> (9810/1.02)*10*0.5*9.2

Evaluating ... ...

V_G = 442411.764705882

STEP 3: Convert Result to Output's Unit

442411.764705882 Meter per Second --> No Conversion Required

FINAL ANSWER

442411.764705882 ≈ 442411.8 Meter per Second <-- Velocity Gradient

(Calculation completed in 00.004 seconds)

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< Laminar Flow Through Inclined Pipes Calculators

Radius of Elemental Section of Pipe given Shear Stress

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

Velocity Gradient given Piezometric Gradient with Shear Stress Formula

LaTeX Go

Velocity Gradient = (Specific Weight of Liquid/Dynamic Viscosity)*Piezometric Gradient*0.5*Radial Distance
V_G = (γ_f/μ)*dh_/dx*0.5*d_radial

What is Velocity Gradient ?

The difference in velocity between adjacent layers of the fluid is known as a velocity gradient and is given by v/x, where v is the velocity difference and x is the distance between the layers.

How to Calculate Velocity Gradient given Piezometric Gradient with Shear Stress?

Velocity Gradient given Piezometric Gradient with Shear Stress calculator uses Velocity Gradient = (Specific Weight of Liquid/Dynamic Viscosity)*Piezometric Gradient*0.5*Radial Distance to calculate the Velocity Gradient, The Velocity Gradient given Piezometric Gradient with Shear Stress is defined as change in velocity with respect to radial distance. Velocity Gradient is denoted by V_G symbol.

How to calculate Velocity Gradient given Piezometric Gradient with Shear Stress using this online calculator? To use this online calculator for Velocity Gradient given Piezometric Gradient with Shear Stress, enter Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ), Piezometric Gradient (dh_/dx) & Radial Distance (d_radial) and hit the calculate button. Here is how the Velocity Gradient given Piezometric Gradient with Shear Stress calculation can be explained with given input values -> 442411.8 = (9810/1.02)*10*0.5*9.2.

FAQ

What is Velocity Gradient given Piezometric Gradient with Shear Stress?

The Velocity Gradient given Piezometric Gradient with Shear Stress is defined as change in velocity with respect to radial distance and is represented as V_G = (γ_f/μ)*dh_/dx*0.5*d_radial or Velocity Gradient = (Specific Weight of Liquid/Dynamic Viscosity)*Piezometric Gradient*0.5*Radial Distance. The Specific Weight of Liquid refers to the weight per unit volume of that substance, 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 Velocity Gradient given Piezometric Gradient with Shear Stress?

The Velocity Gradient given Piezometric Gradient with Shear Stress is defined as change in velocity with respect to radial distance is calculated using Velocity Gradient = (Specific Weight of Liquid/Dynamic Viscosity)*Piezometric Gradient*0.5*Radial Distance. To calculate Velocity Gradient given Piezometric Gradient with Shear Stress, you need Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ), Piezometric Gradient (dh_/dx) & Radial Distance (d_radial). With our tool, you need to enter the respective value for Specific Weight of Liquid, 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.

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