Velocity Gradient given Piezometric Gradient with Shear Stress Calculator

✖Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.ⓘ Piezometric Gradient [dhbydx]			+10% -10%
✖Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance [d_radial]			+10% -10%

✖Velocity Gradient is the difference in velocity between the adjacent layers of the fluid.ⓘ Velocity Gradient given Piezometric Gradient with Shear Stress [VG]

⎘ Copy

👎

Formula

✖

Velocity Gradient given Piezometric Gradient with Shear Stress

Formula

`"VG" = ("γ"_{"f"}/"μ"_{"viscosity"})*"dhbydx"*0.5*"d"_{"radial"}`

Example

`"442411.8m/s"=("9.81kN/m³"/"10.2P")*"10"*0.5*"9.2m"`

Calculator

LaTeX

Reset

👍

Download Laminar Flow Formula PDF PDF Image

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
VG = (γ_f/μ_viscosity)*dhbydx*0.5*d_radial
This formula uses 5 Variables

Variables Used

Velocity Gradient - (Measured in Meter per Second) - Velocity Gradient is the difference in velocity between the adjacent layers of the fluid.
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.
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
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

VG = (γ_f/μ_viscosity)*dhbydx*0.5*d_radial --> (9810/1.02)*10*0.5*9.2

Evaluating ... ...

VG = 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)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law » Laminar Flow Through Inclined Pipes » Velocity Gradient given Piezometric Gradient with Shear Stress

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

Chandana P Dev has verified this Calculator and 1700+ 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

Velocity Gradient given Piezometric Gradient with Shear Stress Formula

Velocity Gradient = (Specific Weight of Liquid/Dynamic Viscosity)*Piezometric Gradient*0.5*Radial Distance
VG = (γ_f/μ_viscosity)*dhbydx*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 VG 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_viscosity), Piezometric Gradient (dhbydx) & 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 VG = (γ_f/μ_viscosity)*dhbydx*0.5*d_radial or Velocity Gradient = (Specific Weight of Liquid/Dynamic Viscosity)*Piezometric Gradient*0.5*Radial Distance. 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 & Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.

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_viscosity), Piezometric Gradient (dhbydx) & 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.

Home

FREE PDFs

🔍 Search