Dynamic Viscosity given Mean Velocity of Flow in Section 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%
✖Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.ⓘ Piezometric Gradient [dhbydx]			+10% -10%
✖Diameter of Section is the diameter of the circular cross-section of the beam.ⓘ Diameter of Section [d_section]			+10% -10%
✖Horizontal Distance is the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+10% -10%
✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+10% -10%

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity given Mean Velocity of Flow in Section [μ_viscosity]

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Formula

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Dynamic Viscosity given Mean Velocity of Flow in Section

Formula

`"μ"_{"viscosity"} = ("γ"_{"f"}*"dhbydx"*("d"_{"section"}*"R"-"R"^2))/"V"_{"mean"}`

Example

`"395333.2P"=("9.81kN/m³"*"10"*("5m"*"1.01m"-("1.01m")^2))/"10m/s"`

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Dynamic Viscosity given Mean Velocity of Flow in Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Mean Velocity
μ_viscosity = (γ_f*dhbydx*(d_section*R-R^2))/V_mean
This formula uses 6 Variables

Variables Used

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.
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.
Piezometric Gradient - Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.
Diameter of Section - (Measured in Meter) - Diameter of Section is the diameter of the circular cross-section of the beam.
Horizontal Distance - (Measured in Meter) - Horizontal Distance is the instantaneous horizontal distance cover by an object in a projectile motion.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

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)
Piezometric Gradient: 10 --> No Conversion Required
Diameter of Section: 5 Meter --> 5 Meter No Conversion Required
Horizontal Distance: 1.01 Meter --> 1.01 Meter No Conversion Required
Mean Velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_viscosity = (γ_f*dhbydx*(d_section*R-R^2))/V_mean --> (9810*10*(5*1.01-1.01^2))/10

Evaluating ... ...

μ_viscosity = 39533.319

STEP 3: Convert Result to Output's Unit

39533.319 Pascal Second -->395333.19 Poise (Check conversion here)

FINAL ANSWER

395333.19 ≈ 395333.2 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Laminar Flow of Fluid in an Open Channel » Dynamic Viscosity given Mean Velocity of Flow in Section

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 18 Laminar Flow of Fluid in an Open Channel Calculators

Slope of Channel given Mean Velocity of Flow

Go Slope of Surface of Constant Pressure = (Dynamic Viscosity*Mean Velocity)/((Diameter of Section*Horizontal Distance-(Horizontal Distance^2)/2)*Specific Weight of Liquid)

Diameter of Section given Mean Velocity of Flow

Go Diameter of Section = ((Horizontal Distance^2+(-Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance

Mean Velocity in flow

Go Mean Velocity = -(Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity

Dynamic Viscosity given Mean Velocity of Flow in Section

Go Dynamic Viscosity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Mean Velocity

Diameter of Section given Potential Head Drop

Go Diameter of Section = sqrt((3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))

Length of Pipe given Potential Head Drop

Go Length of Pipe = (Head Loss due to Friction*Specific Weight of Liquid*(Diameter of Section^2))/(3*Dynamic Viscosity*Mean Velocity)

Potential Head Drop

Go Head Loss due to Friction = (3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Section^2)

Diameter of Section given Discharge per Unit Channel Width

Go Diameter of Section = ((3*Dynamic Viscosity*Discharge per Unit Width)/(Slope of bed*Specific Weight of Liquid))^(1/3)

Dynamic Viscosity given Discharge per Unit Channel Width

Go Dynamic Viscosity = (Specific Weight of Liquid*Slope of bed*Diameter of Section^3)/(3*Discharge per Unit Width)

Slope of Channel given Discharge per Unit Channel Width

Go Slope of bed = (3*Dynamic Viscosity*Discharge per Unit Width)/(Specific Weight of Liquid*Diameter of Section^3)

Discharge per unit channel width

Go Discharge per Unit Width = (Specific Weight of Liquid*Slope of bed*Diameter of Section^3)/(3*Dynamic Viscosity)

Slope of Channel given Shear Stress

Go Bed Slope = Shear Stress/(Specific Weight of Liquid*(Overall diameter of section-Horizontal Distance))

Diameter of Section given Slope of Channel

Go Diameter of Section = (Shear Stress/(Bed Slope*Specific Weight of Liquid))+Horizontal Distance

Horizontal Distance given Slope of Channel

Go Horizontal Distance = Diameter of Section-(Shear Stress/(Bed Slope*Specific Weight of Liquid))

Shear Stress given Slope of Channel

Go Shear Stress = Specific Weight of Liquid*Bed Slope*(Depth-Horizontal Distance)

Diameter of Section given Bed Shear Stress

Go Diameter of Section = Shear Stress/(Bed Slope*Specific Weight of Liquid)

Bed Slope given Bed Shear Stress

Go Bed Slope = Shear Stress/(Diameter of Section*Specific Weight of Liquid)

Bed Shear Stress

Go Shear Stress = Specific Weight of Liquid*Bed Slope*Diameter of Section

Dynamic Viscosity given Mean Velocity of Flow in Section Formula

What is Dynamic Viscosity?

Dynamic viscosity (also known as absolute viscosity) is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density.

How to Calculate Dynamic Viscosity given Mean Velocity of Flow in Section?

Dynamic Viscosity given Mean Velocity of Flow in Section calculator uses Dynamic Viscosity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Mean Velocity to calculate the Dynamic Viscosity, The Dynamic Viscosity given Mean Velocity of flow in section is defined as the resistance offered by the fluid on the relative motion of object in it. Dynamic Viscosity is denoted by μ_viscosity symbol.

How to calculate Dynamic Viscosity given Mean Velocity of Flow in Section using this online calculator? To use this online calculator for Dynamic Viscosity given Mean Velocity of Flow in Section, enter Specific Weight of Liquid (γ_f), Piezometric Gradient (dhbydx), Diameter of Section (d_section), Horizontal Distance (R) & Mean Velocity (V_mean) and hit the calculate button. Here is how the Dynamic Viscosity given Mean Velocity of Flow in Section calculation can be explained with given input values -> 4E+6 = (9810*10*(5*1.01-1.01^2))/10.

FAQ

What is Dynamic Viscosity given Mean Velocity of Flow in Section?

The Dynamic Viscosity given Mean Velocity of flow in section is defined as the resistance offered by the fluid on the relative motion of object in it and is represented as μ_viscosity = (γ_f*dhbydx*(d_section*R-R^2))/V_mean or Dynamic Viscosity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Mean Velocity. Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid, Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length, Diameter of Section is the diameter of the circular cross-section of the beam, Horizontal Distance is the instantaneous horizontal distance cover by an object in a projectile motion & Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

How to calculate Dynamic Viscosity given Mean Velocity of Flow in Section?

The Dynamic Viscosity given Mean Velocity of flow in section is defined as the resistance offered by the fluid on the relative motion of object in it is calculated using Dynamic Viscosity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Mean Velocity. To calculate Dynamic Viscosity given Mean Velocity of Flow in Section, you need Specific Weight of Liquid (γ_f), Piezometric Gradient (dhbydx), Diameter of Section (d_section), Horizontal Distance (R) & Mean Velocity (V_mean). With our tool, you need to enter the respective value for Specific Weight of Liquid, Piezometric Gradient, Diameter of Section, Horizontal Distance & Mean Velocity 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 Dynamic Viscosity?

In this formula, Dynamic Viscosity uses Specific Weight of Liquid, Piezometric Gradient, Diameter of Section, Horizontal Distance & Mean Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Dynamic Viscosity = (Specific Weight of Liquid*Slope of bed*Diameter of Section^3)/(3*Discharge per Unit Width)

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