Dynamic Viscosity given Mean Velocity of Flow in Section 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 Piezometric Gradient refers to the variation of piezometric head with respect to distance in along the pipe length.ⓘ Piezometric Gradient [dh\|dx]			+10% -10%
✖The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.ⓘ Diameter of Section [d_section]			+10% -10%
✖The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+10% -10%
✖The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.ⓘ Mean Velocity [V_mean]			+10% -10%

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity given Mean Velocity of Flow in Section [μ]

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Formula

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Dynamic Viscosity given Mean Velocity of Flow in Section

Formula

μ = \frac{γ f \cdot dh|dx \cdot (d section \cdot R - R^{2})}{V mean}

Example

10.21146 P = \frac{9.81 kN/m³ \cdot 0.2583 \cdot (5 m \cdot 1.01 m - {1.01 m}^{2})}{10 m/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 = (γ_f*dh|dx*(d_section*R-R^2))/V_mean
This formula uses 6 Variables

Variables Used

Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Specific Weight of Liquid - (Measured in Kilonewton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
Piezometric Gradient - The Piezometric Gradient refers to the variation of piezometric head with respect to distance in along the pipe length.
Diameter of Section - (Measured in Meter) - The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.
Horizontal Distance - (Measured in Meter) - The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion.
Mean Velocity - (Measured in Meter per Second) - The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.

STEP 1: Convert Input(s) to Base Unit

Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Piezometric Gradient: 0.2583 --> 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 = (γ_f*dh|dx*(d_section*R-R^2))/V_mean --> (9.81*0.2583*(5*1.01-1.01^2))/10

Evaluating ... ...

μ = 1.02114562977

STEP 3: Convert Result to Output's Unit

1.02114562977 Pascal Second -->10.2114562977 Poise (Check conversion here)

FINAL ANSWER

10.2114562977 ≈ 10.21146 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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< 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

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

Mean Velocity of Flow in Section

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 Formula

Dynamic Viscosity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Mean Velocity
μ = (γ_f*dh|dx*(d_section*R-R^2))/V_mean

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 formula is defined as the resistance offered by the fluid on the relative motion of object in it. Dynamic Viscosity is denoted by μ 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 (dh|dx), 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*0.2583*(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 formula is defined as the resistance offered by the fluid on the relative motion of object in it and is represented as μ = (γ_f*dh|dx*(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. The Specific Weight of Liquid refers to the weight per unit volume of that substance, The Piezometric Gradient refers to the variation of piezometric head with respect to distance in along the pipe length, The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle, The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion & The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.

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

The Dynamic Viscosity given Mean Velocity of Flow in Section formula 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 (dh|dx), 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*Kinematic Viscosity)

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