Dynamic Viscosity given Discharge per Unit Channel Width 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 Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields.ⓘ Slope of Bed [s]			+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 Kinematic Viscosity refers to the fluid’s internal resistance to flow under the influence of gravity.ⓘ Kinematic Viscosity [ν]			+10% -10%

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity given Discharge per Unit Channel Width [μ]

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Dynamic Viscosity given Discharge per Unit Channel Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = (Specific Weight of Liquid*Slope of Bed*Diameter of Section^3)/(3*Kinematic Viscosity)
μ = (γ_f*s*d_section^3)/(3*ν)
This formula uses 5 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.
Slope of Bed - The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields.
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.
Kinematic Viscosity - (Measured in Square Meter per Second) - The Kinematic Viscosity refers to the fluid’s internal resistance to flow under the influence of gravity.

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
Slope of Bed: 0.01 --> No Conversion Required
Diameter of Section: 5 Meter --> 5 Meter No Conversion Required
Kinematic Viscosity: 4 Square Meter per Second --> 4 Square Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (γ_f*s*d_section^3)/(3*ν) --> (9.81*0.01*5^3)/(3*4)

Evaluating ... ...

μ = 1.021875

STEP 3: Convert Result to Output's Unit

1.021875 Pascal Second -->10.21875 Poise (Check conversion here)

FINAL ANSWER

10.21875 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Laminar Flow of Fluid in an Open Channel Calculators

Slope of Channel given Mean Velocity of Flow

LaTeX 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

LaTeX 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

LaTeX 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

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

Dynamic Viscosity given Discharge per Unit Channel Width Formula

LaTeX Go

Dynamic Viscosity = (Specific Weight of Liquid*Slope of Bed*Diameter of Section^3)/(3*Kinematic Viscosity)
μ = (γ_f*s*d_section^3)/(3*ν)

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 Discharge per Unit Channel Width?

Dynamic Viscosity given Discharge per Unit Channel Width calculator uses Dynamic Viscosity = (Specific Weight of Liquid*Slope of Bed*Diameter of Section^3)/(3*Kinematic Viscosity) to calculate the Dynamic Viscosity, The Dynamic Viscosity given Discharge per Unit Channel Width formula is defined as resistance offered to relative motion of object in the fluid. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity given Discharge per Unit Channel Width using this online calculator? To use this online calculator for Dynamic Viscosity given Discharge per Unit Channel Width, enter Specific Weight of Liquid (γ_f), Slope of Bed (s), Diameter of Section (d_section) & Kinematic Viscosity (ν) and hit the calculate button. Here is how the Dynamic Viscosity given Discharge per Unit Channel Width calculation can be explained with given input values -> 40793.41 = (9810*0.01*5^3)/(3*4).

FAQ

What is Dynamic Viscosity given Discharge per Unit Channel Width?

The Dynamic Viscosity given Discharge per Unit Channel Width formula is defined as resistance offered to relative motion of object in the fluid and is represented as μ = (γ_f*s*d_section^3)/(3*ν) or Dynamic Viscosity = (Specific Weight of Liquid*Slope of Bed*Diameter of Section^3)/(3*Kinematic Viscosity). The Specific Weight of Liquid refers to the weight per unit volume of that substance, The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields, 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 Kinematic Viscosity refers to the fluid’s internal resistance to flow under the influence of gravity.

How to calculate Dynamic Viscosity given Discharge per Unit Channel Width?

The Dynamic Viscosity given Discharge per Unit Channel Width formula is defined as resistance offered to relative motion of object in the fluid is calculated using Dynamic Viscosity = (Specific Weight of Liquid*Slope of Bed*Diameter of Section^3)/(3*Kinematic Viscosity). To calculate Dynamic Viscosity given Discharge per Unit Channel Width, you need Specific Weight of Liquid (γ_f), Slope of Bed (s), Diameter of Section (d_section) & Kinematic Viscosity (ν). With our tool, you need to enter the respective value for Specific Weight of Liquid, Slope of Bed, Diameter of Section & Kinematic Viscosity 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, Slope of Bed, Diameter of Section & Kinematic Viscosity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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