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
μviscosity = (γf*dhbydx*(dsection*R-R^2))/Vmean
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
μviscosity = (γf*dhbydx*(dsection*R-R^2))/Vmean --> (9810*10*(5*1.01-1.01^2))/10
Evaluating ... ...
μviscosity = 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)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

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

Dynamic Viscosity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Mean Velocity
μviscosity = (γf*dhbydx*(dsection*R-R^2))/Vmean

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 μviscosity 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 f), Piezometric Gradient (dhbydx), Diameter of Section (dsection), Horizontal Distance (R) & Mean Velocity (Vmean) 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 μviscosity = (γf*dhbydx*(dsection*R-R^2))/Vmean 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 f), Piezometric Gradient (dhbydx), Diameter of Section (dsection), Horizontal Distance (R) & Mean Velocity (Vmean). 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)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!