Dynamic Viscosity given Head Loss over Length of Pipe with Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dynamic Viscosity = Head Loss due to Friction/((128*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4))
μ = h/((128*Q*Lp)/(pi*γf*Dpipe^4))
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction refers to the loss of energy (or pressure) that occurs when a fluid flows through a pipe or duct due to the resistance created by the surface of the pipe.
Discharge in Pipe - (Measured in Cubic Meter per Second) - The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.
Length of Pipe - (Measured in Meter) - The Length of Pipe refers to total length from one end to another in which the liquid is flowing.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
Diameter of Pipe - (Measured in Meter) - The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.
STEP 1: Convert Input(s) to Base Unit
Head Loss due to Friction: 2.5 Meter --> 2.5 Meter No Conversion Required
Discharge in Pipe: 1.000001 Cubic Meter per Second --> 1.000001 Cubic Meter per Second No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion ​here)
Diameter of Pipe: 1.01 Meter --> 1.01 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = h/((128*Q*Lp)/(pi*γf*Dpipe^4)) --> 2.5/((128*1.000001*0.1)/(pi*9810*1.01^4))
Evaluating ... ...
μ = 6263.74371430892
STEP 3: Convert Result to Output's Unit
6263.74371430892 Pascal Second -->62637.4371430892 Poise (Check conversion ​here)
FINAL ANSWER
62637.4371430892 62637.44 Poise <-- Dynamic Viscosity
(Calculation completed in 00.004 seconds)

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Hagen Poiseuille Equation Calculators

Diameter of Pipe given Pressure Drop over Length of Pipe
​ LaTeX ​ Go Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/Pressure Difference)
Mean Velocity of Flow given Pressure Drop over Length of Pipe
​ LaTeX ​ Go Mean Velocity = Pressure Difference/(32*Dynamic Viscosity*Length of Pipe/(Diameter of Pipe^2))
Length of Pipe given Pressure Drop over Length of Pipe
​ LaTeX ​ Go Length of Pipe = (Pressure Difference*Diameter of Pipe^2)/(32*Dynamic Viscosity*Mean Velocity)
Pressure drop over length of pipe
​ LaTeX ​ Go Pressure Difference = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Diameter of Pipe^2))

Dynamic Viscosity given Head Loss over Length of Pipe with Discharge Formula

​LaTeX ​Go
Dynamic Viscosity = Head Loss due to Friction/((128*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4))
μ = h/((128*Q*Lp)/(pi*γf*Dpipe^4))

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 Head Loss over Length of Pipe with Discharge?

Dynamic Viscosity given Head Loss over Length of Pipe with Discharge calculator uses Dynamic Viscosity = Head Loss due to Friction/((128*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)) to calculate the Dynamic Viscosity, The Dynamic Viscosity given Head Loss over Length of Pipe with Discharge is defined as resistance offered by the fluid on to the relative motion. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity given Head Loss over Length of Pipe with Discharge using this online calculator? To use this online calculator for Dynamic Viscosity given Head Loss over Length of Pipe with Discharge, enter Head Loss due to Friction (h), Discharge in Pipe (Q), Length of Pipe (Lp), Specific Weight of Liquid f) & Diameter of Pipe (Dpipe) and hit the calculate button. Here is how the Dynamic Viscosity given Head Loss over Length of Pipe with Discharge calculation can be explained with given input values -> 1E+6 = 2.5/((128*1.000001*0.1)/(pi*9810*1.01^4)).

FAQ

What is Dynamic Viscosity given Head Loss over Length of Pipe with Discharge?
The Dynamic Viscosity given Head Loss over Length of Pipe with Discharge is defined as resistance offered by the fluid on to the relative motion and is represented as μ = h/((128*Q*Lp)/(pi*γf*Dpipe^4)) or Dynamic Viscosity = Head Loss due to Friction/((128*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)). The Head Loss due to Friction refers to the loss of energy (or pressure) that occurs when a fluid flows through a pipe or duct due to the resistance created by the surface of the pipe, The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time, The Length of Pipe refers to total length from one end to another in which the liquid is flowing, The Specific Weight of Liquid refers to the weight per unit volume of that substance & The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.
How to calculate Dynamic Viscosity given Head Loss over Length of Pipe with Discharge?
The Dynamic Viscosity given Head Loss over Length of Pipe with Discharge is defined as resistance offered by the fluid on to the relative motion is calculated using Dynamic Viscosity = Head Loss due to Friction/((128*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)). To calculate Dynamic Viscosity given Head Loss over Length of Pipe with Discharge, you need Head Loss due to Friction (h), Discharge in Pipe (Q), Length of Pipe (Lp), Specific Weight of Liquid f) & Diameter of Pipe (Dpipe). With our tool, you need to enter the respective value for Head Loss due to Friction, Discharge in Pipe, Length of Pipe, Specific Weight of Liquid & Diameter of Pipe 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 Head Loss due to Friction, Discharge in Pipe, Length of Pipe, Specific Weight of Liquid & Diameter of Pipe. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Dynamic Viscosity = (Pressure Difference*(Diameter of Pipe^2))/(32*Length of Pipe*Mean Velocity)
  • Dynamic Viscosity = (pi*Pressure Difference*(Diameter of Pipe^4))/(128*Discharge in Pipe*Length of Pipe)
  • Dynamic Viscosity = Head Loss due to Friction/((32*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2))
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