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The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied. Check FAQs
μ=h128QLpπγfDpipe4
μ - Dynamic Viscosity?h - Head Loss due to Friction?Q - Discharge in Pipe?Lp - Length of Pipe?γf - Specific Weight of Liquid?Dpipe - Diameter of Pipe?π - Archimedes' constant?

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

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With units
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Here is how the Dynamic Viscosity given Head Loss over Length of Pipe with Discharge equation looks like with Values.

Here is how the Dynamic Viscosity given Head Loss over Length of Pipe with Discharge equation looks like with Units.

Here is how the Dynamic Viscosity given Head Loss over Length of Pipe with Discharge equation looks like.

62637.4371Edit=2.5Edit1281Edit0.1Edit3.14169.81Edit1.01Edit4
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Dynamic Viscosity given Head Loss over Length of Pipe with Discharge Solution

Follow our step by step solution on how to calculate Dynamic Viscosity given Head Loss over Length of Pipe with Discharge?

FIRST Step Consider the formula
μ=h128QLpπγfDpipe4
Next Step Substitute values of Variables
μ=2.5m1281m³/s0.1mπ9.81kN/m³1.01m4
Next Step Substitute values of Constants
μ=2.5m1281m³/s0.1m3.14169.81kN/m³1.01m4
Next Step Convert Units
μ=2.5m1281m³/s0.1m3.14169810N/m³1.01m4
Next Step Prepare to Evaluate
μ=2.512810.13.141698101.014
Next Step Evaluate
μ=6263.74371430892Pa*s
Next Step Convert to Output's Unit
μ=62637.4371430892P
LAST Step Rounding Answer
μ=62637.4371P

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

Variables
Constants
Dynamic Viscosity
The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Symbol: μ
Measurement: Dynamic ViscosityUnit: P
Note: Value should be greater than 0.
Head Loss due to Friction
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.
Symbol: h
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Discharge in Pipe
The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.
Symbol: Q
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value can be positive or negative.
Length of Pipe
The Length of Pipe refers to total length from one end to another in which the liquid is flowing.
Symbol: Lp
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Specific Weight of Liquid
The Specific Weight of Liquid refers to the weight per unit volume of that substance.
Symbol: γf
Measurement: Specific WeightUnit: kN/m³
Note: Value should be greater than 0.
Diameter of Pipe
The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.
Symbol: Dpipe
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other Formulas to find Dynamic Viscosity

​Go Dynamic Viscosity given Pressure Drop over Length of Pipe
μ=ΔP(Dpipe2)32LpVmean
​Go Dynamic Viscosity given Pressure Drop over Length of Pipe with Discharge
μ=πΔP(Dpipe4)128QLp
​Go Dynamic Viscosity given Head Loss over Length of Pipe
μ=h32VmeanLpγfDpipe2

Other formulas in Hagen Poiseuille Equation category

​Go Pressure drop over length of pipe
ΔP=(32μVmeanLpDpipe2)
​Go Mean Velocity of Flow given Pressure Drop over Length of Pipe
Vmean=ΔP32μLpDpipe2
​Go Diameter of Pipe given Pressure Drop over Length of Pipe
Dpipe=32μVmeanLpΔP
​Go Length of Pipe given Pressure Drop over Length of Pipe
Lp=ΔPDpipe232μVmean

How to Evaluate Dynamic Viscosity given Head Loss over Length of Pipe with Discharge?

Dynamic Viscosity given Head Loss over Length of Pipe with Discharge evaluator 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 evaluate 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 evaluate Dynamic Viscosity given Head Loss over Length of Pipe with Discharge using this online evaluator? To use this online evaluator 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.

FAQs on Dynamic Viscosity given Head Loss over Length of Pipe with Discharge

What is the formula to find Dynamic Viscosity given Head Loss over Length of Pipe with Discharge?
The formula of Dynamic Viscosity given Head Loss over Length of Pipe with Discharge is expressed as Dynamic Viscosity = Head Loss due to Friction/((128*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)). Here is an example- 1E+6 = 2.5/((128*1.000001*0.1)/(pi*9810*1.01^4)).
How to calculate Dynamic Viscosity given Head Loss over Length of Pipe with Discharge?
With Head Loss due to Friction (h), Discharge in Pipe (Q), Length of Pipe (Lp), Specific Weight of Liquid f) & Diameter of Pipe (Dpipe) we can find Dynamic Viscosity given Head Loss over Length of Pipe with Discharge using the formula - Dynamic Viscosity = Head Loss due to Friction/((128*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)). This formula also uses Archimedes' constant .
What are the other ways to Calculate Dynamic Viscosity?
Here are the different ways to Calculate Dynamic Viscosity-
  • Dynamic Viscosity=(Pressure Difference*(Diameter of Pipe^2))/(32*Length of Pipe*Mean Velocity)OpenImg
  • Dynamic Viscosity=(pi*Pressure Difference*(Diameter of Pipe^4))/(128*Discharge in Pipe*Length of Pipe)OpenImg
  • Dynamic Viscosity=Head Loss due to Friction/((32*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2))OpenImg
Can the Dynamic Viscosity given Head Loss over Length of Pipe with Discharge be negative?
No, the Dynamic Viscosity given Head Loss over Length of Pipe with Discharge, measured in Dynamic Viscosity cannot be negative.
Which unit is used to measure Dynamic Viscosity given Head Loss over Length of Pipe with Discharge?
Dynamic Viscosity given Head Loss over Length of Pipe with Discharge is usually measured using the Poise[P] for Dynamic Viscosity. Pascal Second[P], Newton Second per Square Meter[P], Millinewton Second per Square Meter[P] are the few other units in which Dynamic Viscosity given Head Loss over Length of Pipe with Discharge can be measured.
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