Dynamic Viscosity given Head Loss over Length of Pipe Calculator

✖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.ⓘ Head Loss due to Friction [h]			+10% -10%
✖The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.ⓘ Mean Velocity [V_mean]			+10% -10%
✖The Length of Pipe refers to total length from one end to another in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_pipe]			+10% -10%

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity given Head Loss over Length of Pipe [μ]

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Formula

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Dynamic Viscosity given Head Loss over Length of Pipe

Formula

μ = \frac{h}{\frac{32 \cdot V mean \cdot L p}{γ f \cdot {D pipe}^{2}}}

Example

7740.703 P = \frac{2.5 m}{\frac{32 \cdot 10.1 m/s \cdot 0.10 m}{9.81 kN/m³ \cdot {1.01 m}^{2}}}

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Dynamic Viscosity given Head Loss over Length of Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = Head Loss due to Friction/((32*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2))
μ = h/((32*V_mean*L_p)/(γ_f*D_pipe^2))
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.
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.
Mean Velocity - (Measured in Meter per Second) - The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.
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
Mean Velocity: 10.1 Meter per Second --> 10.1 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/((32*V_mean*L_p)/(γ_f*D_pipe^2)) --> 2.5/((32*10.1*0.1)/(9810*1.01^2))

Evaluating ... ...

μ = 774.0703125

STEP 3: Convert Result to Output's Unit

774.0703125 Pascal Second -->7740.703125 Poise (Check conversion here)

FINAL ANSWER

7740.703125 ≈ 7740.703 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Hagen Poiseuille Equation Calculators

Diameter of Pipe given Pressure Drop over Length of Pipe

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

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

Go Length of Pipe = (Pressure Difference*Diameter of Pipe^2)/(32*Dynamic Viscosity*Mean Velocity)

Pressure drop over length of pipe

Go Pressure Difference = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Diameter of Pipe^2))

Dynamic Viscosity given Head Loss over Length of Pipe Formula

Dynamic Viscosity = Head Loss due to Friction/((32*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2))
μ = h/((32*V_mean*L_p)/(γ_f*D_pipe^2))

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?

Dynamic Viscosity given Head Loss over Length of Pipe calculator uses Dynamic Viscosity = Head Loss due to Friction/((32*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2)) to calculate the Dynamic Viscosity, The Dynamic Viscosity given Head Loss over Length of Pipe 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 using this online calculator? To use this online calculator for Dynamic Viscosity given Head Loss over Length of Pipe, enter Head Loss due to Friction (h), Mean Velocity (V_mean), Length of Pipe (L_p), Specific Weight of Liquid (γ_f) & Diameter of Pipe (D_pipe) and hit the calculate button. Here is how the Dynamic Viscosity given Head Loss over Length of Pipe calculation can be explained with given input values -> 123851.2 = 2.5/((32*10.1*0.1)/(9810*1.01^2)).

FAQ

What is Dynamic Viscosity given Head Loss over Length of Pipe?

The Dynamic Viscosity given Head Loss over Length of Pipe is defined as resistance offered by the fluid on to the relative motion and is represented as μ = h/((32*V_mean*L_p)/(γ_f*D_pipe^2)) or Dynamic Viscosity = Head Loss due to Friction/((32*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2)). 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 Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel, 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?

The Dynamic Viscosity given Head Loss over Length of Pipe is defined as resistance offered by the fluid on to the relative motion is calculated using Dynamic Viscosity = Head Loss due to Friction/((32*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2)). To calculate Dynamic Viscosity given Head Loss over Length of Pipe, you need Head Loss due to Friction (h), Mean Velocity (V_mean), Length of Pipe (L_p), Specific Weight of Liquid (γ_f) & Diameter of Pipe (D_pipe). With our tool, you need to enter the respective value for Head Loss due to Friction, Mean Velocity, 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, Mean Velocity, 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/((128*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4))

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