Dynamic Viscosity given Pressure Drop over Length of Pipe with Discharge Calculator

✖The Pressure Difference refers to the variation in pressure between two points within a fluid or gas, a critical factor in driving fluid motion.ⓘ Pressure Difference [ΔP]			+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 Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.ⓘ Discharge in Pipe [Q]			+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 Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity given Pressure Drop over Length of Pipe with Discharge [μ]

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Dynamic Viscosity given Pressure Drop over Length of Pipe with Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = (pi*Pressure Difference*(Diameter of Pipe^4))/(128*Discharge in Pipe*Length of Pipe)
μ = (pi*ΔP*(D_pipe^4))/(128*Q*L_p)
This formula uses 1 Constants, 5 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.
Pressure Difference - (Measured in Pascal) - The Pressure Difference refers to the variation in pressure between two points within a fluid or gas, a critical factor in driving fluid motion.
Diameter of Pipe - (Measured in Meter) - The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.
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.

STEP 1: Convert Input(s) to Base Unit

Pressure Difference: 90 Newton per Square Meter --> 90 Pascal (Check conversion here)
Diameter of Pipe: 1.01 Meter --> 1.01 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (pi*ΔP*(D_pipe^4))/(128*Q*L_p) --> (pi*90*(1.01^4))/(128*1.000001*0.1)

Evaluating ... ...

μ = 22.9862154653538

STEP 3: Convert Result to Output's Unit

22.9862154653538 Pascal Second -->229.862154653538 Poise (Check conversion here)

FINAL ANSWER

229.862154653538 ≈ 229.8622 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow Equations » Hagen Poiseuille Equation » Dynamic Viscosity given Pressure Drop over Length of Pipe with Discharge

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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 Pressure Drop over Length of Pipe with Discharge Formula

LaTeX Go

Dynamic Viscosity = (pi*Pressure Difference*(Diameter of Pipe^4))/(128*Discharge in Pipe*Length of Pipe)
μ = (pi*ΔP*(D_pipe^4))/(128*Q*L_p)

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 Pressure Drop over Length of Pipe with Discharge?

Dynamic Viscosity given Pressure Drop over Length of Pipe with Discharge calculator uses Dynamic Viscosity = (pi*Pressure Difference*(Diameter of Pipe^4))/(128*Discharge in Pipe*Length of Pipe) to calculate the Dynamic Viscosity, The Dynamic Viscosity given Pressure Drop over Length of Pipe with Discharge is defined as resistance offered by the liquid on the relative motion. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity given Pressure Drop over Length of Pipe with Discharge using this online calculator? To use this online calculator for Dynamic Viscosity given Pressure Drop over Length of Pipe with Discharge, enter Pressure Difference (ΔP), Diameter of Pipe (D_pipe), Discharge in Pipe (Q) & Length of Pipe (L_p) and hit the calculate button. Here is how the Dynamic Viscosity given Pressure Drop over Length of Pipe with Discharge calculation can be explained with given input values -> 2298.622 = (pi*90*(1.01^4))/(128*1.000001*0.1).

FAQ

What is Dynamic Viscosity given Pressure Drop over Length of Pipe with Discharge?

The Dynamic Viscosity given Pressure Drop over Length of Pipe with Discharge is defined as resistance offered by the liquid on the relative motion and is represented as μ = (pi*ΔP*(D_pipe^4))/(128*Q*L_p) or Dynamic Viscosity = (pi*Pressure Difference*(Diameter of Pipe^4))/(128*Discharge in Pipe*Length of Pipe). The Pressure Difference refers to the variation in pressure between two points within a fluid or gas, a critical factor in driving fluid motion, The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing, 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.

How to calculate Dynamic Viscosity given Pressure Drop over Length of Pipe with Discharge?

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