Diameter of Pipe given Dynamic Viscosity with Length Calculator

✖The Discharge in Laminar Flow refers to the fluid flowing per second through a channel or section of a pipe.ⓘ Discharge in Laminar Flow [Q]			+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 Head of the Liquid refers to the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.ⓘ Head of the Liquid [H]			+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 [μ]			+10% -10%

✖The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe given Dynamic Viscosity with Length [D_pipe]

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Diameter of Pipe given Dynamic Viscosity with Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Pipe = (Discharge in Laminar Flow/((pi*Specific Weight of Liquid*Head of the Liquid))/(128*Length of Pipe*Dynamic Viscosity))^(1/4)
D_pipe = (Q/((pi*γ_f*H))/(128*L_p*μ))^(1/4)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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 Laminar Flow - (Measured in Cubic Meter per Second) - The Discharge in Laminar Flow refers to the fluid flowing per second through a channel or section of a pipe.
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.
Head of the Liquid - (Measured in Meter) - The Head of the Liquid refers to the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.
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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

STEP 1: Convert Input(s) to Base Unit

Discharge in Laminar Flow: 55 Cubic Meter per Second --> 55 Cubic Meter per Second No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Head of the Liquid: 926.7 Meter --> 926.7 Meter No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_pipe = (Q/((pi*γ_f*H))/(128*L_p*μ))^(1/4) --> (55/((pi*9810*926.7))/(128*0.1*1.02))^(1/4)

Evaluating ... ...

D_pipe = 0.0195974076353132

STEP 3: Convert Result to Output's Unit

0.0195974076353132 Meter --> No Conversion Required

FINAL ANSWER

0.0195974076353132 ≈ 0.019597 Meter <-- Diameter of Pipe

(Calculation completed in 00.004 seconds)

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< Capillary Tube Viscometer Calculators

Diameter of Pipe using Dynamic Viscosity with Time

LaTeX Go Diameter of Pipe = sqrt(Dynamic Viscosity/((Time in Seconds*Specific Weight of Liquid*Cross Sectional Area of Pipe)/(32*Average Reservoir Area*Length of Pipe*ln(Height of Column 1/Height of Column 2))))

Cross-Sectional Area of Tube using Dynamic Viscosity

LaTeX Go Cross Sectional Area of Pipe = Dynamic Viscosity/((Time in Seconds*Specific Weight of Liquid*Diameter of Pipe)/(32*Average Reservoir Area*Length of Pipe*ln(Height of Column 1/Height of Column 2)))

Dynamic Viscosity of Fluids in Flow

LaTeX Go Dynamic Viscosity = ((Time in Seconds*Cross Sectional Area of Pipe*Specific Weight of Liquid*Diameter of Pipe)/(32*Average Reservoir Area*Length of Pipe*ln(Height of Column 1/Height of Column 2)))

Length of Reservoir using Dynamic Viscosity

LaTeX Go Length of Pipe = (Time in Seconds*Cross Sectional Area of Pipe*Specific Weight of Liquid*Diameter of Pipe)/(32*Dynamic Viscosity*Average Reservoir Area*ln(Height of Column 1/Height of Column 2))

Diameter of Pipe given Dynamic Viscosity with Length Formula

LaTeX Go

Diameter of Pipe = (Discharge in Laminar Flow/((pi*Specific Weight of Liquid*Head of the Liquid))/(128*Length of Pipe*Dynamic Viscosity))^(1/4)
D_pipe = (Q/((pi*γ_f*H))/(128*L_p*μ))^(1/4)

What is Dynamic Viscosity?

Dynamic viscosity is the resistance to movement of one layer of a fluid over another. The unit of dynamic viscosity is Pa s. Usually, it is measured in centipoise.

How to Calculate Diameter of Pipe given Dynamic Viscosity with Length?

Diameter of Pipe given Dynamic Viscosity with Length calculator uses Diameter of Pipe = (Discharge in Laminar Flow/((pi*Specific Weight of Liquid*Head of the Liquid))/(128*Length of Pipe*Dynamic Viscosity))^(1/4) to calculate the Diameter of Pipe, The Diameter of Pipe given Dynamic Viscosity with Length formula is defined as the diameter of a pipe is inversely proportional to dynamic viscosity and directly proportional to length, as described by Poiseuille's law for viscous flow. Diameter of Pipe is denoted by D_pipe symbol.

How to calculate Diameter of Pipe given Dynamic Viscosity with Length using this online calculator? To use this online calculator for Diameter of Pipe given Dynamic Viscosity with Length, enter Discharge in Laminar Flow (Q), Specific Weight of Liquid (γ_f), Head of the Liquid (H), Length of Pipe (L_p) & Dynamic Viscosity (μ) and hit the calculate button. Here is how the Diameter of Pipe given Dynamic Viscosity with Length calculation can be explained with given input values -> 0.005535 = (55/((pi*9810*926.7))/(128*0.1*1.02))^(1/4).

FAQ

What is Diameter of Pipe given Dynamic Viscosity with Length?

The Diameter of Pipe given Dynamic Viscosity with Length formula is defined as the diameter of a pipe is inversely proportional to dynamic viscosity and directly proportional to length, as described by Poiseuille's law for viscous flow and is represented as D_pipe = (Q/((pi*γ_f*H))/(128*L_p*μ))^(1/4) or Diameter of Pipe = (Discharge in Laminar Flow/((pi*Specific Weight of Liquid*Head of the Liquid))/(128*Length of Pipe*Dynamic Viscosity))^(1/4). The Discharge in Laminar Flow refers to the fluid flowing per second through a channel or section of a pipe, The Specific Weight of Liquid refers to the weight per unit volume of that substance, The Head of the Liquid refers to the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container, The Length of Pipe refers to total length from one end to another in which the liquid is flowing & The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

How to calculate Diameter of Pipe given Dynamic Viscosity with Length?

The Diameter of Pipe given Dynamic Viscosity with Length formula is defined as the diameter of a pipe is inversely proportional to dynamic viscosity and directly proportional to length, as described by Poiseuille's law for viscous flow is calculated using Diameter of Pipe = (Discharge in Laminar Flow/((pi*Specific Weight of Liquid*Head of the Liquid))/(128*Length of Pipe*Dynamic Viscosity))^(1/4). To calculate Diameter of Pipe given Dynamic Viscosity with Length, you need Discharge in Laminar Flow (Q), Specific Weight of Liquid (γ_f), Head of the Liquid (H), Length of Pipe (L_p) & Dynamic Viscosity (μ). With our tool, you need to enter the respective value for Discharge in Laminar Flow, Specific Weight of Liquid, Head of the Liquid, Length of Pipe & Dynamic Viscosity 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 Diameter of Pipe?

In this formula, Diameter of Pipe uses Discharge in Laminar Flow, Specific Weight of Liquid, Head of the Liquid, Length of Pipe & Dynamic Viscosity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Diameter of Pipe = sqrt(Dynamic Viscosity/((Time in Seconds*Specific Weight of Liquid*Cross Sectional Area of Pipe)/(32*Average Reservoir Area*Length of Pipe*ln(Height of Column 1/Height of Column 2))))
Diameter of Pipe = ((Kinematic Viscosity/(([g]*Total Head*pi*Time in Seconds))/(128*Length of Pipe*Volume of Liquid)))^1/4

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