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Diameter of Pipe given Dynamic Viscosity with Length Formula

GoDiameter of Pipe using Dynamic Viscosity with Time Formula

GoDiameter of Pipe given Kinematic Viscosity Formula

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The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing. Check FAQs

D pipe = {(\frac{Q}{(π \cdot γ f \cdot H)} / (128 \cdot L p \cdot μ))}^{\frac{1}{4}}

D_pipe - Diameter of Pipe?Q - Discharge in Laminar Flow?γ_f - Specific Weight of Liquid?H - Head of the Liquid?L_p - Length of Pipe?μ - Dynamic Viscosity?π - Archimedes' constant?

Diameter of Pipe given Dynamic Viscosity with Length Example

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Here is how the Diameter of Pipe given Dynamic Viscosity with Length equation looks like with Values.

Here is how the Diameter of Pipe given Dynamic Viscosity with Length equation looks like with Units.

Here is how the Diameter of Pipe given Dynamic Viscosity with Length equation looks like.

0.0196 = {(\frac{55}{(3.1416 \cdot 9.81 \cdot 926.7)} / (128 \cdot 0.1 \cdot 10.2))}^{\frac{1}{4}}

0.0196m = {(\frac{55m³/s}{(3.1416 \cdot 9.81kN/m³ \cdot 926.7m)} / (128 \cdot 0.1m \cdot 10.2P))}^{\frac{1}{4}}

0.0196 = {(\frac{55}{(3.1416 \cdot 9.81 \cdot 926.7)} / (128 \cdot 0.1 \cdot 10.2))}^{\frac{1}{4}}

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Diameter of Pipe given Dynamic Viscosity with Length Solution

Follow our step by step solution on how to calculate Diameter of Pipe given Dynamic Viscosity with Length?

FIRST Step Consider the formula

D pipe = {(\frac{Q}{(π \cdot γ f \cdot H)} / (128 \cdot L p \cdot μ))}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

D pipe = {(\frac{55m³/s}{(π \cdot 9.81kN/m³ \cdot 926.7m)} / (128 \cdot 0.1m \cdot 10.2P))}^{\frac{1}{4}}

Next Step Substitute values of Constants

∴

D pipe = {(\frac{55m³/s}{(3.1416 \cdot 9.81kN/m³ \cdot 926.7m)} / (128 \cdot 0.1m \cdot 10.2P))}^{\frac{1}{4}}

Next Step Convert Units

∴

D pipe = {(\frac{55m³/s}{(3.1416 \cdot 9810N/m³ \cdot 926.7m)} / (128 \cdot 0.1m \cdot 1.02Pa*s))}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

D pipe = {(\frac{55}{(3.1416 \cdot 9810 \cdot 926.7)} / (128 \cdot 0.1 \cdot 1.02))}^{\frac{1}{4}}

Next Step Evaluate

∴

D pipe = 0.0195974076353132m

LAST Step Rounding Answer

∴

D pipe = 0.0196m

Diameter of Pipe given Dynamic Viscosity with Length Formula Elements

Variables

Constants

Diameter of Pipe

The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.

Symbol: D_pipe

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

Discharge in Laminar Flow

The Discharge in Laminar Flow refers to the fluid flowing per second through a channel or section of a pipe.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge in Laminar Flow

Specific Weight of Liquid

The Specific Weight of Liquid refers to the weight per unit volume of that substance.

Symbol: γ_f

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight of Liquid

Head of the Liquid

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.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head of the Liquid

Length of Pipe

The Length of Pipe refers to total length from one end to another in which the liquid is flowing.

Symbol: L_p

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Pipe

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.

Formulas to find Dynamic Viscosity

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 Diameter of Pipe

Go Diameter of Pipe using Dynamic Viscosity with Time

D pipe = \sqrt{\frac{μ}{\frac{t sec \cdot γ f \cdot A}{32 \cdot A R \cdot L p \cdot \ln (\frac{h 1}{h 2})}}}

Go Diameter of Pipe given Kinematic Viscosity

D pipe = \frac{{((\frac{υ}{([g] \cdot H t \cdot π \cdot t sec)} / (128 \cdot L p \cdot V T)))}^{1}}{4}

Other formulas in Capillary Tube Viscometer category

Go Dynamic Viscosity of Fluids in Flow

μ = (\frac{t sec \cdot A \cdot γ f \cdot D pipe}{32 \cdot A R \cdot L p \cdot \ln (\frac{h 1}{h 2})})

Go Cross-Sectional Area of Tube using Dynamic Viscosity

A = \frac{μ}{\frac{t sec \cdot γ f \cdot D pipe}{32 \cdot A R \cdot L p \cdot \ln (\frac{h 1}{h 2})}}

Go Length of Reservoir using Dynamic Viscosity

L p = \frac{t sec \cdot A \cdot γ f \cdot D pipe}{32 \cdot μ \cdot A R \cdot \ln (\frac{h 1}{h 2})}

Go Length of Pipe given Kinematic Viscosity

L p = \frac{[g] \cdot H t \cdot π \cdot t sec \cdot ({d pipe}^{4})}{128 \cdot V T \cdot υ}

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

Diameter of Pipe given Dynamic Viscosity with Length evaluator 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 evaluate 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 evaluate Diameter of Pipe given Dynamic Viscosity with Length using this online evaluator? To use this online evaluator 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.

FAQs on Diameter of Pipe given Dynamic Viscosity with Length

What is the formula to find Diameter of Pipe given Dynamic Viscosity with Length?

The formula of Diameter of Pipe given Dynamic Viscosity with Length is expressed as Diameter of Pipe = (Discharge in Laminar Flow/((pi*Specific Weight of Liquid*Head of the Liquid))/(128*Length of Pipe*Dynamic Viscosity))^(1/4). Here is an example- 0.005535 = (55/((pi*9810*926.7))/(128*0.1*1.02))^(1/4).

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

With Discharge in Laminar Flow (Q), Specific Weight of Liquid (γ_f), Head of the Liquid (H), Length of Pipe (L_p) & Dynamic Viscosity (μ) we can find Diameter of Pipe given Dynamic Viscosity with Length using the formula - Diameter of Pipe = (Discharge in Laminar Flow/((pi*Specific Weight of Liquid*Head of the Liquid))/(128*Length of Pipe*Dynamic Viscosity))^(1/4). This formula also uses Archimedes' constant .

What are the other ways to Calculate Diameter of Pipe?

Here are the different ways to Calculate Diameter of Pipe-

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

Can the Diameter of Pipe given Dynamic Viscosity with Length be negative?

No, the Diameter of Pipe given Dynamic Viscosity with Length, measured in Length cannot be negative.

Which unit is used to measure Diameter of Pipe given Dynamic Viscosity with Length?

Diameter of Pipe given Dynamic Viscosity with Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Pipe given Dynamic Viscosity with Length can be measured.

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Diameter of Pipe given Dynamic Viscosity with Length Formula

​GoDiameter of Pipe using Dynamic Viscosity with Time Formula

​GoDiameter of Pipe given Kinematic Viscosity Formula

Diameter of Pipe given Dynamic Viscosity with Length Example

Diameter of Pipe given Dynamic Viscosity with Length Solution

Diameter of Pipe given Dynamic Viscosity with Length Formula Elements

Other Formulas to find Diameter of Pipe

Other formulas in Capillary Tube Viscometer category

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

FAQs on Diameter of Pipe given Dynamic Viscosity with Length

Variable Name

GoDiameter of Pipe using Dynamic Viscosity with Time Formula

GoDiameter of Pipe given Kinematic Viscosity Formula