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Diameter of Pipe using Dynamic Viscosity with Time Formula

GoDiameter of Pipe given Dynamic Viscosity with Length 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 = \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})}}}

D_pipe - Diameter of Pipe?μ - Dynamic Viscosity?t_sec - Time in Seconds?γ_f - Specific Weight of Liquid?A - Cross Sectional Area of Pipe?A_R - Average Reservoir Area?L_p - Length of Pipe?h₁ - Height of Column 1?h₂ - Height of Column 2?

Diameter of Pipe using Dynamic Viscosity with Time Example

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Here is how the Diameter of Pipe using Dynamic Viscosity with Time equation looks like with Values.

Here is how the Diameter of Pipe using Dynamic Viscosity with Time equation looks like with Units.

Here is how the Diameter of Pipe using Dynamic Viscosity with Time equation looks like.

1.0047 = \sqrt{\frac{10.2}{\frac{110 \cdot 9.81 \cdot 0.262}{32 \cdot 10 \cdot 0.1 \cdot \ln (\frac{12.01}{5.01})}}}

1.0047m = \sqrt{\frac{10.2P}{\frac{110s \cdot 9.81kN/m³ \cdot 0.262m²}{32 \cdot 10m² \cdot 0.1m \cdot \ln (\frac{12.01cm}{5.01cm})}}}

1.0047 = \sqrt{\frac{10.2}{\frac{110 \cdot 9.81 \cdot 0.262}{32 \cdot 10 \cdot 0.1 \cdot \ln (\frac{12.01}{5.01})}}}

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Home » Engineering » Civil » Hydraulics and Waterworks » Diameter of Pipe using Dynamic Viscosity with Time

Diameter of Pipe using Dynamic Viscosity with Time Solution

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

FIRST Step Consider the formula

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})}}}

Next Step Substitute values of Variables

∴

D pipe = \sqrt{\frac{10.2P}{\frac{110s \cdot 9.81kN/m³ \cdot 0.262m²}{32 \cdot 10m² \cdot 0.1m \cdot \ln (\frac{12.01cm}{5.01cm})}}}

Next Step Convert Units

∴

D pipe = \sqrt{\frac{10.2P}{\frac{110s \cdot 9.81kN/m³ \cdot 0.262m²}{32 \cdot 10m² \cdot 0.1m \cdot \ln (\frac{0.1201m}{0.0501m})}}}

Next Step Prepare to Evaluate

∴

D pipe = \sqrt{\frac{10.2}{\frac{110 \cdot 9.81 \cdot 0.262}{32 \cdot 10 \cdot 0.1 \cdot \ln (\frac{0.1201}{0.0501})}}}

Next Step Evaluate

∴

D pipe = 1.00467303578887m

LAST Step Rounding Answer

∴

D pipe = 1.0047m

Diameter of Pipe using Dynamic Viscosity with Time Formula Elements

Variables

Functions

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.

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.

Time in Seconds

The Time in Seconds refers to the ongoing and continuous sequence of events that occur in succession, from the past through the present and into the future.

Symbol: t_sec

Measurement: TimeUnit: s

Note: Value should be greater than 0.

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.

Cross Sectional Area of Pipe

The Cross Sectional Area of Pipe refers to the area of the pipe through which the given liquid is flowing.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Average Reservoir Area

The Average Reservoir Area refers to the month is defined as the total area of the reservoir created using a dam to store fresh water.

Symbol: A_R

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

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.

Height of Column 1

The Height of Column 1 refers to the length of the column1 measured from bottom to Top.

Symbol: h₁

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Height of Column 2

The Height of Column 2 refers to the length of the column 2 measured from bottom to Top.

Symbol: h₂

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Formula and 1300+ more formulas!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Formula and 900+ more formulas!

Other Formulas to find Diameter of Pipe

Go Diameter of Pipe given Dynamic Viscosity with Length

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

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})}}

How to Evaluate Diameter of Pipe using Dynamic Viscosity with Time?

Diameter of Pipe using Dynamic Viscosity with Time evaluator uses 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)))) to evaluate the Diameter of Pipe, The Diameter of Pipe using Dynamic Viscosity with Time formula is defined as the width of pipe used in measuring the flow or viscosity. Diameter of Pipe is denoted by D_pipe symbol.

How to evaluate Diameter of Pipe using Dynamic Viscosity with Time using this online evaluator? To use this online evaluator for Diameter of Pipe using Dynamic Viscosity with Time, enter Dynamic Viscosity (μ), Time in Seconds (t_sec), Specific Weight of Liquid (γ_f), Cross Sectional Area of Pipe (A), Average Reservoir Area (A_R), Length of Pipe (L_p), Height of Column 1 (h₁) & Height of Column 2 (h₂) and hit the calculate button.

FAQs on Diameter of Pipe using Dynamic Viscosity with Time

What is the formula to find Diameter of Pipe using Dynamic Viscosity with Time?

The formula of Diameter of Pipe using Dynamic Viscosity with Time is expressed as 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)))). Here is an example- 0.003636 = sqrt(1.02/((110*9810*0.262)/(32*10*0.1*ln(0.1201/0.0501)))).

How to calculate Diameter of Pipe using Dynamic Viscosity with Time?

With Dynamic Viscosity (μ), Time in Seconds (t_sec), Specific Weight of Liquid (γ_f), Cross Sectional Area of Pipe (A), Average Reservoir Area (A_R), Length of Pipe (L_p), Height of Column 1 (h₁) & Height of Column 2 (h₂) we can find Diameter of Pipe using Dynamic Viscosity with Time using the formula - 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)))). This formula also uses Natural Logarithm (ln), Square Root (sqrt) function(s).

What are the other ways to Calculate Diameter of Pipe?

Here are the different ways to Calculate Diameter of Pipe-

Diameter of Pipe=(Discharge in Laminar Flow/((pi*Specific Weight of Liquid*Head of the Liquid))/(128*Length of Pipe*Dynamic Viscosity))^(1/4)
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 using Dynamic Viscosity with Time be negative?

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

Which unit is used to measure Diameter of Pipe using Dynamic Viscosity with Time?

Diameter of Pipe using Dynamic Viscosity with Time 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 using Dynamic Viscosity with Time can be measured.

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: Unit

Diameter of Pipe using Dynamic Viscosity with Time Formula

​GoDiameter of Pipe given Dynamic Viscosity with Length Formula

​GoDiameter of Pipe given Kinematic Viscosity Formula

Diameter of Pipe using Dynamic Viscosity with Time Example

Diameter of Pipe using Dynamic Viscosity with Time Solution

Diameter of Pipe using Dynamic Viscosity with Time Formula Elements

Credits

Other Formulas to find Diameter of Pipe

Other formulas in Capillary Tube Viscometer category

How to Evaluate Diameter of Pipe using Dynamic Viscosity with Time?

FAQs on Diameter of Pipe using Dynamic Viscosity with Time

Variable Name

GoDiameter of Pipe given Dynamic Viscosity with Length Formula

GoDiameter of Pipe given Kinematic Viscosity Formula