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Diameter of Pipe given Head Loss due to Laminar Flow Formula

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Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing. Check FAQs

D pipe = {(\frac{128 \cdot μ \cdot Q \cdot s}{y \cdot π \cdot h f})}^{\frac{1}{4}}

D_pipe - Diameter of Pipe?μ - Viscous Force head loss?Q - Rate of Flow?s - Change in Drawdown?y - Specific Weight of Liquid?h_f - Head loss?π - Archimedes' constant?

Diameter of Pipe given Head Loss due to Laminar Flow Example

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Here is how the Diameter of Pipe given Head Loss due to Laminar Flow equation looks like with Values.

Here is how the Diameter of Pipe given Head Loss due to Laminar Flow equation looks like with Units.

Here is how the Diameter of Pipe given Head Loss due to Laminar Flow equation looks like.

2.6518 = {(\frac{128 \cdot 94.2 \cdot 13.5 \cdot 0.1}{87.32 \cdot 3.1416 \cdot 1.2})}^{\frac{1}{4}}

2.6518m = {(\frac{128 \cdot 94.2N \cdot 13.5m³/s \cdot 0.1m}{87.32N/m³ \cdot 3.1416 \cdot 1.2m})}^{\frac{1}{4}}

2.6518 = {(\frac{128 \cdot 94.2 \cdot 13.5 \cdot 0.1}{87.32 \cdot 3.1416 \cdot 1.2})}^{\frac{1}{4}}

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Diameter of Pipe given Head Loss due to Laminar Flow Solution

Follow our step by step solution on how to calculate Diameter of Pipe given Head Loss due to Laminar Flow?

FIRST Step Consider the formula

D pipe = {(\frac{128 \cdot μ \cdot Q \cdot s}{y \cdot π \cdot h f})}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

D pipe = {(\frac{128 \cdot 94.2N \cdot 13.5m³/s \cdot 0.1m}{87.32N/m³ \cdot π \cdot 1.2m})}^{\frac{1}{4}}

Next Step Substitute values of Constants

∴

D pipe = {(\frac{128 \cdot 94.2N \cdot 13.5m³/s \cdot 0.1m}{87.32N/m³ \cdot 3.1416 \cdot 1.2m})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

D pipe = {(\frac{128 \cdot 94.2 \cdot 13.5 \cdot 0.1}{87.32 \cdot 3.1416 \cdot 1.2})}^{\frac{1}{4}}

Next Step Evaluate

∴

D pipe = 2.65177974352957m

LAST Step Rounding Answer

∴

D pipe = 2.6518m

Diameter of Pipe given Head Loss due to Laminar Flow Formula Elements

Variables

Constants

Diameter of Pipe

Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.

Symbol: D_pipe

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Diameter of Pipe

Viscous Force head loss

Viscous Force head loss is the force between a body and a fluid (liquid or gas) moving past it, in a direction so as to oppose the flow of the fluid past the object.

Symbol: μ

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Viscous Force head loss

Rate of Flow

Rate of flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Rate of Flow

Change in Drawdown

Change in Drawdown in the Aquifer is a term applied to the maximum lowering of the groundwater table caused by pumping or artesian flow.

Symbol: s

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Change in Drawdown

Specific Weight of Liquid

The Specific weight of liquid is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3.

Symbol: y

Measurement: Specific WeightUnit: N/m³

Note: Value can be positive or negative.

Formulas to find Specific Weight of Liquid

Head loss

Head loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.

Symbol: h_f

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head loss

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 in Pipes category

Go Viscous Stress

VS = μ viscosity \cdot \frac{VG}{DL}

Go Viscous Force Per Unit Area

Fviscous = \frac{F viscous}{A}

Go Viscous Force using Head loss Due to Laminar Flow

μ = h f \cdot γ \cdot π \cdot \frac{{d pipe}^{4}}{128 \cdot Q \cdot s}

Go Length of Pipe given Head loss

s = h f \cdot γ \cdot π \cdot \frac{{d pipe}^{4}}{128 \cdot Q \cdot μ}

How to Evaluate Diameter of Pipe given Head Loss due to Laminar Flow?

Diameter of Pipe given Head Loss due to Laminar Flow evaluator uses Diameter of Pipe = ((128*Viscous Force head loss*Rate of Flow*Change in Drawdown)/(Specific Weight of Liquid*pi*Head loss))^(1/4) to evaluate the Diameter of Pipe, Diameter of Pipe given Head Loss due to Laminar Flow formula is defined as a method to determine the necessary pipe diameter based on the fluid's viscosity, flow rate, and the head loss experienced due to laminar flow conditions. It helps ensure efficient fluid transport in piping systems. Diameter of Pipe is denoted by D_pipe symbol.

How to evaluate Diameter of Pipe given Head Loss due to Laminar Flow using this online evaluator? To use this online evaluator for Diameter of Pipe given Head Loss due to Laminar Flow, enter Viscous Force head loss (μ), Rate of Flow (Q), Change in Drawdown (s), Specific Weight of Liquid (y) & Head loss (h_f) and hit the calculate button.

FAQs on Diameter of Pipe given Head Loss due to Laminar Flow

What is the formula to find Diameter of Pipe given Head Loss due to Laminar Flow?

The formula of Diameter of Pipe given Head Loss due to Laminar Flow is expressed as Diameter of Pipe = ((128*Viscous Force head loss*Rate of Flow*Change in Drawdown)/(Specific Weight of Liquid*pi*Head loss))^(1/4). Here is an example- 2.65178 = ((128*94.2*13.5*0.1)/(87.32*pi*1.2))^(1/4).

How to calculate Diameter of Pipe given Head Loss due to Laminar Flow?

With Viscous Force head loss (μ), Rate of Flow (Q), Change in Drawdown (s), Specific Weight of Liquid (y) & Head loss (h_f) we can find Diameter of Pipe given Head Loss due to Laminar Flow using the formula - Diameter of Pipe = ((128*Viscous Force head loss*Rate of Flow*Change in Drawdown)/(Specific Weight of Liquid*pi*Head loss))^(1/4). This formula also uses Archimedes' constant .

Can the Diameter of Pipe given Head Loss due to Laminar Flow be negative?

Yes, the Diameter of Pipe given Head Loss due to Laminar Flow, measured in Length can be negative.

Which unit is used to measure Diameter of Pipe given Head Loss due to Laminar Flow?

Diameter of Pipe given Head Loss due to Laminar Flow 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 Head Loss due to Laminar Flow can be measured.

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Diameter of Pipe given Head Loss due to Laminar Flow Formula

Diameter of Pipe given Head Loss due to Laminar Flow Example

Diameter of Pipe given Head Loss due to Laminar Flow Solution

Diameter of Pipe given Head Loss due to Laminar Flow Formula Elements

Other formulas in Pipes category

How to Evaluate Diameter of Pipe given Head Loss due to Laminar Flow?

FAQs on Diameter of Pipe given Head Loss due to Laminar Flow

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