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Diameter of Pipe given Head Loss due to Laminar Flow Formula

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The Diameter of Pipe is the distance across the circular cross-section of a pipe, crucial for determining flow capacity and pressure in fluid mechanics. 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.

1.0249 = {(\frac{128 \cdot 94.1867 \cdot 13.5 \cdot 0.0022}{87.32 \cdot 3.1416 \cdot 1.2})}^{\frac{1}{4}}

1.0249m = {(\frac{128 \cdot 94.1867N \cdot 13.5m³/s \cdot 0.0022m}{87.32N/m³ \cdot 3.1416 \cdot 1.2m})}^{\frac{1}{4}}

1.0249 = {(\frac{128 \cdot 94.1867 \cdot 13.5 \cdot 0.0022}{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 94.1867N \cdot 13.5m³/s \cdot 0.0022m}{87.32N/m³ \cdot π \cdot 1.2m})}^{\frac{1}{4}}

Next Step Substitute values of Constants

∴

D pipe = {(\frac{128 \cdot 94.1867N \cdot 13.5m³/s \cdot 0.0022m}{87.32N/m³ \cdot 3.1416 \cdot 1.2m})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

D pipe = {(\frac{128 \cdot 94.1867 \cdot 13.5 \cdot 0.0022}{87.32 \cdot 3.1416 \cdot 1.2})}^{\frac{1}{4}}

Next Step Evaluate

∴

D pipe = 1.02493350149304m

LAST Step Rounding Answer

∴

D pipe = 1.0249m

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

Variables

Constants

Diameter of Pipe

The Diameter of Pipe is the distance across the circular cross-section of a pipe, crucial for determining flow capacity and pressure in fluid mechanics.

Symbol: D_pipe

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Diameter of Pipe

Viscous Force head loss

The Viscous Force head loss is the energy loss due to friction as fluid flows through a pipe, affecting flow rate and pressure within the system.

Symbol: μ

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Viscous Force head loss

Rate of Flow

The Rate of Flow is the volume of fluid that passes through a pipe per unit of time, indicating the efficiency of fluid transport in mechanical systems.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Rate of Flow

Change in Drawdown

The Change in Drawdown is the difference in water level or pressure in a fluid system, indicating how much water is being removed or added over time.

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 the weight per unit volume of a liquid, influencing fluid behavior in pipes and various engineering applications.

Symbol: y

Measurement: Specific WeightUnit: N/m³

Note: Value can be positive or negative.

Formulas to find Specific Weight of Liquid

Head loss

The Head loss is the reduction in total mechanical energy of a fluid as it flows through a pipe, often due to friction and other resistive forces.

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

V s = μ viscosity \cdot \frac{VG}{DL}

Go Viscous Force Per Unit Area

F v = \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- 1.426276 = ((128*94.18672*13.5*0.002232)/(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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