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Rate of Flow given Head loss in Laminar Flow Formula

GoRate of Flow Formula

GoRate of Flow given Hydraulic Transmission Power Formula

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

Q f = h l \cdot γ f \cdot π \cdot \frac{{d p}^{4}}{128 \cdot μ \cdot L p}

Q_f - Rate of Flow?h_l - Head Loss of Fluid?γ_f - Specific Weight?d_p - Diameter of Pipe?μ - Viscous Force?L_p - Length of Pipe?π - Archimedes' constant?

Rate of Flow given Head loss in Laminar Flow Example

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Here is how the Rate of Flow given Head loss in Laminar Flow equation looks like with Values.

Here is how the Rate of Flow given Head loss in Laminar Flow equation looks like with Units.

Here is how the Rate of Flow given Head loss in Laminar Flow equation looks like.

23.0932 = 1.195 \cdot 108.2 \cdot 3.1416 \cdot \frac{{1.01}^{4}}{128 \cdot 1.43 \cdot 0.1}

23.0932m³/s = 1.195m \cdot 108.2N/m³ \cdot 3.1416 \cdot \frac{{1.01m}^{4}}{128 \cdot 1.43N \cdot 0.1m}

23.0932 = 1.195 \cdot 108.2 \cdot 3.1416 \cdot \frac{{1.01}^{4}}{128 \cdot 1.43 \cdot 0.1}

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Rate of Flow given Head loss in Laminar Flow Solution

Follow our step by step solution on how to calculate Rate of Flow given Head loss in Laminar Flow?

FIRST Step Consider the formula

Q f = h l \cdot γ f \cdot π \cdot \frac{{d p}^{4}}{128 \cdot μ \cdot L p}

Next Step Substitute values of Variables

∴

Q f = 1.195m \cdot 108.2N/m³ \cdot π \cdot \frac{{1.01m}^{4}}{128 \cdot 1.43N \cdot 0.1m}

Next Step Substitute values of Constants

∴

Q f = 1.195m \cdot 108.2N/m³ \cdot 3.1416 \cdot \frac{{1.01m}^{4}}{128 \cdot 1.43N \cdot 0.1m}

Next Step Prepare to Evaluate

∴

Q f = 1.195 \cdot 108.2 \cdot 3.1416 \cdot \frac{{1.01}^{4}}{128 \cdot 1.43 \cdot 0.1}

Next Step Evaluate

∴

Q f = 23.0932217991411m³/s

LAST Step Rounding Answer

∴

Q f = 23.0932m³/s

Rate of Flow given Head loss in Laminar Flow Formula Elements

Variables

Constants

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_f

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Rate of Flow

Head Loss of Fluid

Head Loss of Fluid 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_l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head Loss of Fluid

Specific Weight

Specific Weight is defined as weight per unit volume. It is the specific weight of the liquid for which the calculation is being done.

Symbol: γ_f

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight

Diameter of Pipe

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

Symbol: d_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

Viscous Force

Viscous Force 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

Length of Pipe

Length of Pipe describes the length of the pipe in which the liquid is flowing.

Symbol: L_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Pipe

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 Rate of Flow

Go Rate of Flow

Q f = A \cdot V avg

Go Rate of Flow given Hydraulic Transmission Power

Q f = \frac{P}{γ l \cdot (H e - h l)}

Other formulas in Flow Rate category

Go Volumetric Flow Rate at Vena Contracta

V f = C d \cdot A vc \cdot \sqrt{2 \cdot [g] \cdot H w}

Go Volumetric Flow Rate of Circular Orifice

V f = 0.62 \cdot a \cdot \sqrt{2 \cdot [g] \cdot H w}

Go Volumetric Flow Rate of Rectangular Notch

V f = 0.62 \cdot b \cdot H \cdot \frac{2}{3} \cdot \sqrt{2 \cdot [g] \cdot H w}

Go Volumetric Flow Rate of Triangular Right Angled Notch

V f = 2.635 \cdot H^{\frac{5}{2}}

How to Evaluate Rate of Flow given Head loss in Laminar Flow?

Rate of Flow given Head loss in Laminar Flow evaluator uses Rate of Flow = Head Loss of Fluid*Specific Weight*pi*(Diameter of Pipe^4)/(128*Viscous Force*Length of Pipe) to evaluate the Rate of Flow, The Rate of Flow given Head loss in Laminar Flow formula is defined as the movement of volume per time. Volumetric flow rate, the volume of a fluid that passes through a given surface per unit of time. Rate of Flow is denoted by Q_f symbol.

How to evaluate Rate of Flow given Head loss in Laminar Flow using this online evaluator? To use this online evaluator for Rate of Flow given Head loss in Laminar Flow, enter Head Loss of Fluid (h_l), Specific Weight (γ_f), Diameter of Pipe (d_p), Viscous Force (μ) & Length of Pipe (L_p) and hit the calculate button.

FAQs on Rate of Flow given Head loss in Laminar Flow

What is the formula to find Rate of Flow given Head loss in Laminar Flow?

The formula of Rate of Flow given Head loss in Laminar Flow is expressed as Rate of Flow = Head Loss of Fluid*Specific Weight*pi*(Diameter of Pipe^4)/(128*Viscous Force*Length of Pipe). Here is an example- 23.09322 = 1.195*108.2*pi*(1.01^4)/(128*1.43*0.1).

How to calculate Rate of Flow given Head loss in Laminar Flow?

With Head Loss of Fluid (h_l), Specific Weight (γ_f), Diameter of Pipe (d_p), Viscous Force (μ) & Length of Pipe (L_p) we can find Rate of Flow given Head loss in Laminar Flow using the formula - Rate of Flow = Head Loss of Fluid*Specific Weight*pi*(Diameter of Pipe^4)/(128*Viscous Force*Length of Pipe). This formula also uses Archimedes' constant .

What are the other ways to Calculate Rate of Flow?

Here are the different ways to Calculate Rate of Flow-

Rate of Flow=Cross Sectional Area*Average Velocity
Rate of Flow=Power/(Specific Weight of Liquid*(Total Head at Entrance-Head Loss of Fluid))

Can the Rate of Flow given Head loss in Laminar Flow be negative?

No, the Rate of Flow given Head loss in Laminar Flow, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Rate of Flow given Head loss in Laminar Flow?

Rate of Flow given Head loss in Laminar Flow is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Rate of Flow given Head loss in Laminar Flow can be measured.

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Rate of Flow given Head loss in Laminar Flow Formula

​GoRate of Flow Formula

​GoRate of Flow given Hydraulic Transmission Power Formula

Rate of Flow given Head loss in Laminar Flow Example

Rate of Flow given Head loss in Laminar Flow Solution

Rate of Flow given Head loss in Laminar Flow Formula Elements

Other Formulas to find Rate of Flow

Other formulas in Flow Rate category

How to Evaluate Rate of Flow given Head loss in Laminar Flow?

FAQs on Rate of Flow given Head loss in Laminar Flow

Variable Name

GoRate of Flow Formula

GoRate of Flow given Hydraulic Transmission Power Formula