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Discharge given Viscosity Formula

GoDischarge given Mean Velocity of Flow Formula

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

Q = dp|dr \cdot \frac{w^{3}}{12 \cdot μ}

Q - Discharge in Laminar Flow?dp|dr - Pressure Gradient?w - Width?μ - Dynamic Viscosity?

Discharge given Viscosity Example

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Here is how the Discharge given Viscosity equation looks like with Values.

Here is how the Discharge given Viscosity equation looks like with Units.

Here is how the Discharge given Viscosity equation looks like.

37.5 = 17 \cdot \frac{3^{3}}{12 \cdot 10.2}

37.5m³/s = 17N/m³ \cdot \frac{{3m}^{3}}{12 \cdot 10.2P}

37.5 = 17 \cdot \frac{3^{3}}{12 \cdot 10.2}

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Discharge given Viscosity Solution

Follow our step by step solution on how to calculate Discharge given Viscosity?

FIRST Step Consider the formula

Q = dp|dr \cdot \frac{w^{3}}{12 \cdot μ}

Next Step Substitute values of Variables

∴

Q = 17N/m³ \cdot \frac{{3m}^{3}}{12 \cdot 10.2P}

Next Step Convert Units

∴

Q = 17N/m³ \cdot \frac{{3m}^{3}}{12 \cdot 1.02Pa*s}

Next Step Prepare to Evaluate

∴

Q = 17 \cdot \frac{3^{3}}{12 \cdot 1.02}

LAST Step Evaluate

∴

Q = 37.5m³/s

Discharge given Viscosity Formula Elements

Variables

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

Pressure Gradient

The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.

Symbol: dp|dr

Measurement: Pressure GradientUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Pressure Gradient

Width

Width is the measurement or extent of something from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Width

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

Other Formulas to find Discharge in Laminar Flow

Go Discharge given Mean Velocity of Flow

Q = w \cdot V mean

Other formulas in Laminar Flow between Parallel Plates, both Plates at Rest category

Go Velocity Distribution Profile

v = - (\frac{1}{2 \cdot μ}) \cdot dp|dr \cdot (w \cdot R - (R^{2}))

Go Distance between Plates using Velocity Distribution Profile

w = \frac{(\frac{- v \cdot 2 \cdot μ}{dp|dr}) + (R^{2})}{R}

Go Maximum Velocity between Plates

V max = \frac{(w^{2}) \cdot dp|dr}{8 \cdot μ}

Go Distance between Plates given Maximum Velocity between Plates

w = \sqrt{\frac{8 \cdot μ \cdot V max}{dp|dr}}

How to Evaluate Discharge given Viscosity?

Discharge given Viscosity evaluator uses Discharge in Laminar Flow = Pressure Gradient*(Width^3)/(12*Dynamic Viscosity) to evaluate the Discharge in Laminar Flow, The Discharge given Viscosity is given is defined as the amount of fluid carrying through the between the pipes in the flow stream measured at a section. Discharge in Laminar Flow is denoted by Q symbol.

How to evaluate Discharge given Viscosity using this online evaluator? To use this online evaluator for Discharge given Viscosity, enter Pressure Gradient (dp|dr), Width (w) & Dynamic Viscosity (μ) and hit the calculate button.

FAQs on Discharge given Viscosity

What is the formula to find Discharge given Viscosity?

The formula of Discharge given Viscosity is expressed as Discharge in Laminar Flow = Pressure Gradient*(Width^3)/(12*Dynamic Viscosity). Here is an example- 37.5 = 17*(3^3)/(12*1.02).

How to calculate Discharge given Viscosity?

With Pressure Gradient (dp|dr), Width (w) & Dynamic Viscosity (μ) we can find Discharge given Viscosity using the formula - Discharge in Laminar Flow = Pressure Gradient*(Width^3)/(12*Dynamic Viscosity).

What are the other ways to Calculate Discharge in Laminar Flow?

Here are the different ways to Calculate Discharge in Laminar Flow-

Discharge in Laminar Flow=Width*Mean Velocity

Can the Discharge given Viscosity be negative?

Yes, the Discharge given Viscosity, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge given Viscosity?

Discharge given Viscosity 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 Discharge given Viscosity can be measured.

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