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Rate of Flow given Pressure Gradient Formula

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The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time. Check FAQs

Q = 0.5 \cdot V mean \cdot h - (dp|dr \cdot \frac{h^{3}}{12 \cdot μ})

Q - Discharge in Pipe?V_mean - Mean Velocity?h - Height of Channel?dp|dr - Pressure Gradient?μ - Dynamic Viscosity?

Rate of Flow given Pressure Gradient Example

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Here is how the Rate of Flow given Pressure Gradient equation looks like with Values.

Here is how the Rate of Flow given Pressure Gradient equation looks like with Units.

Here is how the Rate of Flow given Pressure Gradient equation looks like.

0.8142 = 0.5 \cdot 10 \cdot 1.81 - (17 \cdot \frac{{1.81}^{3}}{12 \cdot 10.2})

0.8142m³/s = 0.5 \cdot 10m/s \cdot 1.81m - (17N/m³ \cdot \frac{{1.81m}^{3}}{12 \cdot 10.2P})

0.8142 = 0.5 \cdot 10 \cdot 1.81 - (17 \cdot \frac{{1.81}^{3}}{12 \cdot 10.2})

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Rate of Flow given Pressure Gradient Solution

Follow our step by step solution on how to calculate Rate of Flow given Pressure Gradient?

FIRST Step Consider the formula

Q = 0.5 \cdot V mean \cdot h - (dp|dr \cdot \frac{h^{3}}{12 \cdot μ})

Next Step Substitute values of Variables

∴

Q = 0.5 \cdot 10m/s \cdot 1.81m - (17N/m³ \cdot \frac{{1.81m}^{3}}{12 \cdot 10.2P})

Next Step Convert Units

∴

Q = 0.5 \cdot 10m/s \cdot 1.81m - (17N/m³ \cdot \frac{{1.81m}^{3}}{12 \cdot 1.02Pa*s})

Next Step Prepare to Evaluate

∴

Q = 0.5 \cdot 10 \cdot 1.81 - (17 \cdot \frac{{1.81}^{3}}{12 \cdot 1.02})

Next Step Evaluate

∴

Q = 0.814248611111111m³/s

LAST Step Rounding Answer

∴

Q = 0.8142m³/s

Rate of Flow given Pressure Gradient Formula Elements

Variables

Discharge in Pipe

The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge in Pipe

Mean Velocity

The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Height of Channel

The Height of Channel refers to the flow depth or water level within the channel. Height refers to the flow depth or water level within the channel.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Channel

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

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 in Lubrication Mechanics Slipper Bearing category

Go Pressure Gradient

dp|dr = (12 \cdot \frac{μ}{h^{3}}) \cdot (0.5 \cdot V mean \cdot h - Q)

Go Dynamic Viscosity given Pressure Gradient

μ = dp|dr \cdot \frac{h^{3}}{12 \cdot (0.5 \cdot V mean \cdot h - Q)}

How to Evaluate Rate of Flow given Pressure Gradient?

Rate of Flow given Pressure Gradient evaluator uses Discharge in Pipe = 0.5*Mean Velocity*Height of Channel-(Pressure Gradient*(Height of Channel^3)/(12*Dynamic Viscosity)) to evaluate the Discharge in Pipe, The Rate of Flow given Pressure Gradient formula is defined as the flow rate that is directly proportional to the pressure difference and the fourth power of the pipe radius, and inversely proportional to the fluid’s viscosity and the pipe length. Discharge in Pipe is denoted by Q symbol.

How to evaluate Rate of Flow given Pressure Gradient using this online evaluator? To use this online evaluator for Rate of Flow given Pressure Gradient, enter Mean Velocity (V_mean), Height of Channel (h), Pressure Gradient (dp|dr) & Dynamic Viscosity (μ) and hit the calculate button.

FAQs on Rate of Flow given Pressure Gradient

What is the formula to find Rate of Flow given Pressure Gradient?

The formula of Rate of Flow given Pressure Gradient is expressed as Discharge in Pipe = 0.5*Mean Velocity*Height of Channel-(Pressure Gradient*(Height of Channel^3)/(12*Dynamic Viscosity)). Here is an example- 0.814249 = 0.5*10*1.81-(17*(1.81^3)/(12*1.02)).

How to calculate Rate of Flow given Pressure Gradient?

With Mean Velocity (V_mean), Height of Channel (h), Pressure Gradient (dp|dr) & Dynamic Viscosity (μ) we can find Rate of Flow given Pressure Gradient using the formula - Discharge in Pipe = 0.5*Mean Velocity*Height of Channel-(Pressure Gradient*(Height of Channel^3)/(12*Dynamic Viscosity)).

Can the Rate of Flow given Pressure Gradient be negative?

Yes, the Rate of Flow given Pressure Gradient, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Rate of Flow given Pressure Gradient?

Rate of Flow given Pressure Gradient 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 Pressure Gradient can be measured.

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Rate of Flow given Pressure Gradient Formula

Rate of Flow given Pressure Gradient Example

Rate of Flow given Pressure Gradient Solution

Rate of Flow given Pressure Gradient Formula Elements

Other formulas in Lubrication Mechanics Slipper Bearing category

How to Evaluate Rate of Flow given Pressure Gradient?

FAQs on Rate of Flow given Pressure Gradient

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