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Pressure Gradient Formula

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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. Check FAQs

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

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

Pressure Gradient Example

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Here is how the Pressure Gradient equation looks like with Values.

Here is how the Pressure Gradient equation looks like with Units.

Here is how the Pressure Gradient equation looks like.

16.6166 = (12 \cdot \frac{10.2}{{1.81}^{3}}) \cdot (0.5 \cdot 10 \cdot 1.81 - 1)

16.6166N/m³ = (12 \cdot \frac{10.2P}{{1.81m}^{3}}) \cdot (0.5 \cdot 10m/s \cdot 1.81m - 1m³/s)

16.6166 = (12 \cdot \frac{10.2}{{1.81}^{3}}) \cdot (0.5 \cdot 10 \cdot 1.81 - 1)

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Pressure Gradient Solution

Follow our step by step solution on how to calculate Pressure Gradient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

dp|dr = (12 \cdot \frac{10.2P}{{1.81m}^{3}}) \cdot (0.5 \cdot 10m/s \cdot 1.81m - 1m³/s)

Next Step Convert Units

∴

dp|dr = (12 \cdot \frac{1.02Pa*s}{{1.81m}^{3}}) \cdot (0.5 \cdot 10m/s \cdot 1.81m - 1m³/s)

Next Step Prepare to Evaluate

∴

dp|dr = (12 \cdot \frac{1.02}{{1.81}^{3}}) \cdot (0.5 \cdot 10 \cdot 1.81 - 1)

Next Step Evaluate

∴

dp|dr = 16.6165752871837N/m³

LAST Step Rounding Answer

∴

dp|dr = 16.6166N/m³

Pressure Gradient Formula Elements

Variables

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

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

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

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

Other formulas in Lubrication Mechanics Slipper Bearing category

Go Dynamic Viscosity given Pressure Gradient

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

Go Rate of Flow given Pressure Gradient

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

How to Evaluate Pressure Gradient?

Pressure Gradient evaluator uses Pressure Gradient = (12*Dynamic Viscosity/(Height of Channel^3))*(0.5*Mean Velocity*Height of Channel-Discharge in Pipe) to evaluate the Pressure Gradient, The Pressure Gradient formula is defined as the rate at which pressure is changing with respect to change in distance along the pipe length. Pressure Gradient is denoted by dp|dr symbol.

How to evaluate Pressure Gradient using this online evaluator? To use this online evaluator for Pressure Gradient, enter Dynamic Viscosity (μ), Height of Channel (h), Mean Velocity (V_mean) & Discharge in Pipe (Q) and hit the calculate button.

FAQs on Pressure Gradient

What is the formula to find Pressure Gradient?

The formula of Pressure Gradient is expressed as Pressure Gradient = (12*Dynamic Viscosity/(Height of Channel^3))*(0.5*Mean Velocity*Height of Channel-Discharge in Pipe). Here is an example- 16.61658 = (12*1.02/(1.81^3))*(0.5*10*1.81-1.000001).

How to calculate Pressure Gradient?

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

Can the Pressure Gradient be negative?

No, the Pressure Gradient, measured in Pressure Gradient cannot be negative.

Which unit is used to measure Pressure Gradient?

Pressure Gradient is usually measured using the Newton per Cubic Meter[N/m³] for Pressure Gradient. Newton per Cubic Inch[N/m³], Kilonewton per Cubic Kilometer[N/m³], Newton per Cubic Kilometer[N/m³] are the few other units in which Pressure Gradient can be measured.

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Pressure Gradient Formula

Pressure Gradient Example

Pressure Gradient Solution

Pressure Gradient Formula Elements

Other formulas in Lubrication Mechanics Slipper Bearing category

How to Evaluate Pressure Gradient?

FAQs on Pressure Gradient

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