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Pressure Gradient given Total Required Power 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 = \frac{P}{L p \cdot A \cdot V mean}

dp|dr - Pressure Gradient?P - Power?L_p - Length of Pipe?A - Cross Sectional Area of Pipe?V_mean - Mean Velocity?

Pressure Gradient given Total Required Power Example

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Here is how the Pressure Gradient given Total Required Power equation looks like with Values.

Here is how the Pressure Gradient given Total Required Power equation looks like with Units.

Here is how the Pressure Gradient given Total Required Power equation looks like.

17 = \frac{34.34}{0.1 \cdot 2 \cdot 10.1}

17N/m³ = \frac{34.34W}{0.1m \cdot 2m² \cdot 10.1m/s}

17 = \frac{34.34}{0.1 \cdot 2 \cdot 10.1}

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Pressure Gradient given Total Required Power Solution

Follow our step by step solution on how to calculate Pressure Gradient given Total Required Power?

FIRST Step Consider the formula

dp|dr = \frac{P}{L p \cdot A \cdot V mean}

Next Step Substitute values of Variables

∴

dp|dr = \frac{34.34W}{0.1m \cdot 2m² \cdot 10.1m/s}

Next Step Prepare to Evaluate

∴

dp|dr = \frac{34.34}{0.1 \cdot 2 \cdot 10.1}

LAST Step Evaluate

∴

dp|dr = 17N/m³

Pressure Gradient given Total Required Power 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

Power

The Power refers to the rate at which energy is transferred or converted by the hydraulic system.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power

Length of Pipe

The Length of Pipe refers to total length from one end to another in which the liquid is flowing.

Symbol: L_p

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Pipe

Cross Sectional Area of Pipe

The Cross sectional Area of Pipe refers to the area of the pipe through which the given liquid is flowing.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Cross Sectional Area of Pipe

Mean Velocity

The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Other formulas in Darcy Weisbach Equation category

Go Length of Pipe given Head Loss due to Frictional Resistance

L p = \frac{h \cdot 2 \cdot [g] \cdot D pipe}{f \cdot V mean \cdot 2}

Go Head Loss due to Frictional Resistance

h = f \cdot L p \cdot \frac{{V mean}^{2}}{2 \cdot [g] \cdot D pipe}

Go Diameter of Pipe given Head Loss due to Frictional Resistance

D pipe = f \cdot L p \cdot \frac{{V mean}^{2}}{2 \cdot [g] \cdot h}

Go Dynamic Viscosity given Friction Factor

μ = \frac{f \cdot V mean \cdot D pipe \cdot ρ Fluid}{64}

How to Evaluate Pressure Gradient given Total Required Power?

Pressure Gradient given Total Required Power evaluator uses Pressure Gradient = Power/(Length of Pipe*Cross Sectional Area of Pipe*Mean Velocity) to evaluate the Pressure Gradient, The Pressure Gradient given Total Required Power formula formula is defined as the rate at which pressure varies with radial horizontal distance. Pressure Gradient is denoted by dp|dr symbol.

How to evaluate Pressure Gradient given Total Required Power using this online evaluator? To use this online evaluator for Pressure Gradient given Total Required Power, enter Power (P), Length of Pipe (L_p), Cross Sectional Area of Pipe (A) & Mean Velocity (V_mean) and hit the calculate button.

FAQs on Pressure Gradient given Total Required Power

What is the formula to find Pressure Gradient given Total Required Power?

The formula of Pressure Gradient given Total Required Power is expressed as Pressure Gradient = Power/(Length of Pipe*Cross Sectional Area of Pipe*Mean Velocity). Here is an example- 17 = 34.34/(0.1*2*10.1).

How to calculate Pressure Gradient given Total Required Power?

With Power (P), Length of Pipe (L_p), Cross Sectional Area of Pipe (A) & Mean Velocity (V_mean) we can find Pressure Gradient given Total Required Power using the formula - Pressure Gradient = Power/(Length of Pipe*Cross Sectional Area of Pipe*Mean Velocity).

Can the Pressure Gradient given Total Required Power be negative?

No, the Pressure Gradient given Total Required Power, measured in Pressure Gradient cannot be negative.

Which unit is used to measure Pressure Gradient given Total Required Power?

Pressure Gradient given Total Required Power 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 given Total Required Power can be measured.

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Pressure Gradient given Total Required Power Formula

Pressure Gradient given Total Required Power Example

Pressure Gradient given Total Required Power Solution

Pressure Gradient given Total Required Power Formula Elements

Other formulas in Darcy Weisbach Equation category

How to Evaluate Pressure Gradient given Total Required Power?

FAQs on Pressure Gradient given Total Required Power

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