FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Pressure Gradient given Discharge through Pipe Formula

GoPressure Gradient given Shear Stress at any Cylindrical Element Formula

GoPressure Gradient given Maximum Shear Stress at Cylindrical Element Formula

Fx Copy

LaTeX Copy

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{Q}{(\frac{π}{8 \cdot μ}) \cdot (R^{4})}

dp|dr - Pressure Gradient?Q - Discharge in Pipe?μ - Dynamic Viscosity?R - Radius of pipe?π - Archimedes' constant?

Pressure Gradient given Discharge through Pipe Example

With values

With units

Only example

Here is how the Pressure Gradient given Discharge through Pipe equation looks like with Values.

Here is how the Pressure Gradient given Discharge through Pipe equation looks like with Units.

Here is how the Pressure Gradient given Discharge through Pipe equation looks like.

7161.836 = \frac{1}{(\frac{3.1416}{8 \cdot 10.2}) \cdot (138^{4})}

7161.836N/m³ = \frac{1m³/s}{(\frac{3.1416}{8 \cdot 10.2P}) \cdot ({138mm}^{4})}

7161.836 = \frac{1}{(\frac{3.1416}{8 \cdot 10.2}) \cdot (138^{4})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Hydraulics and Waterworks » fx Pressure Gradient given Discharge through Pipe

Pressure Gradient given Discharge through Pipe Solution

Follow our step by step solution on how to calculate Pressure Gradient given Discharge through Pipe?

FIRST Step Consider the formula

dp|dr = \frac{Q}{(\frac{π}{8 \cdot μ}) \cdot (R^{4})}

Next Step Substitute values of Variables

∴

dp|dr = \frac{1m³/s}{(\frac{π}{8 \cdot 10.2P}) \cdot ({138mm}^{4})}

Next Step Substitute values of Constants

∴

dp|dr = \frac{1m³/s}{(\frac{3.1416}{8 \cdot 10.2P}) \cdot ({138mm}^{4})}

Next Step Convert Units

∴

dp|dr = \frac{1m³/s}{(\frac{3.1416}{8 \cdot 1.02Pa*s}) \cdot ({0.138m}^{4})}

Next Step Prepare to Evaluate

∴

dp|dr = \frac{1}{(\frac{3.1416}{8 \cdot 1.02}) \cdot ({0.138}^{4})}

Next Step Evaluate

∴

dp|dr = 7161.8360484234N/m³

LAST Step Rounding Answer

∴

dp|dr = 7161.836N/m³

Pressure Gradient given Discharge through Pipe Formula Elements

Variables

Constants

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

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

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

Radius of pipe

The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius 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 Pressure Gradient

Go Pressure Gradient given Shear Stress at any Cylindrical Element

dp|dr = 2 \cdot \frac{𝜏}{d radial}

Go Pressure Gradient given Maximum Shear Stress at Cylindrical Element

dp|dr = \frac{2 \cdot 𝜏 max}{R}

Go Pressure Gradient given Velocity Gradient at Cylindrical Element

dp|dr = 2 \cdot μ \cdot \frac{V G}{d radial}

Go Pressure Gradient given Maximum Velocity at Axis of Cylindrical Element

dp|dr = \frac{4 \cdot μ}{R^{2}}

Other formulas in Pressure Gradient category

Go Pressure Gradient given Velocity at any point in Cylindrical Element

dp|dr = \frac{v Fluid}{(\frac{1}{4 \cdot μ}) \cdot ((R^{2}) - ({d radial}^{2}))}

How to Evaluate Pressure Gradient given Discharge through Pipe?

Pressure Gradient given Discharge through Pipe evaluator uses Pressure Gradient = Discharge in Pipe/((pi/(8*Dynamic Viscosity))*(Radius of pipe^4)) to evaluate the Pressure Gradient, The Pressure Gradient given Discharge through Pipe is defined as the variation of pressure with respect to the length of the pipe. Pressure Gradient is denoted by dp|dr symbol.

How to evaluate Pressure Gradient given Discharge through Pipe using this online evaluator? To use this online evaluator for Pressure Gradient given Discharge through Pipe, enter Discharge in Pipe (Q), Dynamic Viscosity (μ) & Radius of pipe (R) and hit the calculate button.

FAQs on Pressure Gradient given Discharge through Pipe

What is the formula to find Pressure Gradient given Discharge through Pipe?

The formula of Pressure Gradient given Discharge through Pipe is expressed as Pressure Gradient = Discharge in Pipe/((pi/(8*Dynamic Viscosity))*(Radius of pipe^4)). Here is an example- 7161.836 = 1.000001/((pi/(8*1.02))*(0.138^4)).

How to calculate Pressure Gradient given Discharge through Pipe?

With Discharge in Pipe (Q), Dynamic Viscosity (μ) & Radius of pipe (R) we can find Pressure Gradient given Discharge through Pipe using the formula - Pressure Gradient = Discharge in Pipe/((pi/(8*Dynamic Viscosity))*(Radius of pipe^4)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Pressure Gradient?

Here are the different ways to Calculate Pressure Gradient-

Pressure Gradient=2*Shear Stress/Radial Distance
Pressure Gradient=(2*Maximum Shear Stress on Shaft)/Radius of pipe
Pressure Gradient=2*Dynamic Viscosity*Velocity Gradient/Radial Distance

Can the Pressure Gradient given Discharge through Pipe be negative?

No, the Pressure Gradient given Discharge through Pipe, measured in Pressure Gradient cannot be negative.

Which unit is used to measure Pressure Gradient given Discharge through Pipe?

Pressure Gradient given Discharge through Pipe 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 Discharge through Pipe can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Pressure Gradient given Discharge through Pipe Formula

​GoPressure Gradient given Shear Stress at any Cylindrical Element Formula

​GoPressure Gradient given Maximum Shear Stress at Cylindrical Element Formula

Pressure Gradient given Discharge through Pipe Example

Pressure Gradient given Discharge through Pipe Solution

Pressure Gradient given Discharge through Pipe Formula Elements

Other Formulas to find Pressure Gradient

Other formulas in Pressure Gradient category

How to Evaluate Pressure Gradient given Discharge through Pipe?

FAQs on Pressure Gradient given Discharge through Pipe

Variable Name

GoPressure Gradient given Shear Stress at any Cylindrical Element Formula

GoPressure Gradient given Maximum Shear Stress at Cylindrical Element Formula