Pressure Gradient given Discharge through Pipe Calculator

✖The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.ⓘ Discharge in Pipe [Q]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.ⓘ Radius of pipe [R]			+10% -10%

✖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.ⓘ Pressure Gradient given Discharge through Pipe [dp|dr]

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Pressure Gradient given Discharge through Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Gradient = Discharge in Pipe/((pi/(8*Dynamic Viscosity))*(Radius of pipe^4))
dp|dr = Q/((pi/(8*μ))*(R^4))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Pressure Gradient - (Measured in Newton per Cubic Meter) - 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.
Discharge in Pipe - (Measured in Cubic Meter per Second) - The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Radius of pipe - (Measured in Meter) - The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.

STEP 1: Convert Input(s) to Base Unit

Discharge in Pipe: 1.000001 Cubic Meter per Second --> 1.000001 Cubic Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Radius of pipe: 138 Millimeter --> 0.138 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dp|dr = Q/((pi/(8*μ))*(R^4)) --> 1.000001/((pi/(8*1.02))*(0.138^4))

Evaluating ... ...

dp|dr = 7161.8360484234

STEP 3: Convert Result to Output's Unit

7161.8360484234 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

7161.8360484234 ≈ 7161.836 Newton per Cubic Meter <-- Pressure Gradient

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Pressure Gradient Calculators

Pressure Gradient given Velocity at any point in Cylindrical Element

LaTeX Go Pressure Gradient = Fluid Velocity/((1/(4*Dynamic Viscosity))*((Radius of pipe^2)-(Radial Distance^2)))

Pressure Gradient given Velocity Gradient at Cylindrical Element

LaTeX Go Pressure Gradient = 2*Dynamic Viscosity*Velocity Gradient/Radial Distance

Pressure Gradient given Maximum Shear Stress at Cylindrical Element

LaTeX Go Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Radius of pipe

Pressure Gradient given Shear Stress at any Cylindrical Element

LaTeX Go Pressure Gradient = 2*Shear Stress/Radial Distance

Pressure Gradient given Discharge through Pipe Formula

LaTeX Go

Pressure Gradient = Discharge in Pipe/((pi/(8*Dynamic Viscosity))*(Radius of pipe^4))
dp|dr = Q/((pi/(8*μ))*(R^4))

What is Pressure Gradient ?

Pressure gradient is a physical quantity that describes in which direction and at what rate the pressure increases the most rapidly around a particular location. The pressure gradient is a dimensional quantity expressed in units of pascals per metre.

How to Calculate Pressure Gradient given Discharge through Pipe?

Pressure Gradient given Discharge through Pipe calculator uses Pressure Gradient = Discharge in Pipe/((pi/(8*Dynamic Viscosity))*(Radius of pipe^4)) to calculate 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 calculate Pressure Gradient given Discharge through Pipe using this online calculator? To use this online calculator for Pressure Gradient given Discharge through Pipe, enter Discharge in Pipe (Q), Dynamic Viscosity (μ) & Radius of pipe (R) and hit the calculate button. Here is how the Pressure Gradient given Discharge through Pipe calculation can be explained with given input values -> 7161.836 = 1.000001/((pi/(8*1.02))*(0.138^4)).

FAQ

What is Pressure Gradient given Discharge through Pipe?

The Pressure Gradient given Discharge through Pipe is defined as the variation of pressure with respect to the length of the pipe and is represented as dp|dr = Q/((pi/(8*μ))*(R^4)) or Pressure Gradient = Discharge in Pipe/((pi/(8*Dynamic Viscosity))*(Radius of pipe^4)). The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied & The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.

How to calculate Pressure Gradient given Discharge through Pipe?

The Pressure Gradient given Discharge through Pipe is defined as the variation of pressure with respect to the length of the pipe is calculated using Pressure Gradient = Discharge in Pipe/((pi/(8*Dynamic Viscosity))*(Radius of pipe^4)). To calculate Pressure Gradient given Discharge through Pipe, you need Discharge in Pipe (Q), Dynamic Viscosity (μ) & Radius of pipe (R). With our tool, you need to enter the respective value for Discharge in Pipe, Dynamic Viscosity & Radius of pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Pressure Gradient?

In this formula, Pressure Gradient uses Discharge in Pipe, Dynamic Viscosity & Radius of pipe. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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