Discharge through Pipe given Pressure Gradient Calculator

✖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 [dp\|dr]			+10% -10%

✖The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.ⓘ Discharge through Pipe given Pressure Gradient [Q]

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Discharge through Pipe given Pressure Gradient Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Radius of pipe: 138 Millimeter --> 0.138 Meter (Check conversion here)
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (pi/(8*μ))*(R^4)*dp|dr --> (pi/(8*1.02))*(0.138^4)*17

Evaluating ... ...

Q = 0.0023736953603877

STEP 3: Convert Result to Output's Unit

0.0023736953603877 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.0023736953603877 ≈ 0.002374 Cubic Meter per Second <-- Discharge in Pipe

(Calculation completed in 00.016 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Steady Laminar Flow in Circular Pipes Calculators

Shear Stress at any Cylindrical Element given Head Loss

LaTeX Go Shear Stress = (Specific Weight of Liquid*Head Loss due to Friction*Radial Distance)/(2*Length of Pipe)

Distance of Element from Center Line given Head Loss

LaTeX Go Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid)

Distance of Element from Center line given Shear Stress at any Cylindrical Element

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

Shear Stress at any Cylindrical Element

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

Discharge through Pipe given Pressure Gradient Formula

LaTeX Go

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

What is Rate of Flow ?

Rate of flow may refer to: Mass flow rate, the movement of mass per time. Volumetric flow rate, the volume of a fluid which passes through a given surface per unit of time. Heat flow rate, the movement of heat per time.

How to Calculate Discharge through Pipe given Pressure Gradient?

Discharge through Pipe given Pressure Gradient calculator uses Discharge in Pipe = (pi/(8*Dynamic Viscosity))*(Radius of pipe^4)*Pressure Gradient to calculate the Discharge in Pipe, The Discharge through Pipe given pressure gradient is defined as the total volume of fluid coming in and going through the pipe at a section. Discharge in Pipe is denoted by Q symbol.

How to calculate Discharge through Pipe given Pressure Gradient using this online calculator? To use this online calculator for Discharge through Pipe given Pressure Gradient, enter Dynamic Viscosity (μ), Radius of pipe (R) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Discharge through Pipe given Pressure Gradient calculation can be explained with given input values -> 0.010472 = (pi/(8*1.02))*(0.138^4)*17.

FAQ

What is Discharge through Pipe given Pressure Gradient?

The Discharge through Pipe given pressure gradient is defined as the total volume of fluid coming in and going through the pipe at a section and is represented as Q = (pi/(8*μ))*(R^4)*dp|dr or Discharge in Pipe = (pi/(8*Dynamic Viscosity))*(Radius of pipe^4)*Pressure Gradient. 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 & 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.

How to calculate Discharge through Pipe given Pressure Gradient?

The Discharge through Pipe given pressure gradient is defined as the total volume of fluid coming in and going through the pipe at a section is calculated using Discharge in Pipe = (pi/(8*Dynamic Viscosity))*(Radius of pipe^4)*Pressure Gradient. To calculate Discharge through Pipe given Pressure Gradient, you need Dynamic Viscosity (μ), Radius of pipe (R) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Dynamic Viscosity, Radius of pipe & Pressure Gradient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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