Diameter of Pipe for Difference in Pressure in Viscous Flow Calculator

✖The Viscosity of Oil is considered in the viscous or laminar flow.ⓘ Viscosity of Oil [μ_o]			+10% -10%
✖Average Velocity is defined as the mean of all different velocities.ⓘ Average Velocity [v_a]			+10% -10%
✖Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system.ⓘ Length of Pipe [L]			+10% -10%
✖The Pressure Difference in Viscous Flow or the laminar flow is known to find the difference between initial and final pressure.ⓘ Pressure Difference in Viscous Flow [Δp]			+10% -10%

✖Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe for Difference in Pressure in Viscous Flow [D_p]

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Diameter of Pipe for Difference in Pressure in Viscous Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Pipe = sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow))
D_p = sqrt((32*μ_o*v_a*L)/(Δp))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.
Viscosity of Oil - (Measured in Pascal Second) - The Viscosity of Oil is considered in the viscous or laminar flow.
Average Velocity - (Measured in Meter per Second) - Average Velocity is defined as the mean of all different velocities.
Length of Pipe - (Measured in Meter) - Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system.
Pressure Difference in Viscous Flow - (Measured in Pascal) - The Pressure Difference in Viscous Flow or the laminar flow is known to find the difference between initial and final pressure.

STEP 1: Convert Input(s) to Base Unit

Viscosity of Oil: 30 Newton Second per Square Meter --> 30 Pascal Second (Check conversion here)
Average Velocity: 6.5 Meter per Second --> 6.5 Meter per Second No Conversion Required
Length of Pipe: 3 Meter --> 3 Meter No Conversion Required
Pressure Difference in Viscous Flow: 831.7133 Newton per Square Meter --> 831.7133 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_p = sqrt((32*μ_o*v_a*L)/(Δp)) --> sqrt((32*30*6.5*3)/(831.7133))

Evaluating ... ...

D_p = 4.74423397166828

STEP 3: Convert Result to Output's Unit

4.74423397166828 Meter --> No Conversion Required

FINAL ANSWER

4.74423397166828 ≈ 4.744234 Meter <-- Diameter of Pipe

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Amrita School of Engineering (ASE), Vallikavu

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< Dimensions and Geometry Calculators

Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates

LaTeX Go Length of Pipe = (Density of Liquid*[g]*Loss of Peizometric Head*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)

Length for Difference of Pressure in Viscous Flow between Two Parallel Plates

LaTeX Go Length of Pipe = (Pressure Difference in Viscous Flow*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)

Diameter of Shaft for Torque Required in Foot-Step Bearing

LaTeX Go Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)

Diameter of Pipe from Maximum Velocity and Velocity at Any Radius

LaTeX Go Pipe Diameter = (2*Radius)/sqrt(1-Velocity of Fluid/Maximum Velocity)

Diameter of Pipe for Difference in Pressure in Viscous Flow Formula

LaTeX Go

Diameter of Pipe = sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow))
D_p = sqrt((32*μ_o*v_a*L)/(Δp))

What is viscous flow?

A type of fluid flow in which there is a continuous steady motion of the particles; the motion at a fixed point always remains constant. Also called streamline flow; laminar flow; steady flow.

What is pressure drop?

Pressure drop is defined as the difference in total pressure between two points of a fluid carrying network. A pressure drop occurs when frictional forces, caused by the resistance to flow, act on a fluid as it flows through the tube.

How to Calculate Diameter of Pipe for Difference in Pressure in Viscous Flow?

Diameter of Pipe for Difference in Pressure in Viscous Flow calculator uses Diameter of Pipe = sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow)) to calculate the Diameter of Pipe, Diameter of Pipe for Difference in Pressure in Viscous Flow with a given pressure difference can be determined using the Hagen-Poiseuille equation. This relationship states that the flow rate of a fluid through a cylindrical pipe is directly proportional to the fourth power of the pipe's diameter, the pressure difference between the ends of the pipe, and inversely proportional to the fluid's viscosity and the pipe's length. Diameter of Pipe is denoted by D_p symbol.

How to calculate Diameter of Pipe for Difference in Pressure in Viscous Flow using this online calculator? To use this online calculator for Diameter of Pipe for Difference in Pressure in Viscous Flow, enter Viscosity of Oil (μ_o), Average Velocity (v_a), Length of Pipe (L) & Pressure Difference in Viscous Flow (Δp) and hit the calculate button. Here is how the Diameter of Pipe for Difference in Pressure in Viscous Flow calculation can be explained with given input values -> 1.231423 = sqrt((32*30*6.5*3)/(831.7133)).

FAQ

What is Diameter of Pipe for Difference in Pressure in Viscous Flow?

Diameter of Pipe for Difference in Pressure in Viscous Flow with a given pressure difference can be determined using the Hagen-Poiseuille equation. This relationship states that the flow rate of a fluid through a cylindrical pipe is directly proportional to the fourth power of the pipe's diameter, the pressure difference between the ends of the pipe, and inversely proportional to the fluid's viscosity and the pipe's length and is represented as D_p = sqrt((32*μ_o*v_a*L)/(Δp)) or Diameter of Pipe = sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow)). The Viscosity of Oil is considered in the viscous or laminar flow, Average Velocity is defined as the mean of all different velocities, Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system & The Pressure Difference in Viscous Flow or the laminar flow is known to find the difference between initial and final pressure.

How to calculate Diameter of Pipe for Difference in Pressure in Viscous Flow?

Diameter of Pipe for Difference in Pressure in Viscous Flow with a given pressure difference can be determined using the Hagen-Poiseuille equation. This relationship states that the flow rate of a fluid through a cylindrical pipe is directly proportional to the fourth power of the pipe's diameter, the pressure difference between the ends of the pipe, and inversely proportional to the fluid's viscosity and the pipe's length is calculated using Diameter of Pipe = sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow)). To calculate Diameter of Pipe for Difference in Pressure in Viscous Flow, you need Viscosity of Oil (μ_o), Average Velocity (v_a), Length of Pipe (L) & Pressure Difference in Viscous Flow (Δp). With our tool, you need to enter the respective value for Viscosity of Oil, Average Velocity, Length of Pipe & Pressure Difference in Viscous Flow 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 Diameter of Pipe?

In this formula, Diameter of Pipe uses Viscosity of Oil, Average Velocity, Length of Pipe & Pressure Difference in Viscous Flow. We can use 2 other way(s) to calculate the same, which is/are as follows -

Diameter of Pipe = sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head))
Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g])

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