Diameter of Pipe for Loss of Pressure Head in Viscous Flow Calculator

✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid [μ]			+10% -10%
✖Velocity of Fluid refers to the speed at which the fluid particles are moving in a particular direction.ⓘ Velocity of Fluid [V]			+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%
✖Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho).ⓘ Density of Liquid [ρ]			+10% -10%
✖Loss of Peizometric Head is considered in the viscous flow through circular pipe.ⓘ Loss of Peizometric Head [h_f]			+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 Loss of Pressure Head in Viscous Flow [D_p]

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Diameter of Pipe for Loss of Pressure Head in Viscous Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Pipe = sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head))
D_p = sqrt((32*μ*V*L)/(ρ*[g]*h_f))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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 Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
Velocity of Fluid - (Measured in Meter per Second) - Velocity of Fluid refers to the speed at which the fluid particles are moving in a particular direction.
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.
Density of Liquid - (Measured in Kilogram per Cubic Meter) - Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho).
Loss of Peizometric Head - (Measured in Meter) - Loss of Peizometric Head is considered in the viscous flow through circular pipe.

STEP 1: Convert Input(s) to Base Unit

Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion here)
Velocity of Fluid: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Length of Pipe: 3 Meter --> 3 Meter No Conversion Required
Density of Liquid: 984.6633 Kilogram per Cubic Meter --> 984.6633 Kilogram per Cubic Meter No Conversion Required
Loss of Peizometric Head: 0.086132 Meter --> 0.086132 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_p = sqrt((32*μ*V*L)/(ρ*[g]*h_f)) --> sqrt((32*8.23*60*3)/(984.6633*[g]*0.086132))

Evaluating ... ...

D_p = 7.54961282814966

STEP 3: Convert Result to Output's Unit

7.54961282814966 Meter --> No Conversion Required

FINAL ANSWER

7.54961282814966 ≈ 7.549613 Meter <-- Diameter of Pipe

(Calculation completed in 00.020 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 Loss of Pressure Head in Viscous Flow Formula

LaTeX Go

Diameter of Pipe = sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head))
D_p = sqrt((32*μ*V*L)/(ρ*[g]*h_f))

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.

What is Hagen poiseuille formula?

In nonideal fluid dynamics, the Hagen–Poiseuille equation is a physical law that gives the pressure drop in an incompressible and Newtonian fluid in laminar flow flowing through a long cylindrical pipe of constant cross-section.

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

Diameter of Pipe for Loss of Pressure Head in Viscous Flow calculator uses Diameter of Pipe = sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head)) to calculate the Diameter of Pipe, Diameter of Pipe for Loss of Pressure Head in Viscous Flow can be determined using the Darcy-Weisbach equation. This relationship states that the loss of pressure head due to friction is directly proportional to the length of the pipe, the square of the flow velocity, and the friction factor, and inversely proportional to the pipe diameter. Diameter of Pipe is denoted by D_p symbol.

How to calculate Diameter of Pipe for Loss of Pressure Head in Viscous Flow using this online calculator? To use this online calculator for Diameter of Pipe for Loss of Pressure Head in Viscous Flow, enter Viscosity of Fluid (μ), Velocity of Fluid (V), Length of Pipe (L), Density of Liquid (ρ) & Loss of Peizometric Head (h_f) and hit the calculate button. Here is how the Diameter of Pipe for Loss of Pressure Head in Viscous Flow calculation can be explained with given input values -> 1.809095 = sqrt((32*8.23*60*3)/(984.6633*[g]*0.086132)).

FAQ

What is Diameter of Pipe for Loss of Pressure Head in Viscous Flow?

Diameter of Pipe for Loss of Pressure Head in Viscous Flow can be determined using the Darcy-Weisbach equation. This relationship states that the loss of pressure head due to friction is directly proportional to the length of the pipe, the square of the flow velocity, and the friction factor, and inversely proportional to the pipe diameter and is represented as D_p = sqrt((32*μ*V*L)/(ρ*[g]*h_f)) or Diameter of Pipe = sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head)). The Viscosity of fluid is a measure of its resistance to deformation at a given rate, Velocity of Fluid refers to the speed at which the fluid particles are moving in a particular direction, 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, Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho) & Loss of Peizometric Head is considered in the viscous flow through circular pipe.

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

Diameter of Pipe for Loss of Pressure Head in Viscous Flow can be determined using the Darcy-Weisbach equation. This relationship states that the loss of pressure head due to friction is directly proportional to the length of the pipe, the square of the flow velocity, and the friction factor, and inversely proportional to the pipe diameter is calculated using Diameter of Pipe = sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head)). To calculate Diameter of Pipe for Loss of Pressure Head in Viscous Flow, you need Viscosity of Fluid (μ), Velocity of Fluid (V), Length of Pipe (L), Density of Liquid (ρ) & Loss of Peizometric Head (h_f). With our tool, you need to enter the respective value for Viscosity of Fluid, Velocity of Fluid, Length of Pipe, Density of Liquid & Loss of Peizometric Head 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 Fluid, Velocity of Fluid, Length of Pipe, Density of Liquid & Loss of Peizometric Head. We can use 2 other way(s) to calculate the same, which is/are as follows -

Diameter of Pipe = sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow))
Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g])

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