Loss of Pressure Head for Viscous Flow through Circular Pipe 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%
✖Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_p]			+10% -10%

✖Loss of Peizometric Head is considered in the viscous flow through circular pipe.ⓘ Loss of Pressure Head for Viscous Flow through Circular Pipe [h_f]

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Loss of Pressure Head for Viscous Flow through Circular Pipe

Formula

h f = \frac{32 \cdot μ \cdot V \cdot L}{ρ \cdot [g] \cdot {D p}^{2}}

Example

3.392209 m = \frac{32 \cdot 8.23 N*s/m² \cdot 60 m/s \cdot 3 m}{984.6633 kg/m³ \cdot [g] \cdot {1.203 m}^{2}}

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Loss of Pressure Head for Viscous Flow through Circular Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Loss of Peizometric Head = (32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Diameter of Pipe^2)
h_f = (32*μ*V*L)/(ρ*[g]*D_p^2)
This formula uses 1 Constants, 6 Variables

Constants Used

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

Variables Used

Loss of Peizometric Head - (Measured in Meter) - Loss of Peizometric Head is considered in the viscous flow through circular pipe.
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).
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.

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
Diameter of Pipe: 1.203 Meter --> 1.203 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_f = (32*μ*V*L)/(ρ*[g]*D_p^2) --> (32*8.23*60*3)/(984.6633*[g]*1.203^2)

Evaluating ... ...

h_f = 3.39220927304597

STEP 3: Convert Result to Output's Unit

3.39220927304597 Meter --> No Conversion Required

FINAL ANSWER

3.39220927304597 ≈ 3.392209 Meter <-- Loss of Peizometric Head

(Calculation completed in 00.020 seconds)

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Home » Physics » Fluid Mechanics » Viscous Flow » Mechanical » Flow Analysis » Loss of Pressure Head for Viscous Flow through Circular Pipe

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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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< Flow Analysis Calculators

Loss of Pressure Head for Viscous Flow between Two Parallel Plates

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

Loss of Pressure Head for Viscous Flow through Circular Pipe

Go Loss of Peizometric Head = (32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Diameter of Pipe^2)

Difference of Pressure for Viscous Flow between Two Parallel Plates

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

Difference of Pressure for Viscous or Laminar Flow

Go Pressure Difference in Viscous Flow = (32*Viscosity of Fluid*Average Velocity*Length of Pipe)/(Pipe Diameter^2)

Loss of Pressure Head for Viscous Flow through Circular Pipe Formula

Loss of Peizometric Head = (32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Diameter of Pipe^2)
h_f = (32*μ*V*L)/(ρ*[g]*D_p^2)

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 Loss of Pressure Head for Viscous Flow through Circular Pipe?

Loss of Pressure Head for Viscous Flow through Circular Pipe calculator uses Loss of Peizometric Head = (32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Diameter of Pipe^2) to calculate the Loss of Peizometric Head, Loss of Pressure Head for Viscous Flow through Circular Pipe described by the Hagen-Poiseuille equation, depends on the fluid's viscosity, the length and radius of the pipe, and the flow rate. The pressure head loss is directly proportional to the fluid's viscosity and the length of the pipe, and inversely proportional to the fourth power of the pipe's radius. The flow rate is also a key factor in determining the pressure head loss. Loss of Peizometric Head is denoted by h_f symbol.

How to calculate Loss of Pressure Head for Viscous Flow through Circular Pipe using this online calculator? To use this online calculator for Loss of Pressure Head for Viscous Flow through Circular Pipe, enter Viscosity of Fluid (μ), Velocity of Fluid (V), Length of Pipe (L), Density of Liquid (ρ) & Diameter of Pipe (D_p) and hit the calculate button. Here is how the Loss of Pressure Head for Viscous Flow through Circular Pipe calculation can be explained with given input values -> 3.392209 = (32*8.23*60*3)/(984.6633*[g]*1.203^2).

FAQ

What is Loss of Pressure Head for Viscous Flow through Circular Pipe?

Loss of Pressure Head for Viscous Flow through Circular Pipe described by the Hagen-Poiseuille equation, depends on the fluid's viscosity, the length and radius of the pipe, and the flow rate. The pressure head loss is directly proportional to the fluid's viscosity and the length of the pipe, and inversely proportional to the fourth power of the pipe's radius. The flow rate is also a key factor in determining the pressure head loss and is represented as h_f = (32*μ*V*L)/(ρ*[g]*D_p^2) or Loss of Peizometric Head = (32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Diameter of Pipe^2). 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) & Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.

How to calculate Loss of Pressure Head for Viscous Flow through Circular Pipe?

Loss of Pressure Head for Viscous Flow through Circular Pipe described by the Hagen-Poiseuille equation, depends on the fluid's viscosity, the length and radius of the pipe, and the flow rate. The pressure head loss is directly proportional to the fluid's viscosity and the length of the pipe, and inversely proportional to the fourth power of the pipe's radius. The flow rate is also a key factor in determining the pressure head loss is calculated using Loss of Peizometric Head = (32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Diameter of Pipe^2). To calculate Loss of Pressure Head for Viscous Flow through Circular Pipe, you need Viscosity of Fluid (μ), Velocity of Fluid (V), Length of Pipe (L), Density of Liquid (ρ) & Diameter of Pipe (D_p). With our tool, you need to enter the respective value for Viscosity of Fluid, Velocity of Fluid, Length of Pipe, Density of Liquid & Diameter 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 Loss of Peizometric Head?

In this formula, Loss of Peizometric Head uses Viscosity of Fluid, Velocity of Fluid, Length of Pipe, Density of Liquid & Diameter of Pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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