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

STEP 0: Pre-Calculation Summary
Formula Used
Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid)
L = (hf*ρ*[g]*Dp^2)/(32*μ*V)
This formula uses 1 Constants, 6 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
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.
Loss of Peizometric Head - (Measured in Meter) - Loss of Peizometric Head is considered in the viscous flow through circular pipe.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Loss of Peizometric Head: 0.086132 Meter --> 0.086132 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
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (hf*ρ*[g]*Dp^2)/(32*μ*V) --> (0.086132*984.6633*[g]*1.203^2)/(32*8.23*60)
Evaluating ... ...
L = 0.0761733664409149
STEP 3: Convert Result to Output's Unit
0.0761733664409149 Meter --> No Conversion Required
FINAL ANSWER
0.0761733664409149 0.076173 Meter <-- Length of Pipe
(Calculation completed in 00.004 seconds)

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Length of Pipe for Loss of Pressure Head in Viscous Flow Formula

​LaTeX ​Go
Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid)
L = (hf*ρ*[g]*Dp^2)/(32*μ*V)

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 Length of Pipe for Loss of Pressure Head in Viscous Flow?

Length of Pipe for Loss of Pressure Head in Viscous Flow calculator uses Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid) to calculate the Length of Pipe, Length of Pipe for Loss of Pressure Head in Viscous Flow refers to the actual physical length of the pipe through which the fluid is flowing. In viscous flow, friction between the fluid and the pipe walls causes a loss in pressure head along the length of the pipe. This loss is influenced by factors like the viscosity of the fluid, the velocity of flow, and the roughness of the pipe walls. Length of Pipe is denoted by L symbol.

How to calculate Length of Pipe for Loss of Pressure Head in Viscous Flow using this online calculator? To use this online calculator for Length of Pipe for Loss of Pressure Head in Viscous Flow, enter Loss of Peizometric Head (hf), Density of Liquid (ρ), Diameter of Pipe (Dp), Viscosity of Fluid (μ) & Velocity of Fluid (V) and hit the calculate button. Here is how the Length of Pipe for Loss of Pressure Head in Viscous Flow calculation can be explained with given input values -> 1.326569 = (0.086132*984.6633*[g]*1.203^2)/(32*8.23*60).

FAQ

What is Length of Pipe for Loss of Pressure Head in Viscous Flow?
Length of Pipe for Loss of Pressure Head in Viscous Flow refers to the actual physical length of the pipe through which the fluid is flowing. In viscous flow, friction between the fluid and the pipe walls causes a loss in pressure head along the length of the pipe. This loss is influenced by factors like the viscosity of the fluid, the velocity of flow, and the roughness of the pipe walls and is represented as L = (hf*ρ*[g]*Dp^2)/(32*μ*V) or Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid). Loss of Peizometric Head is considered in the viscous flow through circular pipe, 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, 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.
How to calculate Length of Pipe for Loss of Pressure Head in Viscous Flow?
Length of Pipe for Loss of Pressure Head in Viscous Flow refers to the actual physical length of the pipe through which the fluid is flowing. In viscous flow, friction between the fluid and the pipe walls causes a loss in pressure head along the length of the pipe. This loss is influenced by factors like the viscosity of the fluid, the velocity of flow, and the roughness of the pipe walls is calculated using Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid). To calculate Length of Pipe for Loss of Pressure Head in Viscous Flow, you need Loss of Peizometric Head (hf), Density of Liquid (ρ), Diameter of Pipe (Dp), Viscosity of Fluid (μ) & Velocity of Fluid (V). With our tool, you need to enter the respective value for Loss of Peizometric Head, Density of Liquid, Diameter of Pipe, Viscosity of Fluid & Velocity of Fluid 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 Length of Pipe?
In this formula, Length of Pipe uses Loss of Peizometric Head, Density of Liquid, Diameter of Pipe, Viscosity of Fluid & Velocity of Fluid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Length of Pipe = (Pressure Difference in Viscous Flow*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)
  • Length of Pipe = (Density of Liquid*[g]*Loss of Peizometric Head*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)
  • Length of Pipe = (Pressure Difference in Viscous Flow*Diameter of Pipe^2)/(32*Viscosity of Oil*Average Velocity)
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