Loss of Head Due to Friction Calculator

✖The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.ⓘ Coefficient of Friction [μ_f]			+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%
✖Average Velocity is defined as the mean of all different velocities.ⓘ Average Velocity [v_a]			+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 Head due to sudden enlargement turbulent eddies are formed at the corner of the enlargement of the pipe section.ⓘ Loss of Head Due to Friction [h_L]

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Formula

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Loss of Head Due to Friction

Formula

h L = \frac{4 \cdot μ f \cdot L \cdot {v a}^{2}}{D p \cdot 2 \cdot [g]}

Example

8.595114 m = \frac{4 \cdot 0.4 \cdot 3 m \cdot {6.5 m/s}^{2}}{1.203 m \cdot 2 \cdot [g]}

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Loss of Head Due to Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Loss of Head = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Diameter of Pipe*2*[g])
h_L = (4*μ_f*L*v_a^2)/(D_p*2*[g])
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

Loss of Head - (Measured in Meter) - Loss of Head due to sudden enlargement turbulent eddies are formed at the corner of the enlargement of the pipe section.
Coefficient of Friction - The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
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.
Average Velocity - (Measured in Meter per Second) - Average Velocity is defined as the mean of all different velocities.
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

Coefficient of Friction: 0.4 --> No Conversion Required
Length of Pipe: 3 Meter --> 3 Meter No Conversion Required
Average Velocity: 6.5 Meter per Second --> 6.5 Meter per Second 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_L = (4*μ_f*L*v_a^2)/(D_p*2*[g]) --> (4*0.4*3*6.5^2)/(1.203*2*[g])

Evaluating ... ...

h_L = 8.59511421412817

STEP 3: Convert Result to Output's Unit

8.59511421412817 Meter --> No Conversion Required

FINAL ANSWER

8.59511421412817 ≈ 8.595114 Meter <-- Loss of Head

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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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 Head Due to Friction Formula

Loss of Head = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Diameter of Pipe*2*[g])
h_L = (4*μ_f*L*v_a^2)/(D_p*2*[g])

What is head loss due to friction in viscous flow?

Head loss is potential energy that is converted to kinetic energy. Head losses are due to the frictional resistance of the piping system (a pipe, valves, fittings, entrance, and exit losses). Unlike the velocity head, the friction head cannot be ignored in system calculations. Values vary as the square of the flow rate.

What is friction in viscous flow?

The amount of friction depends on the fluid viscosity and the velocity gradient (that is, the relative velocity between fluid layers). The velocity gradients are set up by the no-slip condition at the wall.

How to Calculate Loss of Head Due to Friction?

Loss of Head Due to Friction calculator uses Loss of Head = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Diameter of Pipe*2*[g]) to calculate the Loss of Head, Loss of Head Due to Friction also known as friction loss, in a pipe depends on the pipe's length and diameter, the flow velocity, the fluid's density and viscosity, and the roughness of the pipe's interior surface. This loss is often described by the Darcy-Weisbach equation, which shows that the head loss is directly proportional to the pipe length and the square of the flow velocity, and inversely proportional to the pipe diameter. The friction factor, which depends on the Reynolds number and the pipe roughness, also plays a crucial role. Loss of Head is denoted by h_L symbol.

How to calculate Loss of Head Due to Friction using this online calculator? To use this online calculator for Loss of Head Due to Friction, enter Coefficient of Friction (μ_f), Length of Pipe (L), Average Velocity (v_a) & Diameter of Pipe (D_p) and hit the calculate button. Here is how the Loss of Head Due to Friction calculation can be explained with given input values -> 8.595114 = (4*0.4*3*6.5^2)/(1.203*2*[g]).

FAQ

What is Loss of Head Due to Friction?

Loss of Head Due to Friction also known as friction loss, in a pipe depends on the pipe's length and diameter, the flow velocity, the fluid's density and viscosity, and the roughness of the pipe's interior surface. This loss is often described by the Darcy-Weisbach equation, which shows that the head loss is directly proportional to the pipe length and the square of the flow velocity, and inversely proportional to the pipe diameter. The friction factor, which depends on the Reynolds number and the pipe roughness, also plays a crucial role and is represented as h_L = (4*μ_f*L*v_a^2)/(D_p*2*[g]) or Loss of Head = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Diameter of Pipe*2*[g]). The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it, 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, Average Velocity is defined as the mean of all different velocities & Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.

How to calculate Loss of Head Due to Friction?

Loss of Head Due to Friction also known as friction loss, in a pipe depends on the pipe's length and diameter, the flow velocity, the fluid's density and viscosity, and the roughness of the pipe's interior surface. This loss is often described by the Darcy-Weisbach equation, which shows that the head loss is directly proportional to the pipe length and the square of the flow velocity, and inversely proportional to the pipe diameter. The friction factor, which depends on the Reynolds number and the pipe roughness, also plays a crucial role is calculated using Loss of Head = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Diameter of Pipe*2*[g]). To calculate Loss of Head Due to Friction, you need Coefficient of Friction (μ_f), Length of Pipe (L), Average Velocity (v_a) & Diameter of Pipe (D_p). With our tool, you need to enter the respective value for Coefficient of Friction, Length of Pipe, Average Velocity & Diameter of Pipe 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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