## Head Loss due to Friction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g])
hf = fDarcy*uFluid^(2)*L/(dpipe*2*[g])
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665 Meter/Second²
Variables Used
Head loss - (Measured in Meter) - Head loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.
Darcy Friction Factor - Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.
Fluid Velocity - (Measured in Meter per Second) - Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Pipe Diameter - (Measured in Meter) - Pipe Diameter is the diameter of the pipe in which the liquid is flowing.
STEP 1: Convert Input(s) to Base Unit
Darcy Friction Factor: 0.1 --> No Conversion Required
Fluid Velocity: 12 Meter per Second --> 12 Meter per Second No Conversion Required
Length of Pipe: 0.2 Meter --> 0.2 Meter No Conversion Required
Pipe Diameter: 1.01 Meter --> 1.01 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hf = fDarcy*uFluid^(2)*L/(dpipe*2*[g]) --> 0.1*12^(2)*0.2/(1.01*2*[g])
Evaluating ... ...
hf = 0.145385281850319
STEP 3: Convert Result to Output's Unit
0.145385281850319 Meter --> No Conversion Required
(Calculation completed in 00.000 seconds)
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Created by Ishan Gupta
Birla Institute of Technology & Science (BITS), Pilani
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## < 9 Basic Formulas Calculators

Hydrostatic Force on Curved Submerged Surface
Hydrostatic Force = sqrt((Density*[g]*Volume)^2+(Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area)^2)
Height of Capillary Rise or Fall
Height of Capillary Rise/Fall = 4*Surface Tension*cos(Angle of Contact between Liquid and Capillary Tube)/(Density*[g]*Diameter of Tube)
Viscosity using Viscometer
Dynamic Viscosity = ((Torque*Thickness of Fluid Layer)/(4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder))
Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g])
Shear Force acting on Newtonian Fluid Layer
Shear Force = (Dynamic Viscosity*Contact Area*Velocity of Fluid)/(Distance Between Two Plates)
Hydrostatic Force on Horizontal Plane Submerged Surface
Hydrostatic Force = Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area
Discharge Rate of Liquid from Orifice in Tank
Flowrate = Area of Orifice*(sqrt(2*[g]*Height of Tank))
Momentum Diffusivity
Momentum Diffusivity = Dynamic Viscosity/Density
Fanning Friction Factor using Darcy Friction Factor
Fanning Friction Factor = Darcy Friction Factor/4

## Head Loss due to Friction Formula

Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g])
hf = fDarcy*uFluid^(2)*L/(dpipe*2*[g])

Head loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.
In the analysis of piping systems, pressure losses are commonly expressed in terms of the equivalent fluid column height, called the head loss. Noting from fluid statics that ΔP = 𝜌gh and thus a pressure difference of ΔP corresponds to a fluid height of h = ΔP/𝜌g.
The head loss represents the additional height that the fluid needs to be raised by a pump in order to overcome the frictional losses in the pipe. The head loss is caused by viscosity, and it is directly related to the wall shear stress.

## How to Calculate Head Loss due to Friction?

Head Loss due to Friction calculator uses Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g]) to calculate the Head loss, Head Loss due to friction is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system owing to friction. Head loss is denoted by hf symbol.

How to calculate Head Loss due to Friction using this online calculator? To use this online calculator for Head Loss due to Friction, enter Darcy Friction Factor (fDarcy), Fluid Velocity (uFluid), Length of Pipe (L) & Pipe Diameter (dpipe) and hit the calculate button. Here is how the Head Loss due to Friction calculation can be explained with given input values -> 0.145385 = 0.1*12^(2)*0.2/(1.01*2*[g]).

### FAQ

What is Head Loss due to Friction?
Head Loss due to friction is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system owing to friction and is represented as hf = fDarcy*uFluid^(2)*L/(dpipe*2*[g]) or Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g]). Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart, Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area, Length of Pipe describes the length of the pipe in which the liquid is flowing & Pipe Diameter is the diameter of the pipe in which the liquid is flowing.
How to calculate Head Loss due to Friction?
Head Loss due to friction is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system owing to friction is calculated using Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g]). To calculate Head Loss due to Friction, you need Darcy Friction Factor (fDarcy), Fluid Velocity (uFluid), Length of Pipe (L) & Pipe Diameter (dpipe). With our tool, you need to enter the respective value for Darcy Friction Factor, Fluid Velocity, Length of Pipe & Pipe Diameter 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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