Darcy-Weisbach equation 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%
✖The Length of Pipe 1 describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe 1 [L₁]			+10% -10%
✖The Velocity of Liquid in the pipe is defined as the product of the ratio of areas of the cylinder to the pipe, angular velocity, the radius of crank and sin of angular velocity and time.ⓘ Velocity of Liquid [v_liquid]			+10% -10%
✖Diameter of delivery pipe is the value of diameter.ⓘ Diameter of delivery pipe [D_d]			+10% -10%

✖Head loss due to friction is defined as ratio of product of coeff of friction, length of pipe, and velocity squared to the product of diameter of pipe and twice acceleration due to gravity.ⓘ Darcy-Weisbach equation [h_f]

⎘ Copy

👎

Formula

✖

Darcy-Weisbach equation

Formula

`"h"_{"f"} = (4*"μ"_{"f"}*"L"_{"1"}*"v"_{"liquid"}^2)/("D"_{"d"}*2*"[g]")`

Example

`"10572.42m"=(4*"0.4"*"120m"*("18m/s")^2)/("0.3m"*2*"[g]")`

Calculator

LaTeX

Reset

👍

Download Fluid Mechanics Formula PDF

Darcy-Weisbach equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Head loss due to friction = (4*Coefficient of Friction*Length of Pipe 1*Velocity of Liquid^2)/(Diameter of delivery pipe*2*[g])
h_f = (4*μ_f*L₁*v_liquid^2)/(D_d*2*[g])
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

Head loss due to friction - (Measured in Meter) - Head loss due to friction is defined as ratio of product of coeff of friction, length of pipe, and velocity squared to the product of diameter of pipe and twice acceleration due to gravity.
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 1 - (Measured in Meter) - The Length of Pipe 1 describes the length of the pipe in which the liquid is flowing.
Velocity of Liquid - (Measured in Meter per Second) - The Velocity of Liquid in the pipe is defined as the product of the ratio of areas of the cylinder to the pipe, angular velocity, the radius of crank and sin of angular velocity and time.
Diameter of delivery pipe - (Measured in Meter) - Diameter of delivery pipe is the value of diameter.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction: 0.4 --> No Conversion Required
Length of Pipe 1: 120 Meter --> 120 Meter No Conversion Required
Velocity of Liquid: 18 Meter per Second --> 18 Meter per Second No Conversion Required
Diameter of delivery pipe: 0.3 Meter --> 0.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_f = (4*μ_f*L₁*v_liquid^2)/(D_d*2*[g]) --> (4*0.4*120*18^2)/(0.3*2*[g])

Evaluating ... ...

h_f = 10572.4176961552

STEP 3: Convert Result to Output's Unit

10572.4176961552 Meter --> No Conversion Required

FINAL ANSWER

10572.4176961552 ≈ 10572.42 Meter <-- Head loss due to friction

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Fluid Mechanics » Fluid Machinery » Reciprocating Pumps » Fluid Parameters » Darcy-Weisbach equation

Credits

Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has created this Calculator and 200+ more calculators!

Verified by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has verified this Calculator and 200+ more calculators!

< 13 Fluid Parameters Calculators

Intensity of pressure due to acceleration

Go Pressure = Density*Length of Pipe 1*(Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angle turned by crank)

Power Required to Drive Pump

Go Power = Specific Weight*Area of Piston*Length of Stroke*Speed*(Height of centre of cylinder+Height to which liquid is raised)/60

Darcy-Weisbach equation

Go Head loss due to friction = (4*Coefficient of Friction*Length of Pipe 1*Velocity of Liquid^2)/(Diameter of delivery pipe*2*[g])

Acceleration of Piston

Go Acceleration of piston = (Angular Velocity^2)*Radius of crank*cos(Angular Velocity*Time in seconds)

Velocity of Piston

Go Velocity of Piston = Angular Velocity*Radius of crank*sin(Angular Velocity*Time in seconds)

Corresponding distance x travelled by Piston

Go Distance travelled by piston = Radius of crank*(1-cos(Angular Velocity*Time in seconds))

Angle Turned by Crank in Time t

Go Angle turned by crank = 2*pi*(Speed/60)*Time in seconds

Resultant Force on body moving in Fluid with certain Density

Go Resultant Force = sqrt(Drag Force^2+Lift Force^2)

Slip percentage

Go Slip Percentage = (1-(Actual Discharge/Theoretical Discharge of Pump))*100

Cross sectional area of piston given volume of liquid

Go Area of Piston = Volume of Liquid sucked/Length of Stroke

Length of Stroke given Volume of Liquid

Go Length of Stroke = Volume of Liquid sucked/Area of Piston

Slip of Pump

Go Pump Slippage = Theoretical Discharge-Actual Discharge

Slip Percentage given Coefficient of Discharge

Go Slip Percentage = (1-Coefficient of Discharge)*100

Darcy-Weisbach equation Formula

Head loss due to friction = (4*Coefficient of Friction*Length of Pipe 1*Velocity of Liquid^2)/(Diameter of delivery pipe*2*[g])
h_f = (4*μ_f*L₁*v_liquid^2)/(D_d*2*[g])

What is head loss due to friction?

In fluid flow, friction loss is the loss of pressure or “head” that occurs in pipe or duct flow due to the effect of the fluid's viscosity near the surface of the pipe or duct.

How to Calculate Darcy-Weisbach equation?

Darcy-Weisbach equation calculator uses Head loss due to friction = (4*Coefficient of Friction*Length of Pipe 1*Velocity of Liquid^2)/(Diameter of delivery pipe*2*[g]) to calculate the Head loss due to friction, The Darcy-Weisbach equation is defined as the ratio of product of coefficient of friction, length of pipe, and velocity squared to the product of diameter of pipe and twice the acceleration due to gravity. Head loss due to friction is denoted by h_f symbol.

How to calculate Darcy-Weisbach equation using this online calculator? To use this online calculator for Darcy-Weisbach equation, enter Coefficient of Friction (μ_f), Length of Pipe 1 (L₁), Velocity of Liquid (v_liquid) & Diameter of delivery pipe (D_d) and hit the calculate button. Here is how the Darcy-Weisbach equation calculation can be explained with given input values -> 10572.42 = (4*0.4*120*18^2)/(0.3*2*[g]).

FAQ

What is Darcy-Weisbach equation?

The Darcy-Weisbach equation is defined as the ratio of product of coefficient of friction, length of pipe, and velocity squared to the product of diameter of pipe and twice the acceleration due to gravity and is represented as h_f = (4*μ_f*L₁*v_liquid^2)/(D_d*2*[g]) or Head loss due to friction = (4*Coefficient of Friction*Length of Pipe 1*Velocity of Liquid^2)/(Diameter of delivery 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, The Length of Pipe 1 describes the length of the pipe in which the liquid is flowing, The Velocity of Liquid in the pipe is defined as the product of the ratio of areas of the cylinder to the pipe, angular velocity, the radius of crank and sin of angular velocity and time & Diameter of delivery pipe is the value of diameter.

How to calculate Darcy-Weisbach equation?

The Darcy-Weisbach equation is defined as the ratio of product of coefficient of friction, length of pipe, and velocity squared to the product of diameter of pipe and twice the acceleration due to gravity is calculated using Head loss due to friction = (4*Coefficient of Friction*Length of Pipe 1*Velocity of Liquid^2)/(Diameter of delivery pipe*2*[g]). To calculate Darcy-Weisbach equation, you need Coefficient of Friction (μ_f), Length of Pipe 1 (L₁), Velocity of Liquid (v_liquid) & Diameter of delivery pipe (D_d). With our tool, you need to enter the respective value for Coefficient of Friction, Length of Pipe 1, Velocity of Liquid & Diameter of delivery pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search