Loss of Head due to Bend in Pipe Solution

STEP 0: Pre-Calculation Summary
Formula Used
Head Loss at Pipe Bend = Coefficient of Bend in Pipe*(Flow Velocity through Pipe^2)/(2*[g])
hb = k*(Vf^2)/(2*[g])
This formula uses 1 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Head Loss at Pipe Bend - (Measured in Meter) - The Head Loss at Pipe Bend is the energy lost due to the bend in the pipe.
Coefficient of Bend in Pipe - The Coefficient of Bend in Pipe depends on the total length of the bend and the ratio of the radius of curvature of the bend and pipe diameter.
Flow Velocity through Pipe - (Measured in Meter per Second) - Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Bend in Pipe: 0.72 --> No Conversion Required
Flow Velocity through Pipe: 12.5 Meter per Second --> 12.5 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hb = k*(Vf^2)/(2*[g]) --> 0.72*(12.5^2)/(2*[g])
Evaluating ... ...
hb = 5.73590369800085
STEP 3: Convert Result to Output's Unit
5.73590369800085 Meter --> No Conversion Required
FINAL ANSWER
5.73590369800085 5.735904 Meter <-- Head Loss at Pipe Bend
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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14 Pressure and Flow Head Calculators

Difference in liquid level in three compound pipes with same friction coefficient
Go Difference in Liquid Level = (4*Coefficient of Friction of Pipe/(2*[g]))*((Length of Pipe 1*Velocity at Point 1^2/Diameter of Pipe 1)+(Length of Pipe 2*Velocity at Point 2^2/Diameter of Pipe 2)+(Length of Pipe 3*Velocity at Point 3^2/Diameter of Pipe 3))
Pressure rise for sudden closure of valve in elastic pipe
Go Pressure Rise at Valve = (Flow Velocity through Pipe)*(sqrt(Density of Fluid in Pipe/((1/Bulk Modulus of Liquid Hitting Valve)+(Diameter of Pipe/(Modulus of Elasticity of Pipe*(Thickness of Liquid Carrying Pipe))))))
Loss of Head due to Obstruction in Pipe
Go Loss of Head Due to Obstruction in Pipe = Flow Velocity through Pipe^2/(2*[g])*(Cross Sectional Area of Pipe/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction))-1)^2
Total head at inlet of pipe for head available at base of nozzle
Go Total Head at Inlet of Pipe = Head Base of Nozzle+(4*Coefficient of Friction of Pipe*Length of Pipe*(Flow Velocity through Pipe^2)/(Diameter of Pipe*2*[g]))
Head available at Base of Nozzle
Go Head Base of Nozzle = Total Head at Inlet of Pipe-(4*Coefficient of Friction of Pipe*Length of Pipe*(Flow Velocity through Pipe^2)/(Diameter of Pipe*2*[g]))
Loss of head in equivalent pipe
Go Loss of Head in Equivalent Pipe = (4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe*Length of Pipe)/((pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])
Intensity of pressure wave produced for gradual closure of valves
Go Intensity of Pressure of Wave = (Density of Fluid in Pipe*Length of Pipe*Flow Velocity through Pipe)/Time Required to Close Valve
Loss of Head due to Sudden Contraction
Go Loss of Head Sudden Contraction = Velocity of Fluid at Section 2^2/(2*[g])*(1/Coefficient of Contraction in Pipe-1)^2
Loss of head due to sudden enlargement at any particular section of pipe
Go Loss of Head Sudden Enlargement = ((Velocity of Fluid at Section 1-Velocity of Fluid at Section 2)^2)/(2*[g])
Loss of Head due to Bend in Pipe
Go Head Loss at Pipe Bend = Coefficient of Bend in Pipe*(Flow Velocity through Pipe^2)/(2*[g])
Total head available at inlet of pipe for efficiency of power transmission
Go Total Head at Inlet of Pipe = Head Loss Due to Friction in Pipe/(1-Efficiency for Pipe)
Head Loss due to Friction for Efficiency of Power Transmission
Go Head Loss Due to Friction in Pipe = Total Head at Inlet of Pipe*(1-Efficiency for Pipe)
Loss of Head at Entrance of Pipe
Go Head Loss at Pipe Entrance = 0.5*(Flow Velocity through Pipe^2)/(2*[g])
Loss of head at exit of pipe
Go Head Loss at Pipe Exit = (Flow Velocity through Pipe^2)/(2*[g])

Loss of Head due to Bend in Pipe Formula

Head Loss at Pipe Bend = Coefficient of Bend in Pipe*(Flow Velocity through Pipe^2)/(2*[g])
hb = k*(Vf^2)/(2*[g])

What are the three terms coefficient of bend depends on?

The three terms coefficient of bend depends on are the angle of bend, the radius of curvature, and the diameter of the pipe.

How local eddies are formed here?

Fluid particles in this region, because of their close proximity to the wall, have low velocities and cannot overcome the adverse pressure gradient and this leads to a separation of flow from the boundary and consequent losses of energy in generating local eddies.

How to Calculate Loss of Head due to Bend in Pipe?

Loss of Head due to Bend in Pipe calculator uses Head Loss at Pipe Bend = Coefficient of Bend in Pipe*(Flow Velocity through Pipe^2)/(2*[g]) to calculate the Head Loss at Pipe Bend, The Loss of Head due to Bend in Pipe formula is known while considering the coefficient of bend and the velocity of liquid flow in the pipe. Head Loss at Pipe Bend is denoted by hb symbol.

How to calculate Loss of Head due to Bend in Pipe using this online calculator? To use this online calculator for Loss of Head due to Bend in Pipe, enter Coefficient of Bend in Pipe (k) & Flow Velocity through Pipe (Vf) and hit the calculate button. Here is how the Loss of Head due to Bend in Pipe calculation can be explained with given input values -> 5.735904 = 0.72*(12.5^2)/(2*[g]).

FAQ

What is Loss of Head due to Bend in Pipe?
The Loss of Head due to Bend in Pipe formula is known while considering the coefficient of bend and the velocity of liquid flow in the pipe and is represented as hb = k*(Vf^2)/(2*[g]) or Head Loss at Pipe Bend = Coefficient of Bend in Pipe*(Flow Velocity through Pipe^2)/(2*[g]). The Coefficient of Bend in Pipe depends on the total length of the bend and the ratio of the radius of curvature of the bend and pipe diameter & Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe.
How to calculate Loss of Head due to Bend in Pipe?
The Loss of Head due to Bend in Pipe formula is known while considering the coefficient of bend and the velocity of liquid flow in the pipe is calculated using Head Loss at Pipe Bend = Coefficient of Bend in Pipe*(Flow Velocity through Pipe^2)/(2*[g]). To calculate Loss of Head due to Bend in Pipe, you need Coefficient of Bend in Pipe (k) & Flow Velocity through Pipe (Vf). With our tool, you need to enter the respective value for Coefficient of Bend in Pipe & Flow Velocity through 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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