Frictional Loss Calculator

✖Height above Datum at Section 1, the datum is a fixed starting point of a scale or operation.ⓘ Height above Datum at Section 1 [h₁]			+10% -10%
✖Height above Datum at Section 2, datum is a fixed starting point of a scale or operation.ⓘ Height above Datum at Section 2 [h₂]			+10% -10%
✖Mean Velocity at End Sections at (1) is denoted by V₁ symbol.ⓘ Mean Velocity at End Sections at (1) [V₁]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Mean Velocity at End Sections at (2) is the time average of the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval counted from fixed time.ⓘ Mean Velocity at End Sections at (2) [V₂]			+10% -10%
✖Eddy Loss is the loss in fluid current whose flow direction differs from that of the general flow; the motion of the whole fluid is the net result of the movements of the eddies that compose it.ⓘ Eddy Loss [h_e]			+10% -10%

✖Frictional 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.ⓘ Frictional Loss [h_f]

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Formula

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Frictional Loss

Formula

`"h"_{"f"} = ("h"_{"1"}-"h"_{"2"})+("V"_{"1"}^2/(2*"g")-"V"_{"2"}^2/(2*"g"))-"h"_{"e"}`

Example

`"30.43339"=("50m"-"20m")+(("10m/s")^2/(2*"9.8m/s²")-("9m/s")^2/(2*"9.8m/s²"))-"0.536"`

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Download Indirect Methods of Streamflow Measurement Formulas PDF

Frictional Loss Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frictional Loss = (Height above Datum at Section 1-Height above Datum at Section 2)+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity)-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity))-Eddy Loss
h_f = (h₁-h₂)+(V₁^2/(2*g)-V₂^2/(2*g))-h_e
This formula uses 7 Variables

Variables Used

Frictional Loss - Frictional 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.
Height above Datum at Section 1 - (Measured in Meter) - Height above Datum at Section 1, the datum is a fixed starting point of a scale or operation.
Height above Datum at Section 2 - (Measured in Meter) - Height above Datum at Section 2, datum is a fixed starting point of a scale or operation.
Mean Velocity at End Sections at (1) - (Measured in Meter per Second) - Mean Velocity at End Sections at (1) is denoted by V₁ symbol.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Mean Velocity at End Sections at (2) - (Measured in Meter per Second) - Mean Velocity at End Sections at (2) is the time average of the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval counted from fixed time.
Eddy Loss - Eddy Loss is the loss in fluid current whose flow direction differs from that of the general flow; the motion of the whole fluid is the net result of the movements of the eddies that compose it.

STEP 1: Convert Input(s) to Base Unit

Height above Datum at Section 1: 50 Meter --> 50 Meter No Conversion Required
Height above Datum at Section 2: 20 Meter --> 20 Meter No Conversion Required
Mean Velocity at End Sections at (1): 10 Meter per Second --> 10 Meter per Second No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Mean Velocity at End Sections at (2): 9 Meter per Second --> 9 Meter per Second No Conversion Required
Eddy Loss: 0.536 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_f = (h₁-h₂)+(V₁^2/(2*g)-V₂^2/(2*g))-h_e --> (50-20)+(10^2/(2*9.8)-9^2/(2*9.8))-0.536

Evaluating ... ...

h_f = 30.433387755102

STEP 3: Convert Result to Output's Unit

30.433387755102 --> No Conversion Required

FINAL ANSWER

30.433387755102 ≈ 30.43339 <-- Frictional Loss

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< 3 Slope-Area Method Calculators

Head loss in Reach

Go Head Loss in Reach = Static Heads at End Sections at (1)+Height above Channel Slope at 1+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity))-Static Head at End Sections at (2)-Height above Channel Slope at 2-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity)

Frictional Loss

Go Frictional Loss = (Height above Datum at Section 1-Height above Datum at Section 2)+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity)-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity))-Eddy Loss

Eddy Loss

Go Eddy Loss = (Height above Datum at Section 1-Height above Datum at Section 2)+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity)-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity))-Frictional Loss

Frictional Loss Formula

What is Slope Area Method for Uniform Flow in Open Channel?

Slope Area Method for Uniform Flow in Open Channel discharge is computed on the basis of a uniform flow equation involving channel characteristics, water surface profile and a roughness coefficient. The drop in water surface profile for a uniform reach of channel represents losses caused by bed roughness.

What is the difference between Open Channel Flow and Closed Channel Flow?

The major difference is that the flow in a closed conduit is influenced by the pressure in the line whereas same in an open channel it is only by gravity. And in the case of closed conduit fluid does not come in contact with the atmosphere, whereas in open channel it is in touch with the atmosphere.

How to Calculate Frictional Loss?

Frictional Loss calculator uses Frictional Loss = (Height above Datum at Section 1-Height above Datum at Section 2)+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity)-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity))-Eddy Loss to calculate the Frictional Loss, The Frictional Loss (or skin friction) formula is defined as 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. Frictional Loss is denoted by h_f symbol.

How to calculate Frictional Loss using this online calculator? To use this online calculator for Frictional Loss, enter Height above Datum at Section 1 (h₁), Height above Datum at Section 2 (h₂), Mean Velocity at End Sections at (1) (V₁), Acceleration due to Gravity (g), Mean Velocity at End Sections at (2) (V₂) & Eddy Loss (h_e) and hit the calculate button. Here is how the Frictional Loss calculation can be explained with given input values -> 30.43339 = (50-20)+(10^2/(2*9.8)-9^2/(2*9.8))-0.536.

FAQ

What is Frictional Loss?

The Frictional Loss (or skin friction) formula is defined as 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 and is represented as h_f = (h₁-h₂)+(V₁^2/(2*g)-V₂^2/(2*g))-h_e or Frictional Loss = (Height above Datum at Section 1-Height above Datum at Section 2)+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity)-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity))-Eddy Loss. Height above Datum at Section 1, the datum is a fixed starting point of a scale or operation, Height above Datum at Section 2, datum is a fixed starting point of a scale or operation, Mean Velocity at End Sections at (1) is denoted by V₁ symbol, Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Mean Velocity at End Sections at (2) is the time average of the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval counted from fixed time & Eddy Loss is the loss in fluid current whose flow direction differs from that of the general flow; the motion of the whole fluid is the net result of the movements of the eddies that compose it.

How to calculate Frictional Loss?

The Frictional Loss (or skin friction) formula is defined as 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 is calculated using Frictional Loss = (Height above Datum at Section 1-Height above Datum at Section 2)+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity)-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity))-Eddy Loss. To calculate Frictional Loss, you need Height above Datum at Section 1 (h₁), Height above Datum at Section 2 (h₂), Mean Velocity at End Sections at (1) (V₁), Acceleration due to Gravity (g), Mean Velocity at End Sections at (2) (V₂) & Eddy Loss (h_e). With our tool, you need to enter the respective value for Height above Datum at Section 1, Height above Datum at Section 2, Mean Velocity at End Sections at (1), Acceleration due to Gravity, Mean Velocity at End Sections at (2) & Eddy Loss 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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