✖Unit Weight of Water in KN per Cubic Meter is the weight of water per unit volume of water.ⓘ Unit Weight of Water in KN per Cubic Meter [γ_water]			+10% -10%
✖Buttress Resistance in Pipe is a resistance applied in the pipe due to change in the direction of pipe.ⓘ Buttress Resistance in Pipe [P_BR]			+10% -10%
✖Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area [A_cs]			+10% -10%
✖Angle of Bend in Environmental Engi. is defined as the angle by which pipe bends.ⓘ Angle of Bend in Environmental Engi. [θ_b]			+10% -10%
✖The Head of the Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.ⓘ Head of the Liquid [H]			+10% -10%

✖Velocity of Flowing Water gives the velocity of an element of fluid at a position and time.ⓘ Velocity of Flow of Water with known Head of Water and Buttress Resistance [V_fw]

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Formula

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Velocity of Flow of Water with known Head of Water and Buttress Resistance

Formula

`"V"_{"fw"} = (("[g]"/"γ"_{"water"})*(("P"_{"BR"}/(2*"A"_{"cs"}*sin(("θ"_{"b"})/(2)))-"H"*"γ"_{"water"})))`

Example

`"39.53272m/s"=(("[g]"/"9.81kN/m³")*(("1500kN"/(2*"13m²"*sin(("36.0°")/(2)))-"15m"*"9.81kN/m³")))`

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Velocity of Flow of Water with known Head of Water and Buttress Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Flowing Water = (([g]/Unit Weight of Water in KN per Cubic Meter)*((Buttress Resistance in Pipe/(2*Cross-Sectional Area*sin((Angle of Bend in Environmental Engi.)/(2)))-Head of the Liquid*Unit Weight of Water in KN per Cubic Meter)))
V_fw = (([g]/γ_water)*((P_BR/(2*A_cs*sin((θ_b)/(2)))-H*γ_water)))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

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

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Velocity of Flowing Water - (Measured in Meter per Second) - Velocity of Flowing Water gives the velocity of an element of fluid at a position and time.
Unit Weight of Water in KN per Cubic Meter - (Measured in Newton per Cubic Meter) - Unit Weight of Water in KN per Cubic Meter is the weight of water per unit volume of water.
Buttress Resistance in Pipe - (Measured in Newton) - Buttress Resistance in Pipe is a resistance applied in the pipe due to change in the direction of pipe.
Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Angle of Bend in Environmental Engi. - (Measured in Radian) - Angle of Bend in Environmental Engi. is defined as the angle by which pipe bends.
Head of the Liquid - (Measured in Meter) - The Head of the Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.

STEP 1: Convert Input(s) to Base Unit

Unit Weight of Water in KN per Cubic Meter: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Buttress Resistance in Pipe: 1500 Kilonewton --> 1500000 Newton (Check conversion here)
Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
Angle of Bend in Environmental Engi.: 36 Degree --> 0.62831853071784 Radian (Check conversion here)
Head of the Liquid: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_fw = (([g]/γ_water)*((P_BR/(2*A_cs*sin((θ_b)/(2)))-H*γ_water))) --> (([g]/9810)*((1500000/(2*13*sin((0.62831853071784)/(2)))-15*9810)))

Evaluating ... ...

V_fw = 39.5327248974012

STEP 3: Convert Result to Output's Unit

39.5327248974012 Meter per Second --> No Conversion Required

FINAL ANSWER

39.5327248974012 ≈ 39.53272 Meter per Second <-- Velocity of Flowing Water

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Conveyance of Water » Stresses in Pipes » Stresses at Bends » Velocity of Flow of Water with known Head of Water and Buttress Resistance

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< 15 Stresses at Bends Calculators

Area of Section of Pipe given Head of Water and Buttress Resistance

Go Cross-Sectional Area = Buttress Resistance in Pipe/((2)*(((Unit Weight of Water in KN per Cubic Meter*(Flow Velocity of Fluid)^2)/[g])+(Unit Weight of Water in KN per Cubic Meter*Head of Liquid in Pipe))*sin((Angle of Bend in Environmental Engi.)/(2)))

Buttress Resistance using Head of Water

Go Buttress Resistance in Pipe = ((2*Cross-Sectional Area)*(((Unit Weight of Water in KN per Cubic Meter*(Velocity of Flowing Water^2))/[g])+(Unit Weight of Water in KN per Cubic Meter*Head of the Liquid))*sin((Angle of Bend in Environmental Engi.)/(2)))

Head of Water given Buttress Resistance

Go Head of the Liquid = (((Buttress Resistance in Pipe/((2*Cross-Sectional Area)*sin((Angle of Bend in Environmental Engi.)/(2)))-((Unit Weight of Water in KN per Cubic Meter*Velocity of Flowing Water^2)/[g])))/Unit Weight of Water in KN per Cubic Meter)

Angle of Bend given Head of Water and Buttress Resistance

Go Angle of Bend in Environmental Engi. = 2*asin(Buttress Resistance in Pipe/((2*Cross-Sectional Area)*(((Unit Weight of Water in KN per Cubic Meter*(Flow Velocity of Fluid)^2)/[g])+(Unit Weight of Water in KN per Cubic Meter*Head of Liquid in Pipe))))

Velocity of Flow of Water with known Head of Water and Buttress Resistance

Go Velocity of Flowing Water = (([g]/Unit Weight of Water in KN per Cubic Meter)*((Buttress Resistance in Pipe/(2*Cross-Sectional Area*sin((Angle of Bend in Environmental Engi.)/(2)))-Head of the Liquid*Unit Weight of Water in KN per Cubic Meter)))

Velocity of Flow of Water given Buttress Resistance

Go Velocity of Flowing Water = sqrt((Buttress Resistance in Pipe/((2*Cross-Sectional Area)*sin((Angle of Bend in Environmental Engi.)/(2)))-Internal Water Pressure in Pipes)*([g]/Unit Weight of Water in KN per Cubic Meter))

Head of Water given Total Tension in Pipe

Go Head of Liquid in Pipe = (Total Tension in Pipe in KN-((Unit Weight of Water in KN per Cubic Meter*Cross-Sectional Area*(Velocity of Flowing Water)^2)/[g]))/(Unit Weight of Water in KN per Cubic Meter*Cross-Sectional Area)

Internal Water Pressure using Buttress Resistance

Go Internal Water Pressure in Pipes = ((Buttress Resistance in Pipe/(2*Cross-Sectional Area*sin((Angle of Bend in Environmental Engi.)/(2))))-((Unit Weight of Water in KN per Cubic Meter*(Velocity of Flowing Water^2))/[g]))

Buttress Resistance using Angle of Bend

Go Buttress Resistance in Pipe = (2*Cross-Sectional Area)*(((Unit Weight of Water in KN per Cubic Meter*((Velocity of Flowing Water^2)/[g]))+Internal Water Pressure in Pipes)*sin((Angle of Bend in Environmental Engi.)/(2)))

Angle of Bend given Buttress Resistance

Area of Section of Pipe given Buttress Resistance

Go Cross-Sectional Area = Buttress Resistance in Pipe/((2)*(((Unit Weight of Water in KN per Cubic Meter*(Flow Velocity of Fluid)^2)/[g])+Internal Water Pressure in Pipes)*sin((Angle of Bend in Environmental Engi.)/(2)))

Velocity of Flow of Water given Total Tension in Pipe

Go Velocity of Flowing Water = sqrt((Total Tension in Pipe in KN-(Water Pressure in KN per Square Meter*Cross-Sectional Area))*([g]/(Unit Weight of Water in KN per Cubic Meter*Cross-Sectional Area)))

Area of Section of Pipe given Head of Water

Go Cross-Sectional Area = Total Tension in Pipe in KN/((Unit Weight of Water in KN per Cubic Meter*Head of Liquid in Pipe)+((Unit Weight of Water in KN per Cubic Meter*(Velocity of Flowing Water)^2)/[g]))

Area of Section of Pipe given Total Tension in Pipe

Go Cross-Sectional Area = Total Tension in Pipe in KN/((Water Pressure in KN per Square Meter)+((Unit Weight of Water in KN per Cubic Meter*(Velocity of Flowing Water)^2)/[g]))

Internal Water Pressure using Total Tension in Pipe

Go Internal Water Pressure in Pipes = (Total Tension of Pipe in MN/Cross-Sectional Area)-((Unit Weight of Water in KN per Cubic Meter*(Velocity of Flowing Water^2))/[g])

Velocity of Flow of Water with known Head of Water and Buttress Resistance Formula

What is Flow Velocity?

The flow velocity in fluid dynamics, also macroscopic velocity in statistical mechanics, or drift velocity in electromagnetism, is a vector field used to mathematically describe the motion of a continuum.

How to Calculate Velocity of Flow of Water with known Head of Water and Buttress Resistance?

Velocity of Flow of Water with known Head of Water and Buttress Resistance calculator uses Velocity of Flowing Water = (([g]/Unit Weight of Water in KN per Cubic Meter)*((Buttress Resistance in Pipe/(2*Cross-Sectional Area*sin((Angle of Bend in Environmental Engi.)/(2)))-Head of the Liquid*Unit Weight of Water in KN per Cubic Meter))) to calculate the Velocity of Flowing Water, The Velocity of Flow of Water with known Head of Water and Buttress Resistance formula is defined as the value of velocity of flow of water through the water pipe, considering the head of water and buttress resistance. Velocity of Flowing Water is denoted by V_fw symbol.

How to calculate Velocity of Flow of Water with known Head of Water and Buttress Resistance using this online calculator? To use this online calculator for Velocity of Flow of Water with known Head of Water and Buttress Resistance, enter Unit Weight of Water in KN per Cubic Meter (γ_water), Buttress Resistance in Pipe (P_BR), Cross-Sectional Area (A_cs), Angle of Bend in Environmental Engi. (θ_b) & Head of the Liquid (H) and hit the calculate button. Here is how the Velocity of Flow of Water with known Head of Water and Buttress Resistance calculation can be explained with given input values -> 39.53272 = (([g]/9810)*((1500000/(2*13*sin((0.62831853071784)/(2)))-15*9810))).

FAQ

What is Velocity of Flow of Water with known Head of Water and Buttress Resistance?

The Velocity of Flow of Water with known Head of Water and Buttress Resistance formula is defined as the value of velocity of flow of water through the water pipe, considering the head of water and buttress resistance and is represented as V_fw = (([g]/γ_water)*((P_BR/(2*A_cs*sin((θ_b)/(2)))-H*γ_water))) or Velocity of Flowing Water = (([g]/Unit Weight of Water in KN per Cubic Meter)*((Buttress Resistance in Pipe/(2*Cross-Sectional Area*sin((Angle of Bend in Environmental Engi.)/(2)))-Head of the Liquid*Unit Weight of Water in KN per Cubic Meter))). Unit Weight of Water in KN per Cubic Meter is the weight of water per unit volume of water, Buttress Resistance in Pipe is a resistance applied in the pipe due to change in the direction of pipe, Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point, Angle of Bend in Environmental Engi. is defined as the angle by which pipe bends & The Head of the Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.

How to calculate Velocity of Flow of Water with known Head of Water and Buttress Resistance?

The Velocity of Flow of Water with known Head of Water and Buttress Resistance formula is defined as the value of velocity of flow of water through the water pipe, considering the head of water and buttress resistance is calculated using Velocity of Flowing Water = (([g]/Unit Weight of Water in KN per Cubic Meter)*((Buttress Resistance in Pipe/(2*Cross-Sectional Area*sin((Angle of Bend in Environmental Engi.)/(2)))-Head of the Liquid*Unit Weight of Water in KN per Cubic Meter))). To calculate Velocity of Flow of Water with known Head of Water and Buttress Resistance, you need Unit Weight of Water in KN per Cubic Meter (γ_water), Buttress Resistance in Pipe (P_BR), Cross-Sectional Area (A_cs), Angle of Bend in Environmental Engi. (θ_b) & Head of the Liquid (H). With our tool, you need to enter the respective value for Unit Weight of Water in KN per Cubic Meter, Buttress Resistance in Pipe, Cross-Sectional Area, Angle of Bend in Environmental Engi & Head of the Liquid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Velocity of Flowing Water?

In this formula, Velocity of Flowing Water uses Unit Weight of Water in KN per Cubic Meter, Buttress Resistance in Pipe, Cross-Sectional Area, Angle of Bend in Environmental Engi & Head of the Liquid. We can use 2 other way(s) to calculate the same, which is/are as follows -

Velocity of Flowing Water = sqrt((Buttress Resistance in Pipe/((2*Cross-Sectional Area)*sin((Angle of Bend in Environmental Engi.)/(2)))-Internal Water Pressure in Pipes)*([g]/Unit Weight of Water in KN per Cubic Meter))
Velocity of Flowing Water = sqrt((Total Tension in Pipe in KN-(Water Pressure in KN per Square Meter*Cross-Sectional Area))*([g]/(Unit Weight of Water in KN per Cubic Meter*Cross-Sectional Area)))

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