Velocity of Flow of Water given Total Tension in Pipe Calculator

✖Total Tension in Pipe in KN is defined as the force that tries to elongate a pipe in KN.ⓘ Total Tension in Pipe in KN [T_tkn]			+10% -10%
✖Water Pressure in KN per Square Meter is a force that makes a flow of water strong or weak.ⓘ Water Pressure in KN per Square Meter [P_wt]			+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%
✖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%

✖Velocity of Flowing Water gives the velocity of an element of fluid at a position and time.ⓘ Velocity of Flow of Water given Total Tension in Pipe [V_fw]

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Formula

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Velocity of Flow of Water given Total Tension in Pipe

Formula

`"V"_{"fw"} = sqrt(("T"_{"tkn"}-("P"_{"wt"}*"A"_{"cs"}))*("[g]"/("γ"_{"water"}*"A"_{"cs"})))`

Example

`"5.670078m/s"=sqrt(("482.7kN"-("4.97kN/m²"*"13m²"))*("[g]"/("9.81kN/m³"*"13m²")))`

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Velocity of Flow of Water given Total Tension in Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
V_fw = sqrt((T_tkn-(P_wt*A_cs))*([g]/(γ_water*A_cs)))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Total Tension in Pipe in KN - (Measured in Newton) - Total Tension in Pipe in KN is defined as the force that tries to elongate a pipe in KN.
Water Pressure in KN per Square Meter - (Measured in Pascal) - Water Pressure in KN per Square Meter is a force that makes a flow of water strong or weak.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Total Tension in Pipe in KN: 482.7 Kilonewton --> 482700 Newton (Check conversion here)
Water Pressure in KN per Square Meter: 4.97 Kilonewton per Square Meter --> 4970 Pascal (Check conversion here)
Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
Unit Weight Of Water in KN per Cubic Meter: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_fw = sqrt((T_tkn-(P_wt*A_cs))*([g]/(γ_water*A_cs))) --> sqrt((482700-(4970*13))*([g]/(9810*13)))

Evaluating ... ...

V_fw = 5.67007819214947

STEP 3: Convert Result to Output's Unit

5.67007819214947 Meter per Second --> No Conversion Required

FINAL ANSWER

5.67007819214947 ≈ 5.670078 Meter per Second <-- Velocity of Flowing Water

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Environmental Engineering » Conveyance of Water » Stresses in Pipes » Stresses at Bends » Velocity of Flow of Water given Total Tension in Pipe

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 15 Stresses at Bends Calculators

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 Liquid in Pipe))*sin((Angle of Bend in Environmental Engi.)/(2)))

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)))

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 Liquid in Pipe*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))))

Head of Water given Buttress Resistance

Go Head of 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)

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 in Pipe in KN/Cross-Sectional Area)-((Unit Weight Of Water in KN per Cubic Meter*(Velocity of Flowing Water^2))/[g])

Velocity of Flow of Water given Total Tension in Pipe Formula

What is 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. The length of the flow velocity vector is the flow speed and is a scalar.

How to Calculate Velocity of Flow of Water given Total Tension in Pipe?

Velocity of Flow of Water given Total Tension in Pipe calculator uses 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))) to calculate the Velocity of Flowing Water, The Velocity of Flow of Water given Total Tension in Pipe is defined as the value of velocity of flow of water when we have prior information of other parameters used. Velocity of Flowing Water is denoted by V_fw symbol.

How to calculate Velocity of Flow of Water given Total Tension in Pipe using this online calculator? To use this online calculator for Velocity of Flow of Water given Total Tension in Pipe, enter Total Tension in Pipe in KN (T_tkn), Water Pressure in KN per Square Meter (P_wt), Cross-Sectional Area (A_cs) & Unit Weight Of Water in KN per Cubic Meter (γ_water) and hit the calculate button. Here is how the Velocity of Flow of Water given Total Tension in Pipe calculation can be explained with given input values -> 5.670078 = sqrt((482700-(4970*13))*([g]/(9810*13))).

FAQ

What is Velocity of Flow of Water given Total Tension in Pipe?

The Velocity of Flow of Water given Total Tension in Pipe is defined as the value of velocity of flow of water when we have prior information of other parameters used and is represented as V_fw = sqrt((T_tkn-(P_wt*A_cs))*([g]/(γ_water*A_cs))) or 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))). Total Tension in Pipe in KN is defined as the force that tries to elongate a pipe in KN, Water Pressure in KN per Square Meter is a force that makes a flow of water strong or weak, 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 & Unit Weight Of Water in KN per Cubic Meter is the weight of water per unit volume of water.

How to calculate Velocity of Flow of Water given Total Tension in Pipe?

The Velocity of Flow of Water given Total Tension in Pipe is defined as the value of velocity of flow of water when we have prior information of other parameters used is calculated using 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))). To calculate Velocity of Flow of Water given Total Tension in Pipe, you need Total Tension in Pipe in KN (T_tkn), Water Pressure in KN per Square Meter (P_wt), Cross-Sectional Area (A_cs) & Unit Weight Of Water in KN per Cubic Meter (γ_water). With our tool, you need to enter the respective value for Total Tension in Pipe in KN, Water Pressure in KN per Square Meter, Cross-Sectional Area & Unit Weight Of Water in KN per Cubic Meter 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 Total Tension in Pipe in KN, Water Pressure in KN per Square Meter, Cross-Sectional Area & Unit Weight Of Water in KN per Cubic Meter. 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 = (([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 Liquid in Pipe*Unit Weight Of Water in KN per Cubic Meter)))

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