Velocity of Flow of Water given Buttress Resistance Calculator

✖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%
✖Internal Water Pressure in Pipes is the force that pushes water through pipes.ⓘ Internal Water Pressure in Pipes [p_i]			+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 Buttress Resistance [V_fw]

⎘ Copy

👎

Formula

✖

Velocity of Flow of Water given Buttress Resistance

Formula

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

Example

`"5.749571m/s"=sqrt(("844.25kN"/((2*"13m²")*sin(("36.0°")/(2)))-"72.01kN/m²")*("[g]"/"9.81kN/m³"))`

Calculator

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF PDF Image

Velocity of Flow of Water given Buttress Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
V_fw = sqrt((P_BR/((2*A_cs)*sin((θ_b)/(2)))-p_i)*([g]/γ_water))
This formula uses 1 Constants, 2 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)
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.
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.
Internal Water Pressure in Pipes - (Measured in Pascal) - Internal Water Pressure in Pipes is the force that pushes water through pipes.
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

Buttress Resistance in Pipe: 844.25 Kilonewton --> 844250 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)
Internal Water Pressure in Pipes: 72.01 Kilonewton per Square Meter --> 72010 Pascal (Check conversion here)
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((P_BR/((2*A_cs)*sin((θ_b)/(2)))-p_i)*([g]/γ_water)) --> sqrt((844250/((2*13)*sin((0.62831853071784)/(2)))-72010)*([g]/9810))

Evaluating ... ...

V_fw = 5.74957116014752

STEP 3: Convert Result to Output's Unit

5.74957116014752 Meter per Second --> No Conversion Required

FINAL ANSWER

5.74957116014752 ≈ 5.749571 Meter per Second <-- Velocity of Flowing Water

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Conveyance of Water » Stresses in Pipes » Stresses at Bends » Velocity of Flow of Water given Buttress Resistance

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

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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 Buttress Resistance Formula

Why is Buttress Resistance Necessary?

Buttress resistance provides the external resisting force that must be exerted to overcome the outward thrust exerted on the pipe that otherwise would pull apart the pipe.

How to Calculate Velocity of Flow of Water given Buttress Resistance?

Velocity of Flow of Water given Buttress Resistance calculator uses 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)) to calculate the Velocity of Flowing Water, The Velocity of Flow of Water given Buttress Resistance is defined as the velocity of flow through the water pipe causing the centrifugal force to build up in the pipe that, if not overcome would cause the bursting of pipes longitudinally. Velocity of Flowing Water is denoted by V_fw symbol.

How to calculate Velocity of Flow of Water given Buttress Resistance using this online calculator? To use this online calculator for Velocity of Flow of Water given Buttress Resistance, enter Buttress Resistance in Pipe (P_BR), Cross-Sectional Area (A_cs), Angle of Bend in Environmental Engi. (θ_b), Internal Water Pressure in Pipes (p_i) & 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 Buttress Resistance calculation can be explained with given input values -> 5.749571 = sqrt((844250/((2*13)*sin((0.62831853071784)/(2)))-72010)*([g]/9810)).

FAQ

What is Velocity of Flow of Water given Buttress Resistance?

The Velocity of Flow of Water given Buttress Resistance is defined as the velocity of flow through the water pipe causing the centrifugal force to build up in the pipe that, if not overcome would cause the bursting of pipes longitudinally and is represented as V_fw = sqrt((P_BR/((2*A_cs)*sin((θ_b)/(2)))-p_i)*([g]/γ_water)) or 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)). 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, Internal Water Pressure in Pipes is the force that pushes water through pipes & 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 Buttress Resistance?

The Velocity of Flow of Water given Buttress Resistance is defined as the velocity of flow through the water pipe causing the centrifugal force to build up in the pipe that, if not overcome would cause the bursting of pipes longitudinally is calculated using 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)). To calculate Velocity of Flow of Water given Buttress Resistance, you need Buttress Resistance in Pipe (P_BR), Cross-Sectional Area (A_cs), Angle of Bend in Environmental Engi. (θ_b), Internal Water Pressure in Pipes (p_i) & Unit Weight Of Water in KN per Cubic Meter (γ_water). With our tool, you need to enter the respective value for Buttress Resistance in Pipe, Cross-Sectional Area, Angle of Bend in Environmental Engi, Internal Water Pressure in Pipes & 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 Buttress Resistance in Pipe, Cross-Sectional Area, Angle of Bend in Environmental Engi, Internal Water Pressure in Pipes & 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 = (([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)))
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)))

Home

FREE PDFs

🔍 Search