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]

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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: 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)
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((1500000/((2*13)*sin((0.62831853071784)/(2)))-72010)*([g]/9810))

Evaluating ... ...

V_fw = 10.7073369923734

STEP 3: Convert Result to Output's Unit

10.7073369923734 Meter per Second --> No Conversion Required

FINAL ANSWER

10.7073369923734 ≈ 10.70734 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 Buttress Resistance

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Stresses at Bends Calculators

Buttress Resistance using Head of Water

LaTeX 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)))

Angle of Bend given Head of Water and Buttress Resistance

LaTeX 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))))

Buttress Resistance using Angle of Bend

LaTeX 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

Velocity of Flow of Water given Buttress Resistance Formula

LaTeX Go

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 formula is defined as the value of 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, considering the buttress resistance. 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((1500000/((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 formula is defined as the value of 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, considering the buttress resistance 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 formula is defined as the value of 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, considering the buttress resistance 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 the Liquid*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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