Volume of Liquid Considering Condition of Maximum Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Water = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)*Time Interval
Vw = sqrt((Acs^3)*[g]/T)*Δt
This formula uses 1 Constants, 1 Functions, 4 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
Volume of Water - (Measured in Cubic Meter) - Volume of water is the space that water takes in a container.
Cross-Sectional Area of Channel - (Measured in Square Meter) - Cross-Sectional Area of Channel 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.
Top Width - (Measured in Meter) - Top Width is defined as the width at the top of the section.
Time Interval - (Measured in Second) - Time interval is the time duration between two events/entities of interest.
STEP 1: Convert Input(s) to Base Unit
Cross-Sectional Area of Channel: 3.4 Square Meter --> 3.4 Square Meter No Conversion Required
Top Width: 2.1 Meter --> 2.1 Meter No Conversion Required
Time Interval: 1.25 Second --> 1.25 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vw = sqrt((Acs^3)*[g]/T)*Δt --> sqrt((3.4^3)*[g]/2.1)*1.25
Evaluating ... ...
Vw = 16.9347612791953
STEP 3: Convert Result to Output's Unit
16.9347612791953 Cubic Meter --> No Conversion Required
FINAL ANSWER
16.9347612791953 16.93476 Cubic Meter <-- Volume of Water
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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23 Specific Energy and Critical Depth Calculators

Discharge through Area
Go Discharge of Channel = sqrt(2*[g]*Cross-Sectional Area of Channel^2*(Total Energy-Depth of Flow))
Area of Section given Discharge
Go Cross-Sectional Area of Channel = Discharge of Channel/sqrt(2*[g]*(Total Energy-Depth of Flow))
Volume of Liquid Considering Condition of Maximum Discharge
Go Volume of Water = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)*Time Interval
Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section
Go Mean Velocity = sqrt((Total Energy-(Depth of Flow+Height above Datum))*2*[g])
Total Energy per unit Weight of Water in Flow Section given Discharge
Go Total Energy = Depth of Flow+(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g]))
Area of Section Considering Condition of Maximum Discharge
Go Cross-Sectional Area of Channel = (Discharge of Channel*Discharge of Channel*Top Width/[g])^(1/3)
Depth of Flow given Discharge
Go Depth of Flow = Total Energy-(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g]))
Discharge through Section Considering Condition of Minimum Specific Energy
Go Discharge of Channel = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)
Discharge through Section Considering Condition of Maximum Discharge
Go Discharge of Channel = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)
Top Width of Section Considering Condition of Maximum Discharge
Go Top Width = sqrt((Cross-Sectional Area of Channel^3)*[g]/Discharge of Channel)
Depth of Flow given Total Energy per Unit Weight of Water in Flow Section
Go Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))+Height above Datum)
Datum Height for Total Energy per unit Weight of Water in Flow Section
Go Height above Datum = Total Energy-(((Mean Velocity^2)/(2*[g]))+Depth of Flow)
Mean Velocity of Flow given Froude Number
Go Mean Velocity for Froude Number = Froude Number*sqrt(Diameter of Section*[g])
Froude Number given Velocity
Go Froude Number = Mean Velocity for Froude Number/sqrt([g]*Diameter of Section)
Total Energy per unit Weight of Water in Flow Section
Go Total Energy = ((Mean Velocity^2)/(2*[g]))+Depth of Flow+Height above Datum
Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum
Go Mean Velocity = sqrt((Total Energy-(Depth of Flow))*2*[g])
Diameter of Section given Froude Number
Go Diameter of Section = ((Mean Velocity for Froude Number/Froude Number)^2)/[g]
Area of Section of Open Channel Considering Condition of Minimum Specific Energy
Go Cross-Sectional Area of Channel = (Discharge of Channel*Top Width/[g])^(1/3)
Top Width of Section through Section Considering Condition of Minimum Specific Energy
Go Top Width = ((Cross-Sectional Area of Channel^3)*[g]/Discharge of Channel)
Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum
Go Total Energy = ((Mean Velocity for Froude Number^2)/(2*[g]))+Depth of Flow
Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum
Go Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g])))
Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy
Go Mean Velocity = sqrt([g]*Diameter of Section)
Diameter of Section through Section Considering Condition of Minimum Specific Energy
Go Diameter of Section = (Mean Velocity^2)/[g]

Volume of Liquid Considering Condition of Maximum Discharge Formula

Volume of Water = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)*Time Interval
Vw = sqrt((Acs^3)*[g]/T)*Δt

What is Rate of Flow?

In physics and engineering, in particular fluid dynamics, the volumetric flow rate is the volume of fluid which passes per unit time; usually it is represented by the symbol Q. The SI unit is cubic metres per second. Another unit used is standard cubic centimetres per minute. In hydrometry, it is known as discharge.

How to Calculate Volume of Liquid Considering Condition of Maximum Discharge?

Volume of Liquid Considering Condition of Maximum Discharge calculator uses Volume of Water = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)*Time Interval to calculate the Volume of Water, The Volume of Liquid Considering Condition of Maximum Discharge formula is defined as the amount of water in channel flow. Volume of Water is denoted by Vw symbol.

How to calculate Volume of Liquid Considering Condition of Maximum Discharge using this online calculator? To use this online calculator for Volume of Liquid Considering Condition of Maximum Discharge, enter Cross-Sectional Area of Channel (Acs), Top Width (T) & Time Interval (Δt) and hit the calculate button. Here is how the Volume of Liquid Considering Condition of Maximum Discharge calculation can be explained with given input values -> 156.927 = sqrt((3.4^3)*[g]/2.1)*1.25.

FAQ

What is Volume of Liquid Considering Condition of Maximum Discharge?
The Volume of Liquid Considering Condition of Maximum Discharge formula is defined as the amount of water in channel flow and is represented as Vw = sqrt((Acs^3)*[g]/T)*Δt or Volume of Water = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)*Time Interval. Cross-Sectional Area of Channel 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, Top Width is defined as the width at the top of the section & Time interval is the time duration between two events/entities of interest.
How to calculate Volume of Liquid Considering Condition of Maximum Discharge?
The Volume of Liquid Considering Condition of Maximum Discharge formula is defined as the amount of water in channel flow is calculated using Volume of Water = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)*Time Interval. To calculate Volume of Liquid Considering Condition of Maximum Discharge, you need Cross-Sectional Area of Channel (Acs), Top Width (T) & Time Interval (Δt). With our tool, you need to enter the respective value for Cross-Sectional Area of Channel, Top Width & Time Interval 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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