Head1 given Time Required to Lower Liquid Surface using Bazins Formula Calculator

✖Time interval is the time duration between two events/entities of interest.ⓘ Time Interval [Δt]			+10% -10%
✖Bazins Coefficient is the constant value obtained by Head.ⓘ Bazins Coefficient [m]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Cross-Sectional Area of Reservoir is the area of a reservoir that is obtained when a three-dimensional reservoir shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area of Reservoir [A_R]			+10% -10%
✖Head on Downstream of Weir pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures.ⓘ Head on Downstream of Weir [h₂]			+10% -10%

✖Head on Upstream of Weirr pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures.ⓘ Head1 given Time Required to Lower Liquid Surface using Bazins Formula [H_Upstream]

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Head1 given Time Required to Lower Liquid Surface using Bazins Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Head on Upstream of Weir = ((1/((Time Interval*Bazins Coefficient*sqrt(2*Acceleration due to Gravity))/(2*Cross-Sectional Area of Reservoir)-(1/sqrt(Head on Downstream of Weir))))^2)
H_Upstream = ((1/((Δt*m*sqrt(2*g))/(2*A_R)-(1/sqrt(h₂))))^2)
This formula uses 1 Functions, 6 Variables

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

Head on Upstream of Weir - (Measured in Meter) - Head on Upstream of Weirr pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures.
Time Interval - (Measured in Second) - Time interval is the time duration between two events/entities of interest.
Bazins Coefficient - Bazins Coefficient is the constant value obtained by Head.
Acceleration due to Gravity - (Measured in Meter per Square Second) - The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Cross-Sectional Area of Reservoir - (Measured in Square Meter) - Cross-Sectional Area of Reservoir is the area of a reservoir that is obtained when a three-dimensional reservoir shape is sliced perpendicular to some specified axis at a point.
Head on Downstream of Weir - (Measured in Meter) - Head on Downstream of Weir pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures.

STEP 1: Convert Input(s) to Base Unit

Time Interval: 1.25 Second --> 1.25 Second No Conversion Required
Bazins Coefficient: 0.407 --> No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Cross-Sectional Area of Reservoir: 13 Square Meter --> 13 Square Meter No Conversion Required
Head on Downstream of Weir: 5.1 Meter --> 5.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_Upstream = ((1/((Δt*m*sqrt(2*g))/(2*A_R)-(1/sqrt(h₂))))^2) --> ((1/((1.25*0.407*sqrt(2*9.8))/(2*13)-(1/sqrt(5.1))))^2)

Evaluating ... ...

H_Upstream = 7.88247677128312

STEP 3: Convert Result to Output's Unit

7.88247677128312 Meter --> No Conversion Required

FINAL ANSWER

7.88247677128312 ≈ 7.882477 Meter <-- Head on Upstream of Weir

(Calculation completed in 00.004 seconds)

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< Time Required to Empty a Reservoir with Rectangular Weir Calculators

Coefficient of Discharge for Time Required to Lower Liquid Surface

LaTeX Go Coefficient of Discharge = ((2*Cross-Sectional Area of Reservoir)/((2/3)*Time Interval*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir))

Length of Crest for time required to Lower Liquid Surface

LaTeX Go Length of Weir Crest = ((2*Cross-Sectional Area of Reservoir)/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Time Interval))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir))

Time Required to Lower Liquid Surface

LaTeX Go Time Interval = ((2*Cross-Sectional Area of Reservoir)/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir))

Cross Sectional Area given Time required to Lower Liquid Surface

LaTeX Go Cross-Sectional Area of Reservoir = (Time Interval*(2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest)/(2*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir)))

Head1 given Time Required to Lower Liquid Surface using Bazins Formula Formula

LaTeX Go

What does Head1 mean?

Head1 given Time Required to Lower Liquid Surface using Bazins Formula in fluid dynamics, head is concept that relates energy in incompressible fluid to height of equivalent static column.

How to Calculate Head1 given Time Required to Lower Liquid Surface using Bazins Formula?

Head1 given Time Required to Lower Liquid Surface using Bazins Formula calculator uses Head on Upstream of Weir = ((1/((Time Interval*Bazins Coefficient*sqrt(2*Acceleration due to Gravity))/(2*Cross-Sectional Area of Reservoir)-(1/sqrt(Head on Downstream of Weir))))^2) to calculate the Head on Upstream of Weir, Head1 given Time Required to Lower Liquid Surface using Bazins Formula in fluid dynamics, head is concept that relates energy in incompressible fluid to height of equivalent static column. Head on Upstream of Weir is denoted by H_Upstream symbol.

How to calculate Head1 given Time Required to Lower Liquid Surface using Bazins Formula using this online calculator? To use this online calculator for Head1 given Time Required to Lower Liquid Surface using Bazins Formula, enter Time Interval (Δt), Bazins Coefficient (m), Acceleration due to Gravity (g), Cross-Sectional Area of Reservoir (A_R) & Head on Downstream of Weir (h₂) and hit the calculate button. Here is how the Head1 given Time Required to Lower Liquid Surface using Bazins Formula calculation can be explained with given input values -> 7.882477 = ((1/((1.25*0.407*sqrt(2*9.8))/(2*13)-(1/sqrt(5.1))))^2).

FAQ

What is Head1 given Time Required to Lower Liquid Surface using Bazins Formula?

Head1 given Time Required to Lower Liquid Surface using Bazins Formula in fluid dynamics, head is concept that relates energy in incompressible fluid to height of equivalent static column and is represented as H_Upstream = ((1/((Δt*m*sqrt(2*g))/(2*A_R)-(1/sqrt(h₂))))^2) or Head on Upstream of Weir = ((1/((Time Interval*Bazins Coefficient*sqrt(2*Acceleration due to Gravity))/(2*Cross-Sectional Area of Reservoir)-(1/sqrt(Head on Downstream of Weir))))^2). Time interval is the time duration between two events/entities of interest, Bazins Coefficient is the constant value obtained by Head, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Cross-Sectional Area of Reservoir is the area of a reservoir that is obtained when a three-dimensional reservoir shape is sliced perpendicular to some specified axis at a point & Head on Downstream of Weir pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures.

How to calculate Head1 given Time Required to Lower Liquid Surface using Bazins Formula?

Head1 given Time Required to Lower Liquid Surface using Bazins Formula in fluid dynamics, head is concept that relates energy in incompressible fluid to height of equivalent static column is calculated using Head on Upstream of Weir = ((1/((Time Interval*Bazins Coefficient*sqrt(2*Acceleration due to Gravity))/(2*Cross-Sectional Area of Reservoir)-(1/sqrt(Head on Downstream of Weir))))^2). To calculate Head1 given Time Required to Lower Liquid Surface using Bazins Formula, you need Time Interval (Δt), Bazins Coefficient (m), Acceleration due to Gravity (g), Cross-Sectional Area of Reservoir (A_R) & Head on Downstream of Weir (h₂). With our tool, you need to enter the respective value for Time Interval, Bazins Coefficient, Acceleration due to Gravity, Cross-Sectional Area of Reservoir & Head on Downstream of Weir 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 Head on Upstream of Weir?

In this formula, Head on Upstream of Weir uses Time Interval, Bazins Coefficient, Acceleration due to Gravity, Cross-Sectional Area of Reservoir & Head on Downstream of Weir. We can use 2 other way(s) to calculate the same, which is/are as follows -

Head on Upstream of Weir = ((1/((1/sqrt(Head on Downstream of Weir))-(Time Interval*(2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest)/(2*Cross-Sectional Area of Reservoir)))^2)
Head on Upstream of Weir = (1/((1/Head on Downstream of Weir^(3/2))-((Time Interval*(8/15)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*tan(Theta/2))/((2/3)*Cross-Sectional Area of Reservoir))))^(2/3)

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