Bazins Constant given Time Required to Lower Liquid Surface Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bazins Coefficient = ((2*Cross-Sectional Area of Reservoir)/(Time Interval*sqrt(2*Acceleration due to Gravity)))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir))
m = ((2*AR)/(Δt*sqrt(2*g)))*(1/sqrt(h2)-1/sqrt(HUpstream))
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
Bazins Coefficient - Bazins Coefficient is the constant value obtained by Head.
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.
Time Interval - (Measured in Second) - Time interval is the time duration between two events/entities of interest.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Cross-Sectional Area of Reservoir: 13 Square Meter --> 13 Square Meter No Conversion Required
Time Interval: 1.25 Second --> 1.25 Second No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Head on Downstream of Weir: 5.1 Meter --> 5.1 Meter No Conversion Required
Head on Upstream of Weir: 10.1 Meter --> 10.1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m = ((2*AR)/(Δt*sqrt(2*g)))*(1/sqrt(h2)-1/sqrt(HUpstream)) --> ((2*13)/(1.25*sqrt(2*9.8)))*(1/sqrt(5.1)-1/sqrt(10.1))
Evaluating ... ...
m = 0.602075156529631
STEP 3: Convert Result to Output's Unit
0.602075156529631 --> No Conversion Required
FINAL ANSWER
0.602075156529631 0.602075 <-- Bazins Coefficient
(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Warangal
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19 Time Required to Empty a Reservoir with Rectangular Weir Calculators

Coefficient of Discharge for Time Required to Lower Liquid Surface
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))
Cross Sectional Area given Time required to Lower Liquid Surface
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)))
Length of Crest for time required to Lower Liquid Surface
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
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))
Head given Time Required to Lower Liquid Surface using Francis Formula
Go Average Height of Downstream and Upstream = (((2*Cross-Sectional Area of Reservoir)/(1.84*Time Interval for Francis))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir))-Length of Weir Crest)/(-0.1*Number of End Contraction)
Length of Crest given Time Required to Lower Liquid Surface using Francis Formula
Go Length of Weir Crest = (((2*Cross-Sectional Area of Reservoir)/(1.84*Time Interval for Francis))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir)))+(0.1*Number of End Contraction*Average Height of Downstream and Upstream)
Time Required to Lower Liquid Surface using Francis Formula
Go Time Interval for Francis = ((2*Cross-Sectional Area of Reservoir)/(1.84*(Length of Weir Crest-(0.1*Number of End Contraction*Average Height of Downstream and Upstream))))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir))
Head1 given Time Required to Lower Liquid for Triangular Notch
Go 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)
Head1 given Time Required to Lower Liquid Surface
Go 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)
Coefficient of Discharge given Time required to Lower Liquid for Triangular Notch
Go Coefficient of Discharge = (((2/3)*Cross-Sectional Area of Reservoir)/((8/15)*Time Interval*sqrt(2*Acceleration due to Gravity)*tan(Theta/2)))*((1/Head on Downstream of Weir^(3/2))-(1/Head on Upstream of Weir^(3/2)))
Cross Sectional Area given Time required to Lower Liquid for Triangular Notch
Go Cross-Sectional Area of Reservoir = (Time Interval*(8/15)*Coefficient of Discharge* sqrt(2*Acceleration due to Gravity)*tan(Theta/2))/((2/3)*((1/Head on Downstream of Weir^(3/2))-(1/Head on Upstream of Weir^(3/2))))
Head2 given Time Required to Lower Liquid for Triangular Notch
Go Head on Downstream of Weir = (1/(((Time Interval*(8/15)*Coefficient of Discharge* sqrt(2*Acceleration due to Gravity)*tan(Theta/2))/((2/3)*Cross-Sectional Area of Reservoir))+(1/Head on Upstream of Weir^(3/2))))^(2/3)
Time Required to Lower Liquid Surface for Triangular Notch
Go Time Interval = (((2/3)*Cross-Sectional Area of Reservoir)/((8/15)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*tan(Theta/2)))*((1/Head on Downstream of Weir^(3/2))-(1/Head on Upstream of Weir^(3/2)))
Head2 given Time Required to Lower Liquid Surface
Go Head on Downstream of Weir = (1/((Time Interval*(2/3)*Coefficient of Discharge* sqrt(2*Acceleration due to Gravity)*Length of Weir Crest)/(2*Cross-Sectional Area of Reservoir)+(1/sqrt(Head on Upstream of Weir))))^2
Cross Sectional Area given time required to Lower Liquid Surface using Bazins Formula
Go Cross-Sectional Area of Reservoir = (Time Interval*Bazins Coefficient*sqrt(2*Acceleration due to Gravity))/((1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir))*2)
Bazins Constant given Time Required to Lower Liquid Surface
Go Bazins Coefficient = ((2*Cross-Sectional Area of Reservoir)/(Time Interval*sqrt(2*Acceleration due to Gravity)))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir))
Time Required to Lower Liquid Surface using Bazins Formula
Go Time Interval = ((2*Cross-Sectional Area of Reservoir)/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)))*(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
Go 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)
Head2 given Time Required to Lower Liquid Surface using Bazins Formula
Go Head on Downstream of Weir = (1/((Time Interval*Bazins Coefficient*sqrt(2*Acceleration due to Gravity))/(2*Cross-Sectional Area of Reservoir)+(1/sqrt(Head on Upstream of Weir))))^2

Bazins Constant given Time Required to Lower Liquid Surface Formula

Bazins Coefficient = ((2*Cross-Sectional Area of Reservoir)/(Time Interval*sqrt(2*Acceleration due to Gravity)))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir))
m = ((2*AR)/(Δt*sqrt(2*g)))*(1/sqrt(h2)-1/sqrt(HUpstream))

What does Bazins constant mean?

The Bazins constant given time required to lower liquid surface can be denoted as dependent on roughness of channel surface. More roughness of surface, higher is value of Bazin's Constant.

What are the uses of Bazin formula?

Bazin's formula is used to determine the average velocity of the fluid. It is normally used in open channel flow system. It relates the variables velocity, radius with coefficients such as roughness coefficient and discharge coefficient. This formula can also be utilized to determine discharge of flow.

How to Calculate Bazins Constant given Time Required to Lower Liquid Surface?

Bazins Constant given Time Required to Lower Liquid Surface calculator uses Bazins Coefficient = ((2*Cross-Sectional Area of Reservoir)/(Time Interval*sqrt(2*Acceleration due to Gravity)))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir)) to calculate the Bazins Coefficient, The Bazins constant given time required to lower liquid surface can be denoted as dependent on roughness of channel surface. More roughness of surface, higher is value of Bazin's Constant. Bazins Coefficient is denoted by m symbol.

How to calculate Bazins Constant given Time Required to Lower Liquid Surface using this online calculator? To use this online calculator for Bazins Constant given Time Required to Lower Liquid Surface, enter Cross-Sectional Area of Reservoir (AR), Time Interval (Δt), Acceleration due to Gravity (g), Head on Downstream of Weir (h2) & Head on Upstream of Weir (HUpstream) and hit the calculate button. Here is how the Bazins Constant given Time Required to Lower Liquid Surface calculation can be explained with given input values -> 0.602075 = ((2*13)/(1.25*sqrt(2*9.8)))*(1/sqrt(5.1)-1/sqrt(10.1)).

FAQ

What is Bazins Constant given Time Required to Lower Liquid Surface?
The Bazins constant given time required to lower liquid surface can be denoted as dependent on roughness of channel surface. More roughness of surface, higher is value of Bazin's Constant and is represented as m = ((2*AR)/(Δt*sqrt(2*g)))*(1/sqrt(h2)-1/sqrt(HUpstream)) or Bazins Coefficient = ((2*Cross-Sectional Area of Reservoir)/(Time Interval*sqrt(2*Acceleration due to Gravity)))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir)). 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, Time interval is the time duration between two events/entities of interest, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force, 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 Upstream of Weirr pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures.
How to calculate Bazins Constant given Time Required to Lower Liquid Surface?
The Bazins constant given time required to lower liquid surface can be denoted as dependent on roughness of channel surface. More roughness of surface, higher is value of Bazin's Constant is calculated using Bazins Coefficient = ((2*Cross-Sectional Area of Reservoir)/(Time Interval*sqrt(2*Acceleration due to Gravity)))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir)). To calculate Bazins Constant given Time Required to Lower Liquid Surface, you need Cross-Sectional Area of Reservoir (AR), Time Interval (Δt), Acceleration due to Gravity (g), Head on Downstream of Weir (h2) & Head on Upstream of Weir (HUpstream). With our tool, you need to enter the respective value for Cross-Sectional Area of Reservoir, Time Interval, Acceleration due to Gravity, Head on Downstream of Weir & Head on Upstream of Weir 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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