Length of Crest given Time Required to Lower Liquid Surface using Francis Formula Calculator

✖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%
✖Time Interval for Francis is calculated with the help of francis formula.ⓘ Time Interval for Francis [t_F]			+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.ⓘ Head on Upstream of Weir [H_Upstream]			+10% -10%
✖Number of End Contraction 1 can be described as the end contractions acting on a channel.ⓘ Number of End Contraction [n]			+10% -10%
✖Average Height of Downstream and Upstream is the height of downstream and upstream.ⓘ Average Height of Downstream and Upstream [H_Avg]			+10% -10%

✖Length of Weir Crest is the measurement or extent of Weir Crest from end to end.ⓘ Length of Crest given Time Required to Lower Liquid Surface using Francis Formula [L_w]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Time Required to Empty a Reservoir with Rectangular Weir Formulas PDF PDF Image

Length of Crest given Time Required to Lower Liquid Surface using Francis Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
L_w = (((2*A_R)/(1.84*t_F))*(1/sqrt(h₂)-1/sqrt(H_Upstream)))+(0.1*n*H_Avg)
This formula uses 1 Functions, 7 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

Length of Weir Crest - (Measured in Meter) - Length of Weir Crest is the measurement or extent of Weir Crest from end to end.
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 for Francis - (Measured in Second) - Time Interval for Francis is calculated with the help of francis formula.
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.
Number of End Contraction - Number of End Contraction 1 can be described as the end contractions acting on a channel.
Average Height of Downstream and Upstream - (Measured in Meter) - Average Height of Downstream and Upstream is the height of downstream and upstream.

STEP 1: Convert Input(s) to Base Unit

Cross-Sectional Area of Reservoir: 13 Square Meter --> 13 Square Meter No Conversion Required
Time Interval for Francis: 7.4 Second --> 7.4 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
Number of End Contraction: 4 --> No Conversion Required
Average Height of Downstream and Upstream: 5.5 Meter --> 5.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_w = (((2*A_R)/(1.84*t_F))*(1/sqrt(h₂)-1/sqrt(H_Upstream)))+(0.1*n*H_Avg) --> (((2*13)/(1.84*7.4))*(1/sqrt(5.1)-1/sqrt(10.1)))+(0.1*4*5.5)

Evaluating ... ...

L_w = 2.4447029546242

STEP 3: Convert Result to Output's Unit

2.4447029546242 Meter --> No Conversion Required

FINAL ANSWER

2.4447029546242 ≈ 2.444703 Meter <-- Length of Weir Crest

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Flow Over Notches and Weirs » Time Required to Empty a Reservoir with Rectangular Weir » Length of Crest given Time Required to Lower Liquid Surface using Francis Formula

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has verified this Calculator and 400+ more calculators!

< 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)))

Length of Crest given Time Required to Lower Liquid Surface using Francis Formula Formula

LaTeX Go

What is meant by Length of Crest?

Length of Crest given Time Required to Lower Liquid Surface using Francis Formula as it applies to area of reclamation can be defined as ' distance, measured along axis.

How to Calculate Length of Crest given Time Required to Lower Liquid Surface using Francis Formula?

Length of Crest given Time Required to Lower Liquid Surface using Francis Formula calculator uses 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) to calculate the Length of Weir Crest, Length of Crest given Time Required to Lower Liquid Surface using Francis Formula as it applies to area of reclamation can be defined as ' distance, measured along axis. Length of Weir Crest is denoted by L_w symbol.

How to calculate Length of Crest given Time Required to Lower Liquid Surface using Francis Formula using this online calculator? To use this online calculator for Length of Crest given Time Required to Lower Liquid Surface using Francis Formula, enter Cross-Sectional Area of Reservoir (A_R), Time Interval for Francis (t_F), Head on Downstream of Weir (h₂), Head on Upstream of Weir (H_Upstream), Number of End Contraction (n) & Average Height of Downstream and Upstream (H_Avg) and hit the calculate button. Here is how the Length of Crest given Time Required to Lower Liquid Surface using Francis Formula calculation can be explained with given input values -> 2.444703 = (((2*13)/(1.84*7.4))*(1/sqrt(5.1)-1/sqrt(10.1)))+(0.1*4*5.5).

FAQ

What is Length of Crest given Time Required to Lower Liquid Surface using Francis Formula?

Length of Crest given Time Required to Lower Liquid Surface using Francis Formula as it applies to area of reclamation can be defined as ' distance, measured along axis and is represented as L_w = (((2*A_R)/(1.84*t_F))*(1/sqrt(h₂)-1/sqrt(H_Upstream)))+(0.1*n*H_Avg) or 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). 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 for Francis is calculated with the help of francis formula, 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, Number of End Contraction 1 can be described as the end contractions acting on a channel & Average Height of Downstream and Upstream is the height of downstream and upstream.

How to calculate Length of Crest given Time Required to Lower Liquid Surface using Francis Formula?

Length of Crest given Time Required to Lower Liquid Surface using Francis Formula as it applies to area of reclamation can be defined as ' distance, measured along axis is calculated using 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). To calculate Length of Crest given Time Required to Lower Liquid Surface using Francis Formula, you need Cross-Sectional Area of Reservoir (A_R), Time Interval for Francis (t_F), Head on Downstream of Weir (h₂), Head on Upstream of Weir (H_Upstream), Number of End Contraction (n) & Average Height of Downstream and Upstream (H_Avg). With our tool, you need to enter the respective value for Cross-Sectional Area of Reservoir, Time Interval for Francis, Head on Downstream of Weir, Head on Upstream of Weir, Number of End Contraction & Average Height of Downstream and Upstream 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 Length of Weir Crest?

In this formula, Length of Weir Crest uses Cross-Sectional Area of Reservoir, Time Interval for Francis, Head on Downstream of Weir, Head on Upstream of Weir, Number of End Contraction & Average Height of Downstream and Upstream. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

Home

FREE PDFs

🔍 Search