Area of Section given Energy Gradient Calculator

✖Discharge by Energy Gradient is rate of floe per unit time.ⓘ Discharge by Energy Gradient [Q_eg]			+10% -10%
✖Top Width is defined as width at top of section.ⓘ Top Width [T]			+10% -10%
✖Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum.ⓘ Hydraulic Gradient to Head Loss [i]			+10% -10%
✖The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.ⓘ Slope of Line [m]			+10% -10%

✖Wetted Surface Area is the total area of outer surface in contact with the surrounding water.ⓘ Area of Section given Energy Gradient [S]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Gradually Varied Flow in Channels Formulas PDF PDF Image

Area of Section given Energy Gradient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wetted Surface Area = (Discharge by Energy Gradient^2*Top Width/((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g])))^(1/3)
S = (Q_eg^2*T/((1-(i/m))*([g])))^(1/3)
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Wetted Surface Area - (Measured in Square Meter) - Wetted Surface Area is the total area of outer surface in contact with the surrounding water.
Discharge by Energy Gradient - (Measured in Cubic Meter per Second) - Discharge by Energy Gradient is rate of floe per unit time.
Top Width - (Measured in Meter) - Top Width is defined as width at top of section.
Hydraulic Gradient to Head Loss - Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum.
Slope of Line - The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.

STEP 1: Convert Input(s) to Base Unit

Discharge by Energy Gradient: 12.5 Cubic Meter per Second --> 12.5 Cubic Meter per Second No Conversion Required
Top Width: 2 Meter --> 2 Meter No Conversion Required
Hydraulic Gradient to Head Loss: 2.02 --> No Conversion Required
Slope of Line: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (Q_eg^2*T/((1-(i/m))*([g])))^(1/3) --> (12.5^2*2/((1-(2.02/4))*([g])))^(1/3)

Evaluating ... ...

S = 4.0078185315711

STEP 3: Convert Result to Output's Unit

4.0078185315711 Square Meter --> No Conversion Required

FINAL ANSWER

4.0078185315711 ≈ 4.007819 Square Meter <-- Wetted Surface Area

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Non uniform Flow in Channels » Gradually Varied Flow in Channels » Area of Section given Energy Gradient

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Gradually Varied Flow in Channels Calculators

Froude Number given Top Width

LaTeX Go Froude Number = sqrt(Discharge for GVF Flow^2*Top Width/([g]*Wetted Surface Area^3))

Froude Number given Slope of Dynamic Equation of Gradually Varied Flow

LaTeX Go Froude No by Dynamic Equation = sqrt(1-((Bed Slope of Channel-Energy Slope)/Slope of Line))

Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow

LaTeX Go Bed Slope of Channel = Energy Slope+(Slope of Line*(1-(Froude No by Dynamic Equation^2)))

Slope of Dynamic Equation of Gradually Varied Flows

LaTeX Go Slope of Line = (Bed Slope of Channel-Energy Slope)/(1-(Froude No by Dynamic Equation^2))

Area of Section given Energy Gradient Formula

LaTeX Go

Wetted Surface Area = (Discharge by Energy Gradient^2*Top Width/((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g])))^(1/3)
S = (Q_eg^2*T/((1-(i/m))*([g])))^(1/3)

What is Gradually Varied Flow?

Gradually varied. flow (GVF), which is a form of steady. nonuniform flow characterized by gradual variations in flow depth and velocity (small slopes and no abrupt changes) and a free surface that always remains smooth (no discontinuities or zigzags).

How to Calculate Area of Section given Energy Gradient?

Area of Section given Energy Gradient calculator uses Wetted Surface Area = (Discharge by Energy Gradient^2*Top Width/((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g])))^(1/3) to calculate the Wetted Surface Area, The Area of Section given Energy Gradient formula is defined as area of Section which is in contact with water. Wetted Surface Area is denoted by S symbol.

How to calculate Area of Section given Energy Gradient using this online calculator? To use this online calculator for Area of Section given Energy Gradient, enter Discharge by Energy Gradient (Q_eg), Top Width (T), Hydraulic Gradient to Head Loss (i) & Slope of Line (m) and hit the calculate button. Here is how the Area of Section given Energy Gradient calculation can be explained with given input values -> 4.007819 = (12.5^2*2/((1-(2.02/4))*([g])))^(1/3).

FAQ

What is Area of Section given Energy Gradient?

The Area of Section given Energy Gradient formula is defined as area of Section which is in contact with water and is represented as S = (Q_eg^2*T/((1-(i/m))*([g])))^(1/3) or Wetted Surface Area = (Discharge by Energy Gradient^2*Top Width/((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g])))^(1/3). Discharge by Energy Gradient is rate of floe per unit time, Top Width is defined as width at top of section, Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum & The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.

How to calculate Area of Section given Energy Gradient?

The Area of Section given Energy Gradient formula is defined as area of Section which is in contact with water is calculated using Wetted Surface Area = (Discharge by Energy Gradient^2*Top Width/((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g])))^(1/3). To calculate Area of Section given Energy Gradient, you need Discharge by Energy Gradient (Q_eg), Top Width (T), Hydraulic Gradient to Head Loss (i) & Slope of Line (m). With our tool, you need to enter the respective value for Discharge by Energy Gradient, Top Width, Hydraulic Gradient to Head Loss & Slope of Line 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 Wetted Surface Area?

In this formula, Wetted Surface Area uses Discharge by Energy Gradient, Top Width, Hydraulic Gradient to Head Loss & Slope of Line. We can use 2 other way(s) to calculate the same, which is/are as follows -

Wetted Surface Area = ((Discharge for GVF Flow^2*Top Width/([g]*Froude Number^2)))^(1/3)
Wetted Surface Area = ((Discharge for GVF Flow^2)/(2*[g]*(Total Energy in Open Channel-Depth of Flow)))^0.5

Home

FREE PDFs

🔍 Search