Top Width given Energy Gradient Calculator

✖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.ⓘ Wetted Surface Area [S]			+10% -10%
✖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 given Energy Gradient [T]

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Top Width given Energy Gradient Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Hydraulic Gradient to Head Loss: 2.02 --> No Conversion Required
Slope of Line: 4 --> No Conversion Required
Wetted Surface Area: 4.01 Square Meter --> 4.01 Square Meter No Conversion Required
Discharge by Energy Gradient: 12.5 Cubic Meter per Second --> 12.5 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = ((1-(i/m))*([g]*S^3)/Q_eg^2) --> ((1-(2.02/4))*([g]*4.01^3)/12.5^2)

Evaluating ... ...

T = 2.00326759708411

STEP 3: Convert Result to Output's Unit

2.00326759708411 Meter --> No Conversion Required

FINAL ANSWER

2.00326759708411 ≈ 2.003268 Meter <-- Top Width

(Calculation completed in 00.006 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 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))

Top Width given Energy Gradient Formula

LaTeX Go

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

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 Top Width given Energy Gradient?

Top Width given Energy Gradient calculator uses Top Width = ((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Discharge by Energy Gradient^2) to calculate the Top Width, The Top Width given Energy Gradient formula is defined as width of channel at top surface of channel. Top Width is denoted by T symbol.

How to calculate Top Width given Energy Gradient using this online calculator? To use this online calculator for Top Width given Energy Gradient, enter Hydraulic Gradient to Head Loss (i), Slope of Line (m), Wetted Surface Area (S) & Discharge by Energy Gradient (Q_eg) and hit the calculate button. Here is how the Top Width given Energy Gradient calculation can be explained with given input values -> 1.988318 = ((1-(2.02/4))*([g]*4.01^3)/12.5^2).

FAQ

What is Top Width given Energy Gradient?

The Top Width given Energy Gradient formula is defined as width of channel at top surface of channel and is represented as T = ((1-(i/m))*([g]*S^3)/Q_eg^2) or Top Width = ((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Discharge by Energy Gradient^2). 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, Wetted Surface Area is the total area of outer surface in contact with the surrounding water & Discharge by Energy Gradient is rate of floe per unit time.

How to calculate Top Width given Energy Gradient?

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

In this formula, Top Width uses Hydraulic Gradient to Head Loss, Slope of Line, Wetted Surface Area & Discharge by Energy Gradient. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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