Discharge 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%
✖Top Width is defined as width at top of section.ⓘ Top Width [T]			+10% -10%

✖Discharge by Energy Gradient is rate of floe per unit time.ⓘ Discharge given Energy Gradient [Q_eg]

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Discharge given Energy Gradient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge by Energy Gradient = (((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Top Width))^0.5
Q_eg = (((1-(i/m))*([g]*S^3)/T))^0.5
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

Discharge by Energy Gradient - (Measured in Cubic Meter per Second) - Discharge by Energy Gradient is rate of floe per unit time.
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.
Top Width - (Measured in Meter) - Top Width is defined as width at top of section.

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
Top Width: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_eg = (((1-(i/m))*([g]*S^3)/T))^0.5 --> (((1-(2.02/4))*([g]*4.01^3)/2))^0.5

Evaluating ... ...

Q_eg = 12.5102070735138

STEP 3: Convert Result to Output's Unit

12.5102070735138 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

12.5102070735138 ≈ 12.51021 Cubic Meter per Second <-- Discharge by Energy Gradient

(Calculation completed in 00.004 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))

Discharge given Energy Gradient Formula

LaTeX Go

Discharge by Energy Gradient = (((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Top Width))^0.5
Q_eg = (((1-(i/m))*([g]*S^3)/T))^0.5

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 Discharge given Energy Gradient?

Discharge given Energy Gradient calculator uses Discharge by Energy Gradient = (((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Top Width))^0.5 to calculate the Discharge by Energy Gradient, The Discharge given Energy Gradient formula is defined as the amount of fluid in the channel in open channel section. Discharge by Energy Gradient is denoted by Q_eg symbol.

How to calculate Discharge given Energy Gradient using this online calculator? To use this online calculator for Discharge given Energy Gradient, enter Hydraulic Gradient to Head Loss (i), Slope of Line (m), Wetted Surface Area (S) & Top Width (T) and hit the calculate button. Here is how the Discharge given Energy Gradient calculation can be explained with given input values -> 12.46344 = (((1-(2.02/4))*([g]*4.01^3)/2))^0.5.

FAQ

What is Discharge given Energy Gradient?

The Discharge given Energy Gradient formula is defined as the amount of fluid in the channel in open channel section and is represented as Q_eg = (((1-(i/m))*([g]*S^3)/T))^0.5 or Discharge by Energy Gradient = (((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Top Width))^0.5. 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 & Top Width is defined as width at top of section.

How to calculate Discharge given Energy Gradient?

The Discharge given Energy Gradient formula is defined as the amount of fluid in the channel in open channel section is calculated using Discharge by Energy Gradient = (((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Top Width))^0.5. To calculate Discharge given Energy Gradient, you need Hydraulic Gradient to Head Loss (i), Slope of Line (m), Wetted Surface Area (S) & Top Width (T). With our tool, you need to enter the respective value for Hydraulic Gradient to Head Loss, Slope of Line, Wetted Surface Area & Top Width 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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