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

✖Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum.ⓘ Energy Gradient given Slope [i]

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Energy Gradient given Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

Hydraulic Gradient to Head Loss - Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum.
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.
Wetted Surface Area - (Measured in Square Meter) - Wetted Surface Area is the total area of outer surface in contact with the surrounding water.
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
Wetted Surface Area: 4.01 Square Meter --> 4.01 Square Meter No Conversion Required
Slope of Line: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

i = 2.02322964452475

STEP 3: Convert Result to Output's Unit

2.02322964452475 --> No Conversion Required

FINAL ANSWER

2.02322964452475 ≈ 2.02323 <-- Hydraulic Gradient to Head Loss

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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))

Energy Gradient given Slope Formula

LaTeX Go

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

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 Energy Gradient given Slope?

Energy Gradient given Slope calculator uses Hydraulic Gradient to Head Loss = (1-(Discharge by Energy Gradient^2*Top Width/([g]*Wetted Surface Area^3)))*Slope of Line to calculate the Hydraulic Gradient to Head Loss, The Energy Gradient given Slope formula is defined as slope of energy line in the channel taken at any point of channel. Hydraulic Gradient to Head Loss is denoted by i symbol.

How to calculate Energy Gradient given Slope using this online calculator? To use this online calculator for Energy Gradient given Slope, enter Discharge by Energy Gradient (Q_eg), Top Width (T), Wetted Surface Area (S) & Slope of Line (m) and hit the calculate button. Here is how the Energy Gradient given Slope calculation can be explained with given input values -> 2.008367 = (1-(12.5^2*2/([g]*4.01^3)))*4.

FAQ

What is Energy Gradient given Slope?

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

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

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

Hydraulic Gradient to Head Loss = Bed Slope of Channel-Energy Slope

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