Discharge Per Unit Width of Channel given Conjugate Depths Calculator

✖Depth of Point 1 for Rectangular Channel is the depth of point below the free surface in a static mass of liquid.ⓘ Depth of Point 1 for Rectangular Channel [d_1R]			+10% -10%
✖Depth of Point 2 for Rectangular Channel is the depth of point below the free surface in a static mass of liquid.ⓘ Depth of Point 2 for Rectangular Channel [d_2R]			+10% -10%

✖The Discharge per Unit Width is the ratio of total discharge in the channel to the width considered.ⓘ Discharge Per Unit Width of Channel given Conjugate Depths [q]

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Discharge Per Unit Width of Channel given Conjugate Depths Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge per Unit Width = sqrt((Depth of Point 1 for Rectangular Channel*Depth of Point 2 for Rectangular Channel*(Depth of Point 1 for Rectangular Channel+Depth of Point 2 for Rectangular Channel))*[g]*0.5)
q = sqrt((d_1R*d_2R*(d_1R+d_2R))*[g]*0.5)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

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

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

Discharge per Unit Width - (Measured in Square Meter per Second) - The Discharge per Unit Width is the ratio of total discharge in the channel to the width considered.
Depth of Point 1 for Rectangular Channel - (Measured in Meter) - Depth of Point 1 for Rectangular Channel is the depth of point below the free surface in a static mass of liquid.
Depth of Point 2 for Rectangular Channel - (Measured in Meter) - Depth of Point 2 for Rectangular Channel is the depth of point below the free surface in a static mass of liquid.

STEP 1: Convert Input(s) to Base Unit

Depth of Point 1 for Rectangular Channel: 1.1 Meter --> 1.1 Meter No Conversion Required
Depth of Point 2 for Rectangular Channel: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = sqrt((d_1R*d_2R*(d_1R+d_2R))*[g]*0.5) --> sqrt((1.1*1.2*(1.1+1.2))*[g]*0.5)

Evaluating ... ...

q = 3.85830204882925

STEP 3: Convert Result to Output's Unit

3.85830204882925 Square Meter per Second --> No Conversion Required

FINAL ANSWER

3.85830204882925 ≈ 3.858302 Square Meter per Second <-- Discharge per Unit Width

(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Hydraulic Jump in Rectangular Channel Calculators

Conjugate Depth y1 given Discharge per Unit Width of Channel

LaTeX Go Depth of Point 1 for Rectangular Channel = 0.5*Depth of Point 2 for Rectangular Channel*(-1+sqrt(1+(8*(Discharge per Unit Width^2))/([g]*Depth of Point 2 for Rectangular Channel*Depth of Point 2 for Rectangular Channel*Depth of Point 2 for Rectangular Channel)))

Conjugate Depth y2 given Discharge per Unit Width of Channel

LaTeX Go Depth of Point 2 for Rectangular Channel = 0.5*Depth of Point 1 for Rectangular Channel*(-1+sqrt(1+(8*(Discharge per Unit Width^2))/([g]*Depth of Point 1 for Rectangular Channel*Depth of Point 1 for Rectangular Channel*Depth of Point 1 for Rectangular Channel)))

Discharge Per Unit Width of Channel given Conjugate Depths

LaTeX Go Discharge per Unit Width = sqrt((Depth of Point 1 for Rectangular Channel*Depth of Point 2 for Rectangular Channel*(Depth of Point 1 for Rectangular Channel+Depth of Point 2 for Rectangular Channel))*[g]*0.5)

Conjugate Depth y2 given Critical Depth

LaTeX Go Depth of Point 2 for Rectangular Channel = 0.5*Depth of Point 1 for Rectangular Channel*(-1+sqrt(1+(8*(Critical Depth of Weir^3))/(Depth of Point 1 for Rectangular Channel^3)))

Discharge Per Unit Width of Channel given Conjugate Depths Formula

LaTeX Go

What is Rate of Flow?

In physics and engineering, in particular fluid dynamics, the volumetric flow rate is the volume of fluid which passes per unit time; usually it is represented by the symbol Q. The SI unit is cubic metres per second. Another unit used is standard cubic centimetres per minute. In hydrometry, it is known as discharge.

How to Calculate Discharge Per Unit Width of Channel given Conjugate Depths?

Discharge Per Unit Width of Channel given Conjugate Depths calculator uses Discharge per Unit Width = sqrt((Depth of Point 1 for Rectangular Channel*Depth of Point 2 for Rectangular Channel*(Depth of Point 1 for Rectangular Channel+Depth of Point 2 for Rectangular Channel))*[g]*0.5) to calculate the Discharge per Unit Width, The Discharge Per Unit Width of Channel given Conjugate Depths is defined as the amount of fluid in the channel per unit width. Discharge per Unit Width is denoted by q symbol.

How to calculate Discharge Per Unit Width of Channel given Conjugate Depths using this online calculator? To use this online calculator for Discharge Per Unit Width of Channel given Conjugate Depths, enter Depth of Point 1 for Rectangular Channel (d_1R) & Depth of Point 2 for Rectangular Channel (d_2R) and hit the calculate button. Here is how the Discharge Per Unit Width of Channel given Conjugate Depths calculation can be explained with given input values -> 3.858302 = sqrt((1.1*1.2*(1.1+1.2))*[g]*0.5).

FAQ

What is Discharge Per Unit Width of Channel given Conjugate Depths?

The Discharge Per Unit Width of Channel given Conjugate Depths is defined as the amount of fluid in the channel per unit width and is represented as q = sqrt((d_1R*d_2R*(d_1R+d_2R))*[g]*0.5) or Discharge per Unit Width = sqrt((Depth of Point 1 for Rectangular Channel*Depth of Point 2 for Rectangular Channel*(Depth of Point 1 for Rectangular Channel+Depth of Point 2 for Rectangular Channel))*[g]*0.5). Depth of Point 1 for Rectangular Channel is the depth of point below the free surface in a static mass of liquid & Depth of Point 2 for Rectangular Channel is the depth of point below the free surface in a static mass of liquid.

How to calculate Discharge Per Unit Width of Channel given Conjugate Depths?

The Discharge Per Unit Width of Channel given Conjugate Depths is defined as the amount of fluid in the channel per unit width is calculated using Discharge per Unit Width = sqrt((Depth of Point 1 for Rectangular Channel*Depth of Point 2 for Rectangular Channel*(Depth of Point 1 for Rectangular Channel+Depth of Point 2 for Rectangular Channel))*[g]*0.5). To calculate Discharge Per Unit Width of Channel given Conjugate Depths, you need Depth of Point 1 for Rectangular Channel (d_1R) & Depth of Point 2 for Rectangular Channel (d_2R). With our tool, you need to enter the respective value for Depth of Point 1 for Rectangular Channel & Depth of Point 2 for Rectangular Channel 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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