Head at Entrance of Section given Discharge Flow through Channel Calculator

✖The Loss of Head at Entrance of a pipe is the loss that occurs when a liquid flows from a large tank into a pipe.ⓘ Loss of Head at Entrance [h_i]			+10% -10%
✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge of Channel [Q]			+10% -10%
✖The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖Cross Section Area 1 is the area of cross section at the inlet of the structure (venturimeter or pipe).ⓘ Cross Section Area 1 [A_i]			+10% -10%
✖Cross Section Area 2 is defined as the area of cross-section at the throat (venturimeter) of the structure.ⓘ Cross Section Area 2 [A_f]			+10% -10%

✖The Loss of Head at Exit of a pipe is due to the velocity of liquid dissipated in the form of a free jet.ⓘ Head at Entrance of Section given Discharge Flow through Channel [h_o]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Metering Flumes and Momentum in Open Channel Flow Specific Force Formulas PDF PDF Image

Head at Entrance of Section given Discharge Flow through Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Loss of Head at Exit = Loss of Head at Entrance-(Discharge of Channel/(Coefficient of Discharge*Cross Section Area 1*Cross Section Area 2*(sqrt(2*[g]/(Cross Section Area 1^2-Cross Section Area 2^2)))))^2
h_o = h_i-(Q/(C_d*A_i*A_f*(sqrt(2*[g]/(A_i^2-A_f^2)))))^2
This formula uses 1 Constants, 1 Functions, 6 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

Loss of Head at Exit - (Measured in Meter) - The Loss of Head at Exit of a pipe is due to the velocity of liquid dissipated in the form of a free jet.
Loss of Head at Entrance - (Measured in Meter) - The Loss of Head at Entrance of a pipe is the loss that occurs when a liquid flows from a large tank into a pipe.
Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
Cross Section Area 1 - (Measured in Square Meter) - Cross Section Area 1 is the area of cross section at the inlet of the structure (venturimeter or pipe).
Cross Section Area 2 - (Measured in Square Meter) - Cross Section Area 2 is defined as the area of cross-section at the throat (venturimeter) of the structure.

STEP 1: Convert Input(s) to Base Unit

Loss of Head at Entrance: 20 Meter --> 20 Meter No Conversion Required
Discharge of Channel: 14 Cubic Meter per Second --> 14 Cubic Meter per Second No Conversion Required
Coefficient of Discharge: 0.66 --> No Conversion Required
Cross Section Area 1: 7.1 Square Meter --> 7.1 Square Meter No Conversion Required
Cross Section Area 2: 1.8 Square Meter --> 1.8 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_o = h_i-(Q/(C_d*A_i*A_f*(sqrt(2*[g]/(A_i^2-A_f^2)))))^2 --> 20-(14/(0.66*7.1*1.8*(sqrt(2*[g]/(7.1^2-1.8^2)))))^2

Evaluating ... ...

h_o = 13.3744536326731

STEP 3: Convert Result to Output's Unit

13.3744536326731 Meter --> No Conversion Required

FINAL ANSWER

13.3744536326731 ≈ 13.37445 Meter <-- Loss of Head at Exit

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Flow in Open Channels » Metering Flumes and Momentum in Open Channel Flow Specific Force » Metering Flumes » Head at Entrance of Section given Discharge Flow through Channel

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!

< Metering Flumes Calculators

Coefficient of Discharge through Flume given Discharge Flow through Channel

LaTeX Go Coefficient of Discharge = (Discharge of Channel/(Cross Section Area 1*Cross Section Area 2)*(sqrt(((Cross Section Area 1^2)-(Cross Section Area 2^2))/(2*[g]*(Loss of Head at Entrance-Loss of Head at Exit)))))

Discharge Flow through Channel

LaTeX Go Discharge of Channel = (Coefficient of Discharge*Cross Section Area 1*Cross Section Area 2)*(sqrt(2*[g]*(Loss of Head at Entrance-Loss of Head at Exit)/((Cross Section Area 1^2)-(Cross Section Area 2^2))))

Head at Entrance of Section given Discharge Flow through Channel

LaTeX Go Loss of Head at Exit = Loss of Head at Entrance-(Discharge of Channel/(Coefficient of Discharge*Cross Section Area 1*Cross Section Area 2*(sqrt(2*[g]/(Cross Section Area 1^2-Cross Section Area 2^2)))))^2

Head at Entrance given Discharge through Channel

LaTeX Go Loss of Head at Entrance = (Discharge of Channel/(Coefficient of Discharge*Cross Section Area 1*Cross Section Area 2*(sqrt(2*[g]/(Cross Section Area 1^2-Cross Section Area 2^2)))))^2+Loss of Head at Exit

Head at Entrance of Section given Discharge Flow through Channel 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 Head at Entrance of Section given Discharge Flow through Channel?

Head at Entrance of Section given Discharge Flow through Channel calculator uses Loss of Head at Exit = Loss of Head at Entrance-(Discharge of Channel/(Coefficient of Discharge*Cross Section Area 1*Cross Section Area 2*(sqrt(2*[g]/(Cross Section Area 1^2-Cross Section Area 2^2)))))^2 to calculate the Loss of Head at Exit, The Head at Entrance of Section given Discharge flow through Channel is defined as head at section in length of pipe. Loss of Head at Exit is denoted by h_o symbol.

How to calculate Head at Entrance of Section given Discharge Flow through Channel using this online calculator? To use this online calculator for Head at Entrance of Section given Discharge Flow through Channel, enter Loss of Head at Entrance (h_i), Discharge of Channel (Q), Coefficient of Discharge (C_d), Cross Section Area 1 (A_i) & Cross Section Area 2 (A_f) and hit the calculate button. Here is how the Head at Entrance of Section given Discharge Flow through Channel calculation can be explained with given input values -> 13.37445 = 20-(14/(0.66*7.1*1.8*(sqrt(2*[g]/(7.1^2-1.8^2)))))^2.

FAQ

What is Head at Entrance of Section given Discharge Flow through Channel?

The Head at Entrance of Section given Discharge flow through Channel is defined as head at section in length of pipe and is represented as h_o = h_i-(Q/(C_d*A_i*A_f*(sqrt(2*[g]/(A_i^2-A_f^2)))))^2 or Loss of Head at Exit = Loss of Head at Entrance-(Discharge of Channel/(Coefficient of Discharge*Cross Section Area 1*Cross Section Area 2*(sqrt(2*[g]/(Cross Section Area 1^2-Cross Section Area 2^2)))))^2. The Loss of Head at Entrance of a pipe is the loss that occurs when a liquid flows from a large tank into a pipe, Discharge of Channel is the rate of flow of a liquid, The Coefficient of Discharge is ratio of actual discharge to theoretical discharge, Cross Section Area 1 is the area of cross section at the inlet of the structure (venturimeter or pipe) & Cross Section Area 2 is defined as the area of cross-section at the throat (venturimeter) of the structure.

How to calculate Head at Entrance of Section given Discharge Flow through Channel?

The Head at Entrance of Section given Discharge flow through Channel is defined as head at section in length of pipe is calculated using Loss of Head at Exit = Loss of Head at Entrance-(Discharge of Channel/(Coefficient of Discharge*Cross Section Area 1*Cross Section Area 2*(sqrt(2*[g]/(Cross Section Area 1^2-Cross Section Area 2^2)))))^2. To calculate Head at Entrance of Section given Discharge Flow through Channel, you need Loss of Head at Entrance (h_i), Discharge of Channel (Q), Coefficient of Discharge (C_d), Cross Section Area 1 (A_i) & Cross Section Area 2 (A_f). With our tool, you need to enter the respective value for Loss of Head at Entrance, Discharge of Channel, Coefficient of Discharge, Cross Section Area 1 & Cross Section Area 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search