Head at Entrance given Discharge through Channel Calculator

✖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.ⓘ Loss of Head at Exit [h_o]			+10% -10%

✖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.ⓘ Head at Entrance given Discharge through Channel [h_i]

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Head at Entrance given Discharge through Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
h_i = (Q/(C_d*A_i*A_f*(sqrt(2*[g]/(A_i^2-A_f^2)))))^2+h_o
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 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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Loss of Head at Exit: 15.1 Meter --> 15.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_i = (Q/(C_d*A_i*A_f*(sqrt(2*[g]/(A_i^2-A_f^2)))))^2+h_o --> (14/(0.66*7.1*1.8*(sqrt(2*[g]/(7.1^2-1.8^2)))))^2+15.1

Evaluating ... ...

h_i = 21.7255463673269

STEP 3: Convert Result to Output's Unit

21.7255463673269 Meter --> No Conversion Required

FINAL ANSWER

21.7255463673269 ≈ 21.72555 Meter <-- Loss of Head at Entrance

(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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< 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 given Discharge 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 given Discharge through Channel?

Head at Entrance given Discharge through Channel calculator uses 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 to calculate the Loss of Head at Entrance, The Head at Entrance given Discharge through Channel is defined as head at section in length of pipe. Loss of Head at Entrance is denoted by h_i symbol.

How to calculate Head at Entrance given Discharge through Channel using this online calculator? To use this online calculator for Head at Entrance given Discharge through Channel, enter Discharge of Channel (Q), Coefficient of Discharge (C_d), Cross Section Area 1 (A_i), Cross Section Area 2 (A_f) & Loss of Head at Exit (h_o) and hit the calculate button. Here is how the Head at Entrance given Discharge through Channel calculation can be explained with given input values -> 21.72555 = (14/(0.66*7.1*1.8*(sqrt(2*[g]/(7.1^2-1.8^2)))))^2+15.1.

FAQ

What is Head at Entrance given Discharge through Channel?

The Head at Entrance given Discharge through Channel is defined as head at section in length of pipe and is represented as h_i = (Q/(C_d*A_i*A_f*(sqrt(2*[g]/(A_i^2-A_f^2)))))^2+h_o or 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. 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 & The Loss of Head at Exit of a pipe is due to the velocity of liquid dissipated in the form of a free jet.

How to calculate Head at Entrance given Discharge through Channel?

The Head at Entrance given Discharge through Channel is defined as head at section in length of pipe is calculated using 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. To calculate Head at Entrance given Discharge through Channel, you need Discharge of Channel (Q), Coefficient of Discharge (C_d), Cross Section Area 1 (A_i), Cross Section Area 2 (A_f) & Loss of Head at Exit (h_o). With our tool, you need to enter the respective value for Discharge of Channel, Coefficient of Discharge, Cross Section Area 1, Cross Section Area 2 & Loss of Head at Exit 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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