Discharge Coefficient with known discharge Calculator

✖The Theoretical Discharge is given by the theoretical area and velocity.ⓘ Theoretical Discharge [Q_th]			+10% -10%
✖The Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function.ⓘ Integration Constant [c]			+10% -10%
✖Depth is the distance from the top or surface to the bottom of something.ⓘ Depth [D]			+10% -10%

✖Discharge coefficient is the ratio of flow rate at exit to flow rate at inlet.ⓘ Discharge Coefficient with known discharge [C_D]

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Formula

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Discharge Coefficient with known discharge

Formula

`"C"_{"D"} = log("Q"_{"th"}/"c","D")`

Example

`"-0.213306"=log("0.04m³/s"/"6.9","3m")`

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Discharge Coefficient with known discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge coefficient = log(Theoretical Discharge/Integration Constant,Depth)
C_D = log(Q_th/c,D)
This formula uses 1 Functions, 4 Variables

Functions Used

log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables Used

Discharge coefficient - Discharge coefficient is the ratio of flow rate at exit to flow rate at inlet.
Theoretical Discharge - (Measured in Cubic Meter per Second) - The Theoretical Discharge is given by the theoretical area and velocity.
Integration Constant - The Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function.
Depth - (Measured in Meter) - Depth is the distance from the top or surface to the bottom of something.

STEP 1: Convert Input(s) to Base Unit

Theoretical Discharge: 0.04 Cubic Meter per Second --> 0.04 Cubic Meter per Second No Conversion Required
Integration Constant: 6.9 --> No Conversion Required
Depth: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_D = log(Q_th/c,D) --> log(0.04/6.9,3)

Evaluating ... ...

C_D = -0.213306321479152

STEP 3: Convert Result to Output's Unit

-0.213306321479152 --> No Conversion Required

FINAL ANSWER

-0.213306321479152 ≈ -0.213306 <-- Discharge coefficient

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Sewage » Constant Velocity Horizontal Flow Grit Channels » Design of Parabolic Grit Chamber » Parabolic Grit Chamber » Discharge in Channel » Discharge Coefficient with known discharge

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Discharge Coefficient with known discharge Formula

Discharge coefficient = log(Theoretical Discharge/Integration Constant,Depth)
C_D = log(Q_th/c,D)

What is discharge coefficient ?

The discharge coefficient (also known as coefficient of discharge or efflux coefficient) is the ratio of the actual discharge to the theoretical discharge, i.e., the ratio of the mass flow rate at the discharge end of the nozzle to that of an ideal nozzle which expands an identical.

How to Calculate Discharge Coefficient with known discharge?

Discharge Coefficient with known discharge calculator uses Discharge coefficient = log(Theoretical Discharge/Integration Constant,Depth) to calculate the Discharge coefficient, The Discharge Coefficient with known Discharge is Given is the ratio of the actual discharge to the theoretical discharge. Discharge coefficient is denoted by C_D symbol.

How to calculate Discharge Coefficient with known discharge using this online calculator? To use this online calculator for Discharge Coefficient with known discharge, enter Theoretical Discharge (Q_th), Integration Constant (c) & Depth (D) and hit the calculate button. Here is how the Discharge Coefficient with known discharge calculation can be explained with given input values -> -0.156374 = log(0.04/6.9,3).

FAQ

What is Discharge Coefficient with known discharge?

The Discharge Coefficient with known Discharge is Given is the ratio of the actual discharge to the theoretical discharge and is represented as C_D = log(Q_th/c,D) or Discharge coefficient = log(Theoretical Discharge/Integration Constant,Depth). The Theoretical Discharge is given by the theoretical area and velocity, The Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function & Depth is the distance from the top or surface to the bottom of something.

How to calculate Discharge Coefficient with known discharge?

The Discharge Coefficient with known Discharge is Given is the ratio of the actual discharge to the theoretical discharge is calculated using Discharge coefficient = log(Theoretical Discharge/Integration Constant,Depth). To calculate Discharge Coefficient with known discharge, you need Theoretical Discharge (Q_th), Integration Constant (c) & Depth (D). With our tool, you need to enter the respective value for Theoretical Discharge, Integration Constant & Depth 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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