Discharge Coefficient with known Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge Coefficient = -log(Theoretical Discharge/Integration Constant,Depth)
CD = -log(Qth/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 - 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: 4.04 Meter --> 4.04 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CD = -log(Qth/c,d) --> -log(0.04/6.9,4.04)
Evaluating ... ...
CD = 0.271094563752453
STEP 3: Convert Result to Output's Unit
0.271094563752453 --> No Conversion Required
FINAL ANSWER
0.271094563752453 0.271095 <-- Discharge Coefficient
(Calculation completed in 00.004 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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Discharge Coefficient with known Discharge Formula

​LaTeX ​Go
Discharge Coefficient = -log(Theoretical Discharge/Integration Constant,Depth)
CD = -log(Qth/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 formula is defined as the value of a dimensionless number used to describe the efficiency of flow through an opening or over a surface, such as weirs, orifices, and sluice gates. Discharge Coefficient is denoted by CD 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 (Qth), 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 -> 0.271095 = -log(0.04/6.9,4.04).

FAQ

What is Discharge Coefficient with known Discharge?
The Discharge Coefficient with known Discharge formula is defined as the value of a dimensionless number used to describe the efficiency of flow through an opening or over a surface, such as weirs, orifices, and sluice gates and is represented as CD = -log(Qth/c,d) or Discharge Coefficient = -log(Theoretical Discharge/Integration Constant,Depth). The Theoretical Discharge is given by the theoretical area and velocity, 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 formula is defined as the value of a dimensionless number used to describe the efficiency of flow through an opening or over a surface, such as weirs, orifices, and sluice gates is calculated using Discharge Coefficient = -log(Theoretical Discharge/Integration Constant,Depth). To calculate Discharge Coefficient with known Discharge, you need Theoretical Discharge (Qth), 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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