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Volumetric flow rate of vena contracta in terms of contraction and velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
volumetric_flow_rate = Coefficient of contraction*Coefficient of velocity*Area*sqrt(2*Acceleration Due To Gravity*Head)
V = Cc*Cv*A*sqrt(2*g*H)
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Coefficient of contraction- The Coefficient of contraction is defined as the ratio between the area of the jet at the vena contracta and the area of the orifice.
Coefficient of velocity- The Coefficient of velocity is the ratio of actual velocity to theoretical velocity.
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
Acceleration Due To Gravity - The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force. (Measured in Meter per Square Second)
Head - Head is defined as the height of water columns. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Coefficient of contraction: 10 --> No Conversion Required
Coefficient of velocity: 10 --> No Conversion Required
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Acceleration Due To Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Head: 1 Meter --> 1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = Cc*Cv*A*sqrt(2*g*H) --> 10*10*50*sqrt(2*9.8*1)
Evaluating ... ...
V = 22135.9436211787
STEP 3: Convert Result to Output's Unit
22135.9436211787 Meter³ per Second --> No Conversion Required
FINAL ANSWER
22135.9436211787 Meter³ per Second <-- Volumetric flow rate
(Calculation completed in 00.016 seconds)

10+ Fluid Mechanics Calculators

Terminal Velocity
terminal_velocity = (2/9)*Radius^2*(Density of the first phase-Density of the second phase)*Acceleration Due To Gravity/Dynamic viscosity Go
Poiseuille's Formula
feed_flow_rate_volumetric = Pressure change*(pi/8)*(Radius^4)/(Dynamic viscosity*Length) Go
Center of Gravity
centre_of_gravity = Moment of Inertia/(Volume*(Centre of Buoyancy+Metacenter)) Go
Center of Buoyancy
centre_of_buoyancy = Moment of Inertia/(Volume*Centre of gravity)-Metacenter Go
Metacenter
metacenter = Moment of Inertia/(Volume*Centre of gravity)-Centre of Buoyancy Go
Upthrust Force
upthrust_force = Volume Immersed*Acceleration Due To Gravity*Liquid Density Go
Viscous Stress
viscous_stress = Dynamic viscosity*Velocity Gradient/Fluid Thickness Go
Turbulence
turbulent_stress = Density*Dynamic viscosity*Fluid Velocity Go
Knudsen Number
knudsen_number = Mean free path of molecule/Characteristic length of flow Go
Kinematic viscosity
kinematic_viscosity = Dynamic viscosity/Mass Density Go

Volumetric flow rate of vena contracta in terms of contraction and velocity Formula

volumetric_flow_rate = Coefficient of contraction*Coefficient of velocity*Area*sqrt(2*Acceleration Due To Gravity*Head)
V = Cc*Cv*A*sqrt(2*g*H)

What does coefficient of contraction mean?

The coefficient of contraction is defined as the ratio between the area of the jet at the vena contracta and the area of the orifice. ... The typical value may be taken as 0.611 for a sharp orifice (concentric with the flow channel). The smaller the value, the more effect the vena contracta has.

What is the coefficient of velocity?

The ratio of the actual velocity to the theoretical velocity of a fluid jet. The ratio of the actual velocity of gas emerging from a nozzle to the velocity calculated under ideal conditions; it is less than 1 because of friction losses. Also known as coefficient of velocity.

How to Calculate Volumetric flow rate of vena contracta in terms of contraction and velocity?

Volumetric flow rate of vena contracta in terms of contraction and velocity calculator uses volumetric_flow_rate = Coefficient of contraction*Coefficient of velocity*Area*sqrt(2*Acceleration Due To Gravity*Head) to calculate the Volumetric flow rate, The Volumetric flow rate of vena contracta in terms of contraction and velocity formula is defined as the volume of fluid that passes per unit time. Volumetric flow rate is denoted by V symbol.

How to calculate Volumetric flow rate of vena contracta in terms of contraction and velocity using this online calculator? To use this online calculator for Volumetric flow rate of vena contracta in terms of contraction and velocity, enter Coefficient of contraction (Cc), Coefficient of velocity (Cv), Area (A), Acceleration Due To Gravity (g) & Head (H) and hit the calculate button. Here is how the Volumetric flow rate of vena contracta in terms of contraction and velocity calculation can be explained with given input values -> 1.913E+9 = 10*10*50*sqrt(2*9.8*1).

FAQ

What is Volumetric flow rate of vena contracta in terms of contraction and velocity?
The Volumetric flow rate of vena contracta in terms of contraction and velocity formula is defined as the volume of fluid that passes per unit time and is represented as V = Cc*Cv*A*sqrt(2*g*H) or volumetric_flow_rate = Coefficient of contraction*Coefficient of velocity*Area*sqrt(2*Acceleration Due To Gravity*Head). The Coefficient of contraction is defined as the ratio between the area of the jet at the vena contracta and the area of the orifice, The Coefficient of velocity is the ratio of actual velocity to theoretical velocity, The area is the amount of two-dimensional space taken up by an object, The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force & Head is defined as the height of water columns.
How to calculate Volumetric flow rate of vena contracta in terms of contraction and velocity?
The Volumetric flow rate of vena contracta in terms of contraction and velocity formula is defined as the volume of fluid that passes per unit time is calculated using volumetric_flow_rate = Coefficient of contraction*Coefficient of velocity*Area*sqrt(2*Acceleration Due To Gravity*Head). To calculate Volumetric flow rate of vena contracta in terms of contraction and velocity, you need Coefficient of contraction (Cc), Coefficient of velocity (Cv), Area (A), Acceleration Due To Gravity (g) & Head (H). With our tool, you need to enter the respective value for Coefficient of contraction, Coefficient of velocity, Area, Acceleration Due To Gravity & Head and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Volumetric flow rate?
In this formula, Volumetric flow rate uses Coefficient of contraction, Coefficient of velocity, Area, Acceleration Due To Gravity & Head. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • knudsen_number = Mean free path of molecule/Characteristic length of flow
  • kinematic_viscosity = Dynamic viscosity/Mass Density
  • terminal_velocity = (2/9)*Radius^2*(Density of the first phase-Density of the second phase)*Acceleration Due To Gravity/Dynamic viscosity
  • upthrust_force = Volume Immersed*Acceleration Due To Gravity*Liquid Density
  • metacenter = Moment of Inertia/(Volume*Centre of gravity)-Centre of Buoyancy
  • centre_of_buoyancy = Moment of Inertia/(Volume*Centre of gravity)-Metacenter
  • centre_of_gravity = Moment of Inertia/(Volume*(Centre of Buoyancy+Metacenter))
  • viscous_stress = Dynamic viscosity*Velocity Gradient/Fluid Thickness
  • feed_flow_rate_volumetric = Pressure change*(pi/8)*(Radius^4)/(Dynamic viscosity*Length)
  • turbulent_stress = Density*Dynamic viscosity*Fluid Velocity
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