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Volumetric flow rate of circular orifice Solution

STEP 0: Pre-Calculation Summary
Formula Used
volumetric_flow_rate = 0.62*Area of orifice*sqrt(2*Acceleration Due To Gravity*Head)
V = 0.62*a*sqrt(2*g*H)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area of orifice - The Area of orifice is often a pipe or tube of varying cross-sectional area, and it can be used to direct or modify the flow of a fluid (liquid or gas). (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
Area of orifice: 10 Square Meter --> 10 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 = 0.62*a*sqrt(2*g*H) --> 0.62*10*sqrt(2*9.8*1)
Evaluating ... ...
V = 27.4485700902615
STEP 3: Convert Result to Output's Unit
27.4485700902615 Meter³ per Second --> No Conversion Required
FINAL ANSWER
27.4485700902615 Meter³ per Second <-- Volumetric flow rate
(Calculation completed in 00.015 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 circular orifice Formula

volumetric_flow_rate = 0.62*Area of orifice*sqrt(2*Acceleration Due To Gravity*Head)
V = 0.62*a*sqrt(2*g*H)

What is meant by volumetric flow rate?

In physics and engineering, in particular fluid dynamics, the volumetric flow rate (also known as volume flow rate, rate of fluid flow, or volume velocity) is the volume of fluid which passes per unit time; usually it is represented by the symbol Q (sometimes V̇).

What is circular orifice?

Orifices are used as an emptying device for tanks. The classical discharge equation for circular orifice flow from a side of a large tank is where Q is the discharge, C d the discharge coefficient, d the orifice diameter, g the gravitational acceleration and h the depth of orifice centre below free surface.

How to Calculate Volumetric flow rate of circular orifice?

Volumetric flow rate of circular orifice calculator uses volumetric_flow_rate = 0.62*Area of orifice*sqrt(2*Acceleration Due To Gravity*Head) to calculate the Volumetric flow rate, The Volumetric flow rate of circular orifice formula is defined as the flow per unit time through circular orifice plate. Volumetric flow rate is denoted by V symbol.

How to calculate Volumetric flow rate of circular orifice using this online calculator? To use this online calculator for Volumetric flow rate of circular orifice, enter Area of orifice (a), Acceleration Due To Gravity (g) & Head (H) and hit the calculate button. Here is how the Volumetric flow rate of circular orifice calculation can be explained with given input values -> 2.372E+6 = 0.62*10*sqrt(2*9.8*1).

FAQ

What is Volumetric flow rate of circular orifice?
The Volumetric flow rate of circular orifice formula is defined as the flow per unit time through circular orifice plate and is represented as V = 0.62*a*sqrt(2*g*H) or volumetric_flow_rate = 0.62*Area of orifice*sqrt(2*Acceleration Due To Gravity*Head). The Area of orifice is often a pipe or tube of varying cross-sectional area, and it can be used to direct or modify the flow of a fluid (liquid or gas), 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 circular orifice?
The Volumetric flow rate of circular orifice formula is defined as the flow per unit time through circular orifice plate is calculated using volumetric_flow_rate = 0.62*Area of orifice*sqrt(2*Acceleration Due To Gravity*Head). To calculate Volumetric flow rate of circular orifice, you need Area of orifice (a), Acceleration Due To Gravity (g) & Head (H). With our tool, you need to enter the respective value for Area of orifice, 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 Area of orifice, 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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