Discharge Rate of Liquid from Orifice in Tank Calculator

✖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).ⓘ Area of Orifice [a]			+10% -10%
✖The Height of Tank is the distance from the centre of orifice to the top of the tank.ⓘ Height of Tank [h]			+10% -10%

✖Flowrate is the volume of liquid flowing over unit area in unit time.ⓘ Discharge Rate of Liquid from Orifice in Tank [ν]

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Formula

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Discharge Rate of Liquid from Orifice in Tank

Formula

`"ν" = "a"*(sqrt(2*"[g]"*"h"))`

Example

`"89.12568m³/s"="9m²"*(sqrt(2*"[g]"*"5m"))`

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Discharge Rate of Liquid from Orifice in Tank Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flowrate = Area of Orifice*(sqrt(2*[g]*Height of Tank))
ν = a*(sqrt(2*[g]*h))
This formula uses 1 Constants, 1 Functions, 3 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

Flowrate - (Measured in Cubic Meter per Second) - Flowrate is the volume of liquid flowing over unit area in unit time.
Area of Orifice - (Measured in Square Meter) - 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).
Height of Tank - (Measured in Meter) - The Height of Tank is the distance from the centre of orifice to the top of the tank.

STEP 1: Convert Input(s) to Base Unit

Area of Orifice: 9 Square Meter --> 9 Square Meter No Conversion Required
Height of Tank: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ν = a*(sqrt(2*[g]*h)) --> 9*(sqrt(2*[g]*5))

Evaluating ... ...

ν = 89.1256781180373

STEP 3: Convert Result to Output's Unit

89.1256781180373 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

89.1256781180373 ≈ 89.12568 Cubic Meter per Second <-- Flowrate

(Calculation completed in 00.004 seconds)

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< 9 Basic Formulas Calculators

Hydrostatic Force on Curved Submerged Surface

Go Hydrostatic Force = sqrt((Density*[g]*Volume)^2+(Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area)^2)

Height of Capillary Rise or Fall

Go Height of Capillary Rise/Fall = 4*Surface Tension*cos(Angle of Contact between Liquid and Capillary Tube)/(Density*[g]*Diameter of Tube)

Viscosity using Viscometer

Go Dynamic Viscosity = ((Torque*Thickness of Fluid Layer)/(4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder))

Head Loss due to Friction

Go Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g])

Shear Force acting on Newtonian Fluid Layer

Go Shear Force = (Dynamic Viscosity*Contact Area*Velocity of Fluid)/(Distance Between Two Plates)

Hydrostatic Force on Horizontal Plane Submerged Surface

Go Hydrostatic Force = Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area

Discharge Rate of Liquid from Orifice in Tank

Go Flowrate = Area of Orifice*(sqrt(2*[g]*Height of Tank))

Momentum Diffusivity

Go Momentum Diffusivity = Dynamic Viscosity/Density

Fanning Friction Factor using Darcy Friction Factor

Go Fanning Friction Factor = Darcy Friction Factor/4

Discharge Rate of Liquid from Orifice in Tank Formula

Flowrate = Area of Orifice*(sqrt(2*[g]*Height of Tank))
ν = a*(sqrt(2*[g]*h))

How does an Orifice Work?

Orifice plates are a primary flow element, detecting the flow of a fluid passing through the plate by sensing the pressure drop across the plate. When a fluid flows through a restriction in a pipe, it creates a pressure difference between upstream and downstream of the restriction.

How to Calculate Discharge Rate of Liquid from Orifice in Tank?

Discharge Rate of Liquid from Orifice in Tank calculator uses Flowrate = Area of Orifice*(sqrt(2*[g]*Height of Tank)) to calculate the Flowrate, The Discharge Rate of Liquid from Orifice in Tank is the volumetric flow-rate of fluid through an orifice (hole) in a tank. Flowrate is denoted by ν symbol.

How to calculate Discharge Rate of Liquid from Orifice in Tank using this online calculator? To use this online calculator for Discharge Rate of Liquid from Orifice in Tank, enter Area of Orifice (a) & Height of Tank (h) and hit the calculate button. Here is how the Discharge Rate of Liquid from Orifice in Tank calculation can be explained with given input values -> 89.12568 = 9*(sqrt(2*[g]*5)).

FAQ

What is Discharge Rate of Liquid from Orifice in Tank?

The Discharge Rate of Liquid from Orifice in Tank is the volumetric flow-rate of fluid through an orifice (hole) in a tank and is represented as ν = a*(sqrt(2*[g]*h)) or Flowrate = Area of Orifice*(sqrt(2*[g]*Height of Tank)). 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 Height of Tank is the distance from the centre of orifice to the top of the tank.

How to calculate Discharge Rate of Liquid from Orifice in Tank?

The Discharge Rate of Liquid from Orifice in Tank is the volumetric flow-rate of fluid through an orifice (hole) in a tank is calculated using Flowrate = Area of Orifice*(sqrt(2*[g]*Height of Tank)). To calculate Discharge Rate of Liquid from Orifice in Tank, you need Area of Orifice (a) & Height of Tank (h). With our tool, you need to enter the respective value for Area of Orifice & Height of Tank 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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