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 Meter/Second²
Functions Used
sqrt - Squre root function, 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
89.1256781180373 Cubic Meter per Second <-- Flowrate
(Calculation completed in 00.031 seconds)
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< 9 Basic Formulas Calculators

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Height of Capillary Rise or Fall
Height of Capillary Rise/Fall = 4*Surface Tension*cos(Angle of Contact between Liquid and Capillary Tube)/(Density*[g]*Diameter of Tube) Go
Viscosity using Viscometer
Dynamic Viscosity = ((Torque*Thickness of Fluid Layer)/(4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder)) Go
Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g]) Go
Shear Force acting on Newtonian Fluid Layer
Shear Force = (Dynamic Viscosity*Contact Area*Velocity of Fluid)/(Distance Between Two Plates) Go
Hydrostatic Force on Horizontal Plane Submerged Surface
Hydrostatic Force = Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area Go
Discharge Rate of Liquid from Orifice in Tank
Flowrate = Area of Orifice*(sqrt(2*[g]*Height of Tank)) Go
Momentum Diffusivity
Momentum Diffusivity = Dynamic Viscosity/Density Go
Fanning Friction Factor using Darcy Friction Factor
Fanning Friction Factor = Darcy Friction Factor/4 Go

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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