Rate of flow of liquid into air vessel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rate of Flow = (Area of cylinder*Angular Velocity*Crank radius)*(sin(Angle between crank and flow rate)-(2/pi))
Qr = (A*ω*r)*(sin(θ)-(2/pi))
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Rate of Flow - (Measured in Cubic Meter per Second) - Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.
Area of cylinder - (Measured in Square Meter) - Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Crank radius - (Measured in Meter) - Crank radius is radius of the crank.
Angle between crank and flow rate - (Measured in Radian) - Angle between crank and flow rate is defined as the angle made by crank with the inner dead center.
STEP 1: Convert Input(s) to Base Unit
Area of cylinder: 0.6 Square Meter --> 0.6 Square Meter No Conversion Required
Angular Velocity: 2.5 Radian per Second --> 2.5 Radian per Second No Conversion Required
Crank radius: 3.7 Meter --> 3.7 Meter No Conversion Required
Angle between crank and flow rate: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qr = (A*ω*r)*(sin(θ)-(2/pi)) --> (0.6*2.5*3.7)*(sin(1.0471975511964)-(2/pi))
Evaluating ... ...
Qr = 1.27320125436301
STEP 3: Convert Result to Output's Unit
1.27320125436301 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
1.27320125436301 1.273201 Cubic Meter per Second <-- Rate of Flow
(Calculation completed in 00.004 seconds)

Credits

Created by Shareef Alex
velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada
Shareef Alex has created this Calculator and 100+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

12 Flow Parameters Calculators

Loss of head due to friction given area of Pipe
Go Head loss due to friction = ((4*Coefficient of Friction*Length of Pipe 1)/(Diameter of delivery pipe*2*[g]))*((Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*sin(Angle turned by crank))
Pressure head due to acceleration
Go Pressure Head due to Acceleration = (Length of Pipe 1*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of pipe)
Acceleration of liquid in pipe
Go Acceleration of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angular Velocity*Time in seconds)
Velocity of Liquid in Pipe
Go Velocity of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity*Radius of crank*sin(Angular Velocity*Time in seconds)
Rate of flow of liquid into air vessel
Go Rate of Flow = (Area of cylinder*Angular Velocity*Crank radius)*(sin(Angle between crank and flow rate)-(2/pi))
Mean Velocity of Air Vessel given Length of Stroke
Go Mean Velocity = (Area of cylinder*Angular Velocity*Length of Stroke)/(2*pi*Area of Suction Pipe)
Mean velocity of air vessels
Go Mean Velocity = (Area of cylinder*Angular Velocity*Pipe Diameter/2)/(pi*Area of Suction Pipe)
Weight of Water delivered per second given Density and Discharge
Go Weight of Water = Water Density*Acceleration Due to Gravity*Discharge
Mass of water in pipe
Go Mass of Water = Water Density*Area of pipe*Length of Pipe
Coefficient of discharge of pump
Go Coefficient of Discharge = Actual Discharge/Theoretical Discharge
Weight of water delivered per second
Go Weight of liquid = Specific Weight*Discharge
Volume of liquid delivered given weight of liquid
Go Volume = Weight of liquid/Specific Weight

Rate of flow of liquid into air vessel Formula

Rate of Flow = (Area of cylinder*Angular Velocity*Crank radius)*(sin(Angle between crank and flow rate)-(2/pi))
Qr = (A*ω*r)*(sin(θ)-(2/pi))

What is flow in water?

Flow, or volumetric flow rate, is simply the volume of fluid that passes per unit of time. In water resources, flow is often measured in units of cubic feet per second, cubic meters per second, gallons per minute, millions of gallons per day, or other various units.

What is an air vessel in fluid mechanics?

The air vessel, in a reciprocating pump, is a cast-iron closed chamber having an opening at its base. These are fitted to the suction pipe and delivery pipe close to the cylinder of the pump. The vessels are used for getting a continuous supply of liquid at a uniform rate.

How to Calculate Rate of flow of liquid into air vessel?

Rate of flow of liquid into air vessel calculator uses Rate of Flow = (Area of cylinder*Angular Velocity*Crank radius)*(sin(Angle between crank and flow rate)-(2/pi)) to calculate the Rate of Flow, The Rate of flow of liquid into air vessel formula is defined as the volume of fluid that passes per unit time. Rate of Flow is denoted by Qr symbol.

How to calculate Rate of flow of liquid into air vessel using this online calculator? To use this online calculator for Rate of flow of liquid into air vessel, enter Area of cylinder (A), Angular Velocity (ω), Crank radius (r) & Angle between crank and flow rate (θ) and hit the calculate button. Here is how the Rate of flow of liquid into air vessel calculation can be explained with given input values -> 1.273201 = (0.6*2.5*3.7)*(sin(1.0471975511964)-(2/pi)).

FAQ

What is Rate of flow of liquid into air vessel?
The Rate of flow of liquid into air vessel formula is defined as the volume of fluid that passes per unit time and is represented as Qr = (A*ω*r)*(sin(θ)-(2/pi)) or Rate of Flow = (Area of cylinder*Angular Velocity*Crank radius)*(sin(Angle between crank and flow rate)-(2/pi)). Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface, The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time, Crank radius is radius of the crank & Angle between crank and flow rate is defined as the angle made by crank with the inner dead center.
How to calculate Rate of flow of liquid into air vessel?
The Rate of flow of liquid into air vessel formula is defined as the volume of fluid that passes per unit time is calculated using Rate of Flow = (Area of cylinder*Angular Velocity*Crank radius)*(sin(Angle between crank and flow rate)-(2/pi)). To calculate Rate of flow of liquid into air vessel, you need Area of cylinder (A), Angular Velocity (ω), Crank radius (r) & Angle between crank and flow rate (θ). With our tool, you need to enter the respective value for Area of cylinder, Angular Velocity, Crank radius & Angle between crank and flow rate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!