Velocity of Liquid in Pipe Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity*Radius of crank*sin(Angular Velocity*Time in seconds)
vliquid = (A/a)*ω*r*sin(ω*tsec)
This formula uses 1 Functions, 6 Variables
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
Velocity of Liquid - (Measured in Meter per Second) - The Velocity of Liquid in the pipe is defined as the product of the ratio of areas of the cylinder to the pipe, angular velocity, the radius of crank and sin of angular velocity and time.
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.
Area of pipe - (Measured in Square Meter) - Area of pipe is the cross-sectional area through which liquid is flowing and it is denoted by the symbol a.
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.
Radius of crank - (Measured in Meter) - Radius of crank is defined as the distance between crank pin and crank center, i.e. half stroke.
Time in seconds - (Measured in Second) - Time in seconds is what a clock reads, it is a scalar quantity.
STEP 1: Convert Input(s) to Base Unit
Area of cylinder: 0.6 Square Meter --> 0.6 Square Meter No Conversion Required
Area of pipe: 0.1 Square Meter --> 0.1 Square Meter No Conversion Required
Angular Velocity: 2.5 Radian per Second --> 2.5 Radian per Second No Conversion Required
Radius of crank: 0.09 Meter --> 0.09 Meter No Conversion Required
Time in seconds: 38 Second --> 38 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vliquid = (A/a)*ω*r*sin(ω*tsec) --> (0.6/0.1)*2.5*0.09*sin(2.5*38)
Evaluating ... ...
vliquid = 0.922403314893763
STEP 3: Convert Result to Output's Unit
0.922403314893763 Meter per Second --> No Conversion Required
FINAL ANSWER
0.922403314893763 0.922403 Meter per Second <-- Velocity of Liquid
(Calculation completed in 00.004 seconds)

Credits

Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has created this Calculator and 200+ more calculators!
Verified by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
Chilvera Bhanu Teja has verified this Calculator and 200+ 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

Velocity of Liquid in Pipe Formula

Velocity of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity*Radius of crank*sin(Angular Velocity*Time in seconds)
vliquid = (A/a)*ω*r*sin(ω*tsec)

What are some applications of reciprocating pumps?

Applications of reciprocating pumps are: Oil drilling operations, Pneumatic pressure systems, Light oil pumping, Feeding small boilers condensate return.

How to Calculate Velocity of Liquid in Pipe?

Velocity of Liquid in Pipe calculator uses Velocity of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity*Radius of crank*sin(Angular Velocity*Time in seconds) to calculate the Velocity of Liquid, The Velocity of liquid in pipe formula is defined as the product of ratio of areas of cylinder to the pipe, angular velocity, radius of crank and sin of angular velocity and time. Velocity of Liquid is denoted by vliquid symbol.

How to calculate Velocity of Liquid in Pipe using this online calculator? To use this online calculator for Velocity of Liquid in Pipe, enter Area of cylinder (A), Area of pipe (a), Angular Velocity (ω), Radius of crank (r) & Time in seconds (tsec) and hit the calculate button. Here is how the Velocity of Liquid in Pipe calculation can be explained with given input values -> 0.922403 = (0.6/0.1)*2.5*0.09*sin(2.5*38).

FAQ

What is Velocity of Liquid in Pipe?
The Velocity of liquid in pipe formula is defined as the product of ratio of areas of cylinder to the pipe, angular velocity, radius of crank and sin of angular velocity and time and is represented as vliquid = (A/a)*ω*r*sin(ω*tsec) or Velocity of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity*Radius of crank*sin(Angular Velocity*Time in seconds). Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface, Area of pipe is the cross-sectional area through which liquid is flowing and it is denoted by the symbol a, 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, Radius of crank is defined as the distance between crank pin and crank center, i.e. half stroke & Time in seconds is what a clock reads, it is a scalar quantity.
How to calculate Velocity of Liquid in Pipe?
The Velocity of liquid in pipe formula is defined as the product of ratio of areas of cylinder to the pipe, angular velocity, radius of crank and sin of angular velocity and time is calculated using Velocity of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity*Radius of crank*sin(Angular Velocity*Time in seconds). To calculate Velocity of Liquid in Pipe, you need Area of cylinder (A), Area of pipe (a), Angular Velocity (ω), Radius of crank (r) & Time in seconds (tsec). With our tool, you need to enter the respective value for Area of cylinder, Area of pipe, Angular Velocity, Radius of crank & Time in seconds 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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