Pressure Head due to Acceleration in Delivery Pipe Calculator

✖Length of delivery pipe in meters is denoted by the symbol l_d.ⓘ Length of delivery pipe [l_d]			+10% -10%
✖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 cylinder [A]			+10% -10%
✖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.ⓘ Angular Velocity [ω]			+10% -10%
✖Radius of crank is defined as the distance between crank pin and crank center, i.e. half stroke.ⓘ Radius of crank [r]			+10% -10%
✖Angle turned by crank in radians is defined as the product of 2 times of pi, speed(rpm), and time.ⓘ Angle turned by crank [θ]			+10% -10%
✖Area of delivery pipe through which the liquid is delivered.ⓘ Area of delivery pipe [a_d]			+10% -10%

✖Pressure Head due to Acceleration in Delivery Pipe is denoted by h_ad symbol.ⓘ Pressure Head due to Acceleration in Delivery Pipe [h_ad]

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Formula

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Pressure Head due to Acceleration in Delivery Pipe

Formula

`"h"_{"ad"} = ("l"_{"d"}*"A"*("ω"^2)*"r"*cos("θ"))/("[g]"*"a"_{"d"})`

Example

`"0.669609m"=("5m"*"0.6m²"*(("2.5rad/s")^2)*"0.09m"*cos("12.8rad"))/("[g]"*"0.25m²")`

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Pressure Head due to Acceleration in Delivery Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Head due to Acceleration in Delivery Pipe = (Length of delivery pipe*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of delivery pipe)
h_ad = (l_d*A*(ω^2)*r*cos(θ))/([g]*a_d)
This formula uses 1 Constants, 1 Functions, 7 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Pressure Head due to Acceleration in Delivery Pipe - (Measured in Meter) - Pressure Head due to Acceleration in Delivery Pipe is denoted by h_ad symbol.
Length of delivery pipe - (Measured in Meter) - Length of delivery pipe in meters is denoted by the symbol l_d.
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.
Radius of crank - (Measured in Meter) - Radius of crank is defined as the distance between crank pin and crank center, i.e. half stroke.
Angle turned by crank - (Measured in Radian) - Angle turned by crank in radians is defined as the product of 2 times of pi, speed(rpm), and time.
Area of delivery pipe - (Measured in Square Meter) - Area of delivery pipe through which the liquid is delivered.

STEP 1: Convert Input(s) to Base Unit

Length of delivery pipe: 5 Meter --> 5 Meter No Conversion Required
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
Radius of crank: 0.09 Meter --> 0.09 Meter No Conversion Required
Angle turned by crank: 12.8 Radian --> 12.8 Radian No Conversion Required
Area of delivery pipe: 0.25 Square Meter --> 0.25 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_ad = (l_d*A*(ω^2)*r*cos(θ))/([g]*a_d) --> (5*0.6*(2.5^2)*0.09*cos(12.8))/([g]*0.25)

Evaluating ... ...

h_ad = 0.669608869334348

STEP 3: Convert Result to Output's Unit

0.669608869334348 Meter --> No Conversion Required

FINAL ANSWER

0.669608869334348 ≈ 0.669609 Meter <-- Pressure Head due to Acceleration in Delivery Pipe

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Reciprocating Pumps » Single Acting Pumps » Pressure Head due to Acceleration in Delivery Pipe

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 Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has verified this Calculator and 200+ more calculators!

< 9 Single Acting Pumps Calculators

Loss of head due to friction in delivery pipe

Go Head loss due to friction in delivery pipe = ((2*Coefficient of Friction*Length of delivery pipe)/(Diameter of delivery pipe*[g]))*(((Area of cylinder/Area of delivery pipe)*Angular Velocity*Radius of crank*sin(Angle turned by crank))^2)

Loss of head due to friction in suction pipe

Go Head loss due to friction in suction pipe = ((2*Coefficient of Friction*Length of suction pipe)/(Diameter of suction pipe*[g]))*(((Area of cylinder/Area of Suction Pipe)*Angular Velocity*Radius of crank*sin(Angle turned by crank))^2)

Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes

Go Work = ((Density*Acceleration Due to Gravity*Area of cylinder*Length of Stroke*Speed in RPM)/60)*(Suction Head+Delivery Head+0.66*Head Loss due to Friction in Suction Pipe+0.66*Head loss due to friction in delivery pipe)

Work Done by Single-acting Pump considering all Head Losses

Go Work = (Specific Weight*Area of cylinder*Length of Stroke*Speed in RPM/60)*(Suction Head+Delivery Head+((2/3)*Head Loss due to Friction in Suction Pipe)+((2/3)*Head loss due to friction in delivery pipe))

Pressure Head due to Acceleration in Delivery Pipe

Go Pressure Head due to Acceleration in Delivery Pipe = (Length of delivery pipe*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of delivery pipe)

Pressure Head due to Acceleration in Suction Pipe

Go Pressure head due to acceleration in suction pipe = (Length of suction pipe*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of Suction Pipe)

Velocity of water in suction and delivery pipes due to acceleration or retardation

Go Velocity = (Area of cylinder/Area of Suction Pipe)*(Angular Velocity*Radius of crank*sin(Angle turned by crank))

Work done against friction in delivery pipe

Go Work = (2/3)*Length of Stroke*Head loss due to friction in delivery pipe

Work done against friction in suction pipe

Go Work = (2/3)*Length of Stroke*Head Loss due to Friction in Suction Pipe

Pressure Head due to Acceleration in Delivery Pipe Formula

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 Pressure Head due to Acceleration in Delivery Pipe?

Pressure Head due to Acceleration in Delivery Pipe calculator uses Pressure Head due to Acceleration in Delivery Pipe = (Length of delivery pipe*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of delivery pipe) to calculate the Pressure Head due to Acceleration in Delivery Pipe, The Pressure head due to acceleration in delivery pipe formula is defined as the ratio of product of length of delivery pipe, angular velocity squared, radius of crank, area of cylinder and cos of angle turned by crank to the product of acceleration due to gravity and area of delivery pipe. Pressure Head due to Acceleration in Delivery Pipe is denoted by h_ad symbol.

How to calculate Pressure Head due to Acceleration in Delivery Pipe using this online calculator? To use this online calculator for Pressure Head due to Acceleration in Delivery Pipe, enter Length of delivery pipe (l_d), Area of cylinder (A), Angular Velocity (ω), Radius of crank (r), Angle turned by crank (θ) & Area of delivery pipe (a_d) and hit the calculate button. Here is how the Pressure Head due to Acceleration in Delivery Pipe calculation can be explained with given input values -> 0.837011 = (5*0.6*(2.5^2)*0.09*cos(12.8))/([g]*0.25).

FAQ

What is Pressure Head due to Acceleration in Delivery Pipe?

The Pressure head due to acceleration in delivery pipe formula is defined as the ratio of product of length of delivery pipe, angular velocity squared, radius of crank, area of cylinder and cos of angle turned by crank to the product of acceleration due to gravity and area of delivery pipe and is represented as h_ad = (l_d*A*(ω^2)*r*cos(θ))/([g]*a_d) or Pressure Head due to Acceleration in Delivery Pipe = (Length of delivery pipe*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of delivery pipe). Length of delivery pipe in meters is denoted by the symbol l_d, 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, Radius of crank is defined as the distance between crank pin and crank center, i.e. half stroke, Angle turned by crank in radians is defined as the product of 2 times of pi, speed(rpm), and time & Area of delivery pipe through which the liquid is delivered.

How to calculate Pressure Head due to Acceleration in Delivery Pipe?

The Pressure head due to acceleration in delivery pipe formula is defined as the ratio of product of length of delivery pipe, angular velocity squared, radius of crank, area of cylinder and cos of angle turned by crank to the product of acceleration due to gravity and area of delivery pipe is calculated using Pressure Head due to Acceleration in Delivery Pipe = (Length of delivery pipe*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of delivery pipe). To calculate Pressure Head due to Acceleration in Delivery Pipe, you need Length of delivery pipe (l_d), Area of cylinder (A), Angular Velocity (ω), Radius of crank (r), Angle turned by crank (θ) & Area of delivery pipe (a_d). With our tool, you need to enter the respective value for Length of delivery pipe, Area of cylinder, Angular Velocity, Radius of crank, Angle turned by crank & Area of delivery pipe 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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