Pressure Head due to Acceleration in Delivery Pipe Calculator

✖Length of delivery pipe is the distance from the pump to the point of use in a single acting pump system, affecting overall system performance.ⓘ Length of delivery pipe [l_d]			+10% -10%
✖Area of cylinder is the area of the circular base of a cylinder, used to calculate the volume of a single acting pump.ⓘ Area of cylinder [A]			+10% -10%
✖Angular Velocity is the measure of how fast the pump's crankshaft rotates, determining the pump's speed and efficiency in a single acting pump system.ⓘ Angular Velocity [ω]			+10% -10%
✖Radius of crank is the distance from the axis of rotation to the point where the connecting rod is attached in a single acting pump.ⓘ Radius of crank [r]			+10% -10%
✖Angle turned by crank is the rotation of the crankshaft in a single acting pump that converts rotary motion into reciprocating motion.ⓘ Angle turned by crank [θ_crnk]			+10% -10%
✖Area of delivery pipe is the cross-sectional area of the pipe that carries fluid from a single acting pump to the point of application.ⓘ Area of delivery pipe [a_d]			+10% -10%

✖Pressure Head due to Acceleration in Delivery Pipe is the pressure generated in a delivery pipe due to acceleration of fluid in a single acting pump.ⓘ Pressure Head due to Acceleration in Delivery Pipe [h_ad]

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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_crnk))/([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 the pressure generated in a delivery pipe due to acceleration of fluid in a single acting pump.
Length of delivery pipe - (Measured in Meter) - Length of delivery pipe is the distance from the pump to the point of use in a single acting pump system, affecting overall system performance.
Area of cylinder - (Measured in Square Meter) - Area of cylinder is the area of the circular base of a cylinder, used to calculate the volume of a single acting pump.
Angular Velocity - (Measured in Radian per Second) - Angular Velocity is the measure of how fast the pump's crankshaft rotates, determining the pump's speed and efficiency in a single acting pump system.
Radius of crank - (Measured in Meter) - Radius of crank is the distance from the axis of rotation to the point where the connecting rod is attached in a single acting pump.
Angle turned by crank - (Measured in Radian) - Angle turned by crank is the rotation of the crankshaft in a single acting pump that converts rotary motion into reciprocating motion.
Area of delivery pipe - (Measured in Square Meter) - Area of delivery pipe is the cross-sectional area of the pipe that carries fluid from a single acting pump to the point of application.

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_crnk))/([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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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

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< Single Acting Pumps Calculators

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

LaTeX Go Work done against friction in suction pipe = ((Density*[g]*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

LaTeX Go Work done against friction in delivery pipe = (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))

Work done against friction in delivery pipe

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

Work done against friction in suction pipe

LaTeX Go Work done against friction in suction pipe = (2/3)*Length of Stroke*Head Loss due to Friction in Suction Pipe

Pressure Head due to Acceleration in Delivery Pipe Formula

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What is Pressure Head?

Pressure head is the height of a fluid column that produces a specific pressure at its base due to the weight of the fluid. It represents the potential energy of the fluid in terms of its pressure, typically expressed in meters or feet of the fluid's height. Pressure head is used in fluid mechanics to analyze fluid flow in systems like pipes, tanks, and pumps, helping to determine pressure distribution and flow behavior.

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, Pressure Head due to Acceleration in Delivery Pipe formula is defined as the measure of pressure head created in the delivery pipe of a reciprocating pump due to the acceleration of the fluid, which affects the pump's performance and overall efficiency in fluid transportation. 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_crnk) & 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 -> 0.669609 = (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?

Pressure Head due to Acceleration in Delivery Pipe formula is defined as the measure of pressure head created in the delivery pipe of a reciprocating pump due to the acceleration of the fluid, which affects the pump's performance and overall efficiency in fluid transportation and is represented as h_ad = (l_d*A*(ω^2)*r*cos(θ_crnk))/([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 is the distance from the pump to the point of use in a single acting pump system, affecting overall system performance, Area of cylinder is the area of the circular base of a cylinder, used to calculate the volume of a single acting pump, Angular Velocity is the measure of how fast the pump's crankshaft rotates, determining the pump's speed and efficiency in a single acting pump system, Radius of crank is the distance from the axis of rotation to the point where the connecting rod is attached in a single acting pump, Angle turned by crank is the rotation of the crankshaft in a single acting pump that converts rotary motion into reciprocating motion & Area of delivery pipe is the cross-sectional area of the pipe that carries fluid from a single acting pump to the point of application.

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

Pressure Head due to Acceleration in Delivery Pipe formula is defined as the measure of pressure head created in the delivery pipe of a reciprocating pump due to the acceleration of the fluid, which affects the pump's performance and overall efficiency in fluid transportation 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_crnk) & 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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