Pressure Head due to Acceleration in Suction Pipe Calculator

✖Length of suction pipe is the distance from the centerline of the pump to the center of the suction inlet of a single acting reciprocating pump.ⓘ Length of suction pipe [l_s]			+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 Suction Pipe is the cross-sectional area of the pipe that connects the pump to the suction source in a single acting pump system.ⓘ Area of Suction Pipe [a_s]			+10% -10%

✖Pressure head due to acceleration in suction pipe is the pressure generated in the suction pipe of a single acting pump due to acceleration of the fluid.ⓘ Pressure Head due to Acceleration in Suction Pipe [h_as]

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Pressure Head due to Acceleration in Suction Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
h_as = (l_s*A*(ω^2)*r*cos(θ_crnk))/([g]*a_s)
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 suction pipe - (Measured in Meter) - Pressure head due to acceleration in suction pipe is the pressure generated in the suction pipe of a single acting pump due to acceleration of the fluid.
Length of suction pipe - (Measured in Meter) - Length of suction pipe is the distance from the centerline of the pump to the center of the suction inlet of a single acting reciprocating pump.
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 Suction Pipe - (Measured in Square Meter) - Area of Suction Pipe is the cross-sectional area of the pipe that connects the pump to the suction source in a single acting pump system.

STEP 1: Convert Input(s) to Base Unit

Length of suction pipe: 2.5 Meter --> 2.5 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 Suction Pipe: 0.39 Square Meter --> 0.39 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_as = (l_s*A*(ω^2)*r*cos(θ_crnk))/([g]*a_s) --> (2.5*0.6*(2.5^2)*0.09*cos(12.8))/([g]*0.39)

Evaluating ... ...

h_as = 0.214618227350753

STEP 3: Convert Result to Output's Unit

0.214618227350753 Meter --> No Conversion Required

FINAL ANSWER

0.214618227350753 ≈ 0.214618 Meter <-- Pressure head due to acceleration in suction pipe

(Calculation completed in 00.020 seconds)

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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 Suction Pipe Formula

LaTeX Go

What Suction Pipe?

A suction pipe is a tube or conduit that carries fluid from a source, such as a tank or reservoir, to the inlet of a pump. It is used to draw the fluid into the pump, where it is then transported or pressurized for further use. The design and positioning of the suction pipe are crucial for minimizing flow resistance, preventing air entry, and avoiding cavitation, ensuring efficient pump operation.

How to Calculate Pressure Head due to Acceleration in Suction Pipe?

Pressure Head due to Acceleration in Suction Pipe calculator uses 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) to calculate the Pressure head due to acceleration in suction pipe, Pressure Head due to Acceleration in Suction Pipe formula is defined as the pressure head generated in the suction pipe of a reciprocating pump due to the acceleration of the fluid, which affects the pump's performance and overall efficiency. Pressure head due to acceleration in suction pipe is denoted by h_as symbol.

How to calculate Pressure Head due to Acceleration in Suction Pipe using this online calculator? To use this online calculator for Pressure Head due to Acceleration in Suction Pipe, enter Length of suction pipe (l_s), Area of cylinder (A), Angular Velocity (ω), Radius of crank (r), Angle turned by crank (θ_crnk) & Area of Suction Pipe (a_s) and hit the calculate button. Here is how the Pressure Head due to Acceleration in Suction Pipe calculation can be explained with given input values -> 0.214618 = (2.5*0.6*(2.5^2)*0.09*cos(12.8))/([g]*0.39).

FAQ

What is Pressure Head due to Acceleration in Suction Pipe?

Pressure Head due to Acceleration in Suction Pipe formula is defined as the pressure head generated in the suction pipe of a reciprocating pump due to the acceleration of the fluid, which affects the pump's performance and overall efficiency and is represented as h_as = (l_s*A*(ω^2)*r*cos(θ_crnk))/([g]*a_s) or 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). Length of suction pipe is the distance from the centerline of the pump to the center of the suction inlet of a single acting reciprocating pump, 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 Suction Pipe is the cross-sectional area of the pipe that connects the pump to the suction source in a single acting pump system.

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

Pressure Head due to Acceleration in Suction Pipe formula is defined as the pressure head generated in the suction pipe of a reciprocating pump due to the acceleration of the fluid, which affects the pump's performance and overall efficiency is calculated using 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). To calculate Pressure Head due to Acceleration in Suction Pipe, you need Length of suction pipe (l_s), Area of cylinder (A), Angular Velocity (ω), Radius of crank (r), Angle turned by crank (θ_crnk) & Area of Suction Pipe (a_s). With our tool, you need to enter the respective value for Length of suction pipe, Area of cylinder, Angular Velocity, Radius of crank, Angle turned by crank & Area of Suction 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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