Work Done by Single-acting Pump considering all Head Losses Calculator

✖Specific Weight is the weight per unit volume of a fluid, typically measured in units of force per unit volume, such as pounds per cubic foot.ⓘ Specific Weight [SW]			+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%
✖Length of Stroke is the distance of the piston's movement in a single acting pump, which affects the pump's overall performance and efficiency.ⓘ Length of Stroke [L]			+10% -10%
✖Speed in RPM is the rotational speed of the pump's drive shaft, typically measured in revolutions per minute, indicating the pump's operating speed.ⓘ Speed in RPM [N]			+10% -10%
✖Suction Head is the vertical distance from the centerline of the pump to the suction nozzle of a single acting pump, affecting pump performance.ⓘ Suction Head [h_s]			+10% -10%
✖Delivery Head is the maximum pressure or head developed by a single acting pump, typically measured at the pump's outlet, during its operation.ⓘ Delivery Head [h_del]			+10% -10%
✖Head Loss due to Friction in Suction Pipe is the pressure drop that occurs in the suction pipe of a single acting pump due to frictional resistance.ⓘ Head Loss due to Friction in Suction Pipe [h_fs]			+10% -10%
✖Head loss due to friction in delivery pipe is the reduction in pressure head of a fluid due to frictional forces in the delivery pipe of a single acting pump.ⓘ Head loss due to friction in delivery pipe [h_fd]			+10% -10%

✖Work done against friction in delivery pipe is the energy lost due to frictional forces in the delivery pipe of a single acting pump during operation.ⓘ Work Done by Single-acting Pump considering all Head Losses [W_fd]

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Work Done by Single-acting Pump considering all Head Losses Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
W_fd = (SW*A*L*N/60)*(h_s+h_del+((2/3)*h_fs)+((2/3)*h_fd))
This formula uses 9 Variables

Variables Used

Work done against friction in delivery pipe - (Measured in Joule) - Work done against friction in delivery pipe is the energy lost due to frictional forces in the delivery pipe of a single acting pump during operation.
Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight is the weight per unit volume of a fluid, typically measured in units of force per unit volume, such as pounds per cubic foot.
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.
Length of Stroke - (Measured in Meter) - Length of Stroke is the distance of the piston's movement in a single acting pump, which affects the pump's overall performance and efficiency.
Speed in RPM - Speed in RPM is the rotational speed of the pump's drive shaft, typically measured in revolutions per minute, indicating the pump's operating speed.
Suction Head - (Measured in Meter) - Suction Head is the vertical distance from the centerline of the pump to the suction nozzle of a single acting pump, affecting pump performance.
Delivery Head - (Measured in Meter) - Delivery Head is the maximum pressure or head developed by a single acting pump, typically measured at the pump's outlet, during its operation.
Head Loss due to Friction in Suction Pipe - (Measured in Meter) - Head Loss due to Friction in Suction Pipe is the pressure drop that occurs in the suction pipe of a single acting pump due to frictional resistance.
Head loss due to friction in delivery pipe - (Measured in Meter) - Head loss due to friction in delivery pipe is the reduction in pressure head of a fluid due to frictional forces in the delivery pipe of a single acting pump.

STEP 1: Convert Input(s) to Base Unit

Specific Weight: 0.000102258 Kilonewton per Cubic Meter --> 0.102258 Newton per Cubic Meter (Check conversion here)
Area of cylinder: 0.6 Square Meter --> 0.6 Square Meter No Conversion Required
Length of Stroke: 0.88 Meter --> 0.88 Meter No Conversion Required
Speed in RPM: 100 --> No Conversion Required
Suction Head: 7 Meter --> 7 Meter No Conversion Required
Delivery Head: 5 Meter --> 5 Meter No Conversion Required
Head Loss due to Friction in Suction Pipe: 0.654872 Meter --> 0.654872 Meter No Conversion Required
Head loss due to friction in delivery pipe: 2.124929 Meter --> 2.124929 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_fd = (SW*A*L*N/60)*(h_s+h_del+((2/3)*h_fs)+((2/3)*h_fd)) --> (0.102258*0.6*0.88*100/60)*(7+5+((2/3)*0.654872)+((2/3)*2.124929))

Evaluating ... ...

W_fd = 1.24660852251936

STEP 3: Convert Result to Output's Unit

1.24660852251936 Joule -->1.24660852251936 Newton Meter (Check conversion here)

FINAL ANSWER

1.24660852251936 ≈ 1.246609 Newton Meter <-- Work done against friction in delivery pipe

(Calculation completed in 00.008 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Reciprocating Pumps » Mechanical » Single Acting Pumps » Work Done by Single-acting Pump considering all Head Losses

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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

Work Done by Single-acting Pump considering all Head Losses Formula

LaTeX Go

What is Single Acting Pump?

A single-acting pump is a type of pump that performs suction and discharge during one stroke of its piston or plunger. In this pump, fluid is drawn into the chamber during one movement and expelled during the return stroke. The pumping action occurs only in one direction, leading to intermittent flow. Single-acting pumps are commonly used in applications where simplicity and lower flow rates are sufficient, such as in hand-operated pumps and certain hydraulic systems.

How to Calculate Work Done by Single-acting Pump considering all Head Losses?

Work Done by Single-acting Pump considering all Head Losses calculator uses 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)) to calculate the Work done against friction in delivery pipe, Work Done by Single-acting Pump considering all Head Losses formula is defined as the total energy transferred by a single-acting reciprocating pump to the fluid being pumped, taking into account the suction, delivery, and friction head losses that occur during the pumping process. Work done against friction in delivery pipe is denoted by W_fd symbol.

How to calculate Work Done by Single-acting Pump considering all Head Losses using this online calculator? To use this online calculator for Work Done by Single-acting Pump considering all Head Losses, enter Specific Weight (SW), Area of cylinder (A), Length of Stroke (L), Speed in RPM (N), Suction Head (h_s), Delivery Head (h_del), Head Loss due to Friction in Suction Pipe (h_fs) & Head loss due to friction in delivery pipe (h_fd) and hit the calculate button. Here is how the Work Done by Single-acting Pump considering all Head Losses calculation can be explained with given input values -> 1.246523 = (0.102258*0.6*0.88*100/60)*(7+5+((2/3)*0.654872)+((2/3)*2.124929)).

FAQ

What is Work Done by Single-acting Pump considering all Head Losses?

Work Done by Single-acting Pump considering all Head Losses formula is defined as the total energy transferred by a single-acting reciprocating pump to the fluid being pumped, taking into account the suction, delivery, and friction head losses that occur during the pumping process and is represented as W_fd = (SW*A*L*N/60)*(h_s+h_del+((2/3)*h_fs)+((2/3)*h_fd)) or 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)). Specific Weight is the weight per unit volume of a fluid, typically measured in units of force per unit volume, such as pounds per cubic foot, Area of cylinder is the area of the circular base of a cylinder, used to calculate the volume of a single acting pump, Length of Stroke is the distance of the piston's movement in a single acting pump, which affects the pump's overall performance and efficiency, Speed in RPM is the rotational speed of the pump's drive shaft, typically measured in revolutions per minute, indicating the pump's operating speed, Suction Head is the vertical distance from the centerline of the pump to the suction nozzle of a single acting pump, affecting pump performance, Delivery Head is the maximum pressure or head developed by a single acting pump, typically measured at the pump's outlet, during its operation, Head Loss due to Friction in Suction Pipe is the pressure drop that occurs in the suction pipe of a single acting pump due to frictional resistance & Head loss due to friction in delivery pipe is the reduction in pressure head of a fluid due to frictional forces in the delivery pipe of a single acting pump.

How to calculate Work Done by Single-acting Pump considering all Head Losses?

Work Done by Single-acting Pump considering all Head Losses formula is defined as the total energy transferred by a single-acting reciprocating pump to the fluid being pumped, taking into account the suction, delivery, and friction head losses that occur during the pumping process is calculated using 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)). To calculate Work Done by Single-acting Pump considering all Head Losses, you need Specific Weight (SW), Area of cylinder (A), Length of Stroke (L), Speed in RPM (N), Suction Head (h_s), Delivery Head (h_del), Head Loss due to Friction in Suction Pipe (h_fs) & Head loss due to friction in delivery pipe (h_fd). With our tool, you need to enter the respective value for Specific Weight, Area of cylinder, Length of Stroke, Speed in RPM, Suction Head, Delivery Head, Head Loss due to Friction in Suction Pipe & Head loss due to friction in delivery pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Work done against friction in delivery pipe?

In this formula, Work done against friction in delivery pipe uses Specific Weight, Area of cylinder, Length of Stroke, Speed in RPM, Suction Head, Delivery Head, Head Loss due to Friction in Suction Pipe & Head loss due to friction in delivery pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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