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

GoWork done against friction in suction pipe Formula

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Work done against friction in suction pipe is the energy lost due to friction in the suction pipe of a single acting pump during its operation. Check FAQs

W fs = (\frac{ρ \cdot [g] \cdot A \cdot L \cdot N}{60}) \cdot (h s + h del + 0.66 \cdot h fs + 0.66 \cdot h fd)

W_fs - Work done against friction in suction pipe?ρ - Density?A - Area of cylinder?L - Length of Stroke?N - Speed in RPM?h_s - Suction Head?h_del - Delivery Head?h_fs - Head Loss due to Friction in Suction Pipe?h_fd - Head loss due to friction in delivery pipe?[g] - Gravitational acceleration on Earth?

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

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Here is how the Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes equation looks like with Values.

Here is how the Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes equation looks like with Units.

Here is how the Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes equation looks like.

0.3842 = (\frac{0.0032 \cdot 9.8066 \cdot 0.6 \cdot 0.88 \cdot 100}{60}) \cdot (7 + 5 + 0.66 \cdot 0.6549 + 0.66 \cdot 2.1249)

0.3842N*m = (\frac{0.0032kg/m³ \cdot 9.8066m/s² \cdot 0.6m² \cdot 0.88m \cdot 100}{60}) \cdot (7m + 5m + 0.66 \cdot 0.6549m + 0.66 \cdot 2.1249m)

0.3842 = (\frac{0.0032 \cdot 9.8066 \cdot 0.6 \cdot 0.88 \cdot 100}{60}) \cdot (7 + 5 + 0.66 \cdot 0.6549 + 0.66 \cdot 2.1249)

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

Follow our step by step solution on how to calculate Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes?

FIRST Step Consider the formula

W fs = (\frac{ρ \cdot [g] \cdot A \cdot L \cdot N}{60}) \cdot (h s + h del + 0.66 \cdot h fs + 0.66 \cdot h fd)

Next Step Substitute values of Variables

∴

W fs = (\frac{0.0032kg/m³ \cdot [g] \cdot 0.6m² \cdot 0.88m \cdot 100}{60}) \cdot (7m + 5m + 0.66 \cdot 0.6549m + 0.66 \cdot 2.1249m)

Next Step Substitute values of Constants

∴

W fs = (\frac{0.0032kg/m³ \cdot 9.8066m/s² \cdot 0.6m² \cdot 0.88m \cdot 100}{60}) \cdot (7m + 5m + 0.66 \cdot 0.6549m + 0.66 \cdot 2.1249m)

Next Step Prepare to Evaluate

∴

W fs = (\frac{0.0032 \cdot 9.8066 \cdot 0.6 \cdot 0.88 \cdot 100}{60}) \cdot (7 + 5 + 0.66 \cdot 0.6549 + 0.66 \cdot 2.1249)

Next Step Evaluate

∴

W fs = 0.38420069818957J

Next Step Convert to Output's Unit

∴

W fs = 0.38420069818957N*m

LAST Step Rounding Answer

∴

W fs = 0.3842N*m

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

Variables

Constants

Work done against friction in suction pipe

Work done against friction in suction pipe is the energy lost due to friction in the suction pipe of a single acting pump during its operation.

Symbol: W_fs

Measurement: EnergyUnit: N*m

Note: Value can be positive or negative.

Formulas to find Work done against friction in suction pipe

Density

Density is the mass of a fluid per unit volume, typically measured in units of mass per unit volume, such as kilograms per cubic meter.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Area of cylinder

Area of cylinder is the area of the circular base of a cylinder, used to calculate the volume of a single acting pump.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of cylinder

Length of Stroke

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.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Stroke

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.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Speed in RPM

Suction Head

Suction Head is the vertical distance from the centerline of the pump to the suction nozzle of a single acting pump, affecting pump performance.

Symbol: h_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Suction Head

Delivery Head

Delivery Head is the maximum pressure or head developed by a single acting pump, typically measured at the pump's outlet, during its operation.

Symbol: h_del

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Delivery Head

Head Loss due to Friction in Suction Pipe

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.

Symbol: h_fs

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head Loss due to Friction in Suction Pipe

Head loss due to friction in delivery pipe

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.

Symbol: h_fd

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head loss due to friction in delivery pipe

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Work done against friction in suction pipe

Go Work done against friction in suction pipe

W fs = (\frac{2}{3}) \cdot L \cdot h fs

Other formulas in Single Acting Pumps category

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

W fd = (SW \cdot A \cdot L \cdot \frac{N}{60}) \cdot (h s + h del + ((\frac{2}{3}) \cdot h fs) + ((\frac{2}{3}) \cdot h fd))

Go Work done against friction in delivery pipe

W fd = (\frac{2}{3}) \cdot L \cdot h fd

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

Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes evaluator uses 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) to evaluate the Work done against friction in suction pipe, Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes formula is defined as the total energy lost due to friction in the suction and delivery pipes of a reciprocating pump, considering the pump's design and operational parameters. Work done against friction in suction pipe is denoted by W_fs symbol.

How to evaluate Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes using this online evaluator? To use this online evaluator for Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes, enter Density (ρ), 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.

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

What is the formula to find Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes?

The formula of Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes is expressed as 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). Here is an example- 0.383843 = ((0.003218*[g]*0.6*0.88*100)/60)*(7+5+0.66*0.654872+0.66*2.124929).

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

With Density (ρ), 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) we can find Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes using the formula - 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). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Work done against friction in suction pipe?

Here are the different ways to Calculate Work done against friction in suction pipe-

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

Can the Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes be negative?

Yes, the Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes, measured in Energy can be negative.

Which unit is used to measure Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes?

Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes is usually measured using the Newton Meter[N*m] for Energy. Joule[N*m], Kilojoule[N*m], Gigajoule[N*m] are the few other units in which Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes can be measured.

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

​GoWork done against friction in suction pipe Formula

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

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

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

Other Formulas to find Work done against friction in suction pipe

Other formulas in Single Acting Pumps category

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

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

Variable Name

GoWork done against friction in suction pipe Formula