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

GoWork done against friction in delivery pipe Formula

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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. Check FAQs

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))

W_fd - Work done against friction in delivery pipe?SW - Specific Weight?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?

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

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Here is how the Work Done by Single-acting Pump considering all Head Losses equation looks like with Values.

Here is how the Work Done by Single-acting Pump considering all Head Losses equation looks like with Units.

Here is how the Work Done by Single-acting Pump considering all Head Losses equation looks like.

1.2466 = (0.0001 \cdot 0.6 \cdot 0.88 \cdot \frac{100}{60}) \cdot (7 + 5 + ((\frac{2}{3}) \cdot 0.6549) + ((\frac{2}{3}) \cdot 2.1249))

1.2466N*m = (0.0001kN/m³ \cdot 0.6m² \cdot 0.88m \cdot \frac{100}{60}) \cdot (7m + 5m + ((\frac{2}{3}) \cdot 0.6549m) + ((\frac{2}{3}) \cdot 2.1249m))

1.2466 = (0.0001 \cdot 0.6 \cdot 0.88 \cdot \frac{100}{60}) \cdot (7 + 5 + ((\frac{2}{3}) \cdot 0.6549) + ((\frac{2}{3}) \cdot 2.1249))

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

Follow our step by step solution on how to calculate Work Done by Single-acting Pump considering all Head Losses?

FIRST Step Consider the formula

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))

Next Step Substitute values of Variables

∴

W fd = (0.0001kN/m³ \cdot 0.6m² \cdot 0.88m \cdot \frac{100}{60}) \cdot (7m + 5m + ((\frac{2}{3}) \cdot 0.6549m) + ((\frac{2}{3}) \cdot 2.1249m))

Next Step Convert Units

∴

W fd = (0.1023N/m³ \cdot 0.6m² \cdot 0.88m \cdot \frac{100}{60}) \cdot (7m + 5m + ((\frac{2}{3}) \cdot 0.6549m) + ((\frac{2}{3}) \cdot 2.1249m))

Next Step Prepare to Evaluate

∴

W fd = (0.1023 \cdot 0.6 \cdot 0.88 \cdot \frac{100}{60}) \cdot (7 + 5 + ((\frac{2}{3}) \cdot 0.6549) + ((\frac{2}{3}) \cdot 2.1249))

Next Step Evaluate

∴

W fd = 1.24660852251936J

Next Step Convert to Output's Unit

∴

W fd = 1.24660852251936N*m

LAST Step Rounding Answer

∴

W fd = 1.2466N*m

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

Variables

Work done against friction in delivery pipe

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.

Symbol: W_fd

Measurement: EnergyUnit: N*m

Note: Value can be positive or negative.

Formulas to find Work done against friction in delivery pipe

Specific Weight

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.

Symbol: SW

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight

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

Other Formulas to find Work done against friction in delivery pipe

Go Work done against friction in delivery pipe

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

Other formulas in Single Acting Pumps category

Go Work done against friction in suction pipe

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

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

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)

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

Work Done by Single-acting Pump considering all Head Losses evaluator 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 evaluate 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 evaluate Work Done by Single-acting Pump considering all Head Losses using this online evaluator? To use this online evaluator 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.

FAQs on Work Done by Single-acting Pump considering all Head Losses

What is the formula to find Work Done by Single-acting Pump considering all Head Losses?

The formula of Work Done by Single-acting Pump considering all Head Losses is expressed as 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)). Here is an example- 1.246523 = (0.102258*0.6*0.88*100/60)*(7+5+((2/3)*0.654872)+((2/3)*2.124929)).

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

With 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) we can find Work Done by Single-acting Pump considering all Head Losses using the formula - 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)).

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

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

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

Can the Work Done by Single-acting Pump considering all Head Losses be negative?

Yes, the Work Done by Single-acting Pump considering all Head Losses, measured in Energy can be negative.

Which unit is used to measure Work Done by Single-acting Pump considering all Head Losses?

Work Done by Single-acting Pump considering all Head Losses 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 considering all Head Losses can be measured.

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

​GoWork done against friction in delivery pipe Formula

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

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

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

Other Formulas to find Work done against friction in delivery pipe

Other formulas in Single Acting Pumps category

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

FAQs on Work Done by Single-acting Pump considering all Head Losses

Variable Name

GoWork done against friction in delivery pipe Formula