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Work done by pump per stroke against friction Formula

GoWork Done by Double Acting Reciprocating Pump Formula

GoWork Done by Double-acting Pump considering all Head Losses Formula

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Work is done when a force that is applied to an object moves that object. Check FAQs

W = (\frac{2}{3}) \cdot L \cdot ((\frac{4 \cdot f \cdot L pipe}{2 \cdot d pipe \cdot g}) \cdot {((\frac{A}{a d}) \cdot (ω \cdot r))}^{2})

W - Work?L - Length of Stroke?f - Friction Factor?L_pipe - Length of Pipe?d_pipe - Pipe Diameter?g - Acceleration Due to Gravity?A - Area of cylinder?a_d - Area of delivery pipe?ω - Angular Velocity?r - Crank radius?

Work done by pump per stroke against friction Example

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Here is how the Work done by pump per stroke against friction equation looks like with Values.

Here is how the Work done by pump per stroke against friction equation looks like with Units.

Here is how the Work done by pump per stroke against friction equation looks like.

3.6806 = (\frac{2}{3}) \cdot 0.88 \cdot ((\frac{4 \cdot 0.63 \cdot 0.1}{2 \cdot 1.01 \cdot 9.8}) \cdot {((\frac{0.6}{0.25}) \cdot (2.5 \cdot 3.7))}^{2})

3.6806N*m = (\frac{2}{3}) \cdot 0.88m \cdot ((\frac{4 \cdot 0.63 \cdot 0.1m}{2 \cdot 1.01m \cdot 9.8m/s²}) \cdot {((\frac{0.6m²}{0.25m²}) \cdot (2.5rad/s \cdot 3.7m))}^{2})

3.6806 = (\frac{2}{3}) \cdot 0.88 \cdot ((\frac{4 \cdot 0.63 \cdot 0.1}{2 \cdot 1.01 \cdot 9.8}) \cdot {((\frac{0.6}{0.25}) \cdot (2.5 \cdot 3.7))}^{2})

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Work done by pump per stroke against friction Solution

Follow our step by step solution on how to calculate Work done by pump per stroke against friction?

FIRST Step Consider the formula

W = (\frac{2}{3}) \cdot L \cdot ((\frac{4 \cdot f \cdot L pipe}{2 \cdot d pipe \cdot g}) \cdot {((\frac{A}{a d}) \cdot (ω \cdot r))}^{2})

Next Step Substitute values of Variables

∴

W = (\frac{2}{3}) \cdot 0.88m \cdot ((\frac{4 \cdot 0.63 \cdot 0.1m}{2 \cdot 1.01m \cdot 9.8m/s²}) \cdot {((\frac{0.6m²}{0.25m²}) \cdot (2.5rad/s \cdot 3.7m))}^{2})

Next Step Prepare to Evaluate

∴

W = (\frac{2}{3}) \cdot 0.88 \cdot ((\frac{4 \cdot 0.63 \cdot 0.1}{2 \cdot 1.01 \cdot 9.8}) \cdot {((\frac{0.6}{0.25}) \cdot (2.5 \cdot 3.7))}^{2})

Next Step Evaluate

∴

W = 3.68061555869873J

Next Step Convert to Output's Unit

∴

W = 3.68061555869873N*m

LAST Step Rounding Answer

∴

W = 3.6806N*m

Work done by pump per stroke against friction Formula Elements

Variables

Work

Work is done when a force that is applied to an object moves that object.

Symbol: W

Measurement: EnergyUnit: N*m

Note: Value can be positive or negative.

Formulas to find Work

Length of Stroke

Length of stroke is the range of movement of piston.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Stroke

Friction Factor

The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Friction Factor

Length of Pipe

Length of Pipe describes the length of the pipe in which the liquid is flowing.

Symbol: L_pipe

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Pipe

Pipe Diameter

The Pipe Diameter refers to the diameter of the pipe in which the liquid is flowing.

Symbol: d_pipe

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pipe Diameter

Acceleration Due to Gravity

Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration Due to Gravity

Area of cylinder

Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of cylinder

Area of delivery pipe

Area of delivery pipe through which the liquid is delivered.

Symbol: a_d

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of delivery pipe

Angular Velocity

The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Crank radius

Crank radius is radius of the crank.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Crank radius

Other Formulas to find Work

Go Work Done by Double Acting Reciprocating Pump

W = 2 \cdot SW \cdot A p \cdot L \cdot (\frac{N}{60}) \cdot (h coc + h d)

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

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

Other formulas in Double Acting Pumps category

Go Discharge of Double Acting Reciprocating Pump

Q = (\frac{π}{4}) \cdot L \cdot ((2 \cdot ({d p}^{2})) - (d^{2})) \cdot (\frac{N}{60})

Go Discharge of Double Acting Reciprocating Pump neglecting Diameter of Piston Rod

Q = 2 \cdot A p \cdot L \cdot \frac{N}{60}

How to Evaluate Work done by pump per stroke against friction?

Work done by pump per stroke against friction evaluator uses Work = (2/3)*Length of Stroke*(((4*Friction Factor*Length of Pipe)/(2*Pipe Diameter*Acceleration Due to Gravity))*((Area of cylinder/Area of delivery pipe)*(Angular Velocity*Crank radius))^2) to evaluate the Work, The Work done by pump per stroke against friction formula is defined as measure of energy transfer that occurs when fluid is moved over a distance by an external force at least part of which is applied in the direction of the displacement. Work is denoted by W symbol.

How to evaluate Work done by pump per stroke against friction using this online evaluator? To use this online evaluator for Work done by pump per stroke against friction, enter Length of Stroke (L), Friction Factor (f), Length of Pipe (L_pipe), Pipe Diameter (d_pipe), Acceleration Due to Gravity (g), Area of cylinder (A), Area of delivery pipe (a_d), Angular Velocity (ω) & Crank radius (r) and hit the calculate button.

FAQs on Work done by pump per stroke against friction

What is the formula to find Work done by pump per stroke against friction?

The formula of Work done by pump per stroke against friction is expressed as Work = (2/3)*Length of Stroke*(((4*Friction Factor*Length of Pipe)/(2*Pipe Diameter*Acceleration Due to Gravity))*((Area of cylinder/Area of delivery pipe)*(Angular Velocity*Crank radius))^2). Here is an example- 3.67812 = (2/3)*0.88*((4*0.63*0.1)/(2*1.01*[g]))*((0.6/0.25)*(2.5*3.7))^2.

How to calculate Work done by pump per stroke against friction?

With Length of Stroke (L), Friction Factor (f), Length of Pipe (L_pipe), Pipe Diameter (d_pipe), Acceleration Due to Gravity (g), Area of cylinder (A), Area of delivery pipe (a_d), Angular Velocity (ω) & Crank radius (r) we can find Work done by pump per stroke against friction using the formula - Work = (2/3)*Length of Stroke*(((4*Friction Factor*Length of Pipe)/(2*Pipe Diameter*Acceleration Due to Gravity))*((Area of cylinder/Area of delivery pipe)*(Angular Velocity*Crank radius))^2).

What are the other ways to Calculate Work?

Here are the different ways to Calculate Work-

Work=2*Specific Weight*Area of Piston*Length of Stroke*(Speed in RPM/60)*(Height of centre of cylinder+Height to which liquid is raised)
Work=(2*Specific Weight*Area of cylinder*Length of Stroke*Speed in RPM/60)*(Suction Head+Delivery Head+((2/3)*Head loss due to friction in delivery pipe)+((2/3)*Head Loss due to Friction in Suction Pipe))
Work=((2*Density*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)

Can the Work done by pump per stroke against friction be negative?

Yes, the Work done by pump per stroke against friction, measured in Energy can be negative.

Which unit is used to measure Work done by pump per stroke against friction?

Work done by pump per stroke against friction 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 pump per stroke against friction can be measured.

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Work done by pump per stroke against friction Formula

​GoWork Done by Double Acting Reciprocating Pump Formula

​GoWork Done by Double-acting Pump considering all Head Losses Formula

Work done by pump per stroke against friction Example

Work done by pump per stroke against friction Solution

Work done by pump per stroke against friction Formula Elements

Other Formulas to find Work

Other formulas in Double Acting Pumps category

How to Evaluate Work done by pump per stroke against friction?

FAQs on Work done by pump per stroke against friction

Variable Name

GoWork Done by Double Acting Reciprocating Pump Formula

GoWork Done by Double-acting Pump considering all Head Losses Formula