Pump Power and Head Calculations

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Questions and Answers

A pump draws water with an inlet pressure of -35 kPa and discharges it at 120 kPa. Given a constant pipe diameter of 100 mm and a discharge rate of 0.08 m³/s, what is the head added by the pump, neglecting friction losses and considering a height difference of 2 m?

  • 22 m
  • 18 m
  • 20 m (correct)
  • 24 m

Given the same pump conditions (inlet pressure -35 kPa, outlet pressure 120 kPa, discharge 0.08 m³/s), what is the power output of the pump in kW, neglecting friction losses?

  • 14
  • 19 (correct)
  • 17
  • 16

Considering a pump with an 80% efficiency and a head loss from inlet to outlet equal to 3 times the velocity head in the pipe, what horsepower must be supplied to the flow?

  • 44 (correct)
  • 22
  • 18
  • 34

How does increasing the pipe diameter affect the head added by the pump, assuming all other parameters (pressure difference, discharge, height difference) remain constant and friction losses are negligible?

<p>The head added remains the same. (D)</p> Signup and view all the answers

If the pump's efficiency decreases while maintaining the same discharge and desired outlet pressure, how would the power input to the pump change?

<p>The power input would increase. (A)</p> Signup and view all the answers

What happens to the required power if the fluid being pumped changes from water to a fluid with higher viscosity, assuming the same flow rate and pressure increase are maintained?

<p>The required power increases. (C)</p> Signup and view all the answers

How does an increase in the height difference between the pump inlet and outlet affect the power required by the pump, assuming all other parameters remain constant?

<p>The power required increases. (A)</p> Signup and view all the answers

What is the effect of increasing the fluid's temperature on the power consumption of the pump, assuming the volumetric flow rate and pressure difference remain constant?

<p>The effect on power consumption depends on the specific fluid properties. (D)</p> Signup and view all the answers

If the inlet pressure to the pump is decreased (made more negative) while maintaining the same outlet pressure and flow rate, how is the power consumption affected?

<p>Power consumption increases. (D)</p> Signup and view all the answers

How does the roughness of the internal pipe surface affect the required power input to the pump, assuming the volumetric flow rate and pressure difference remain constant?

<p>A rougher surface increases the required power input. (C)</p> Signup and view all the answers

Flashcards

Pump Head

The net positive head (energy) added to the fluid by a pump, calculated using pressure, velocity, and elevation changes.

Pump Power Output

The rate at which the pump does work on the fluid, calculated using the fluid's specific weight, flow rate, and pump head.

Required Power Input

Power that needs to be supplied to the pump, accounting for the inefficiency, use the pump efficiency in the calculation.

Head Loss

Energy lost due to the fluid flow within the pipe network, typically due to friction between moving fluid and pipe walls.

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Velocity Head

Kinetic energy per unit weight of the fluid, it depends on the flow velocity within the pipe.

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Study Notes

  • Water is drawn into a pump with an inlet pressure of -35 kPa and an outlet pressure of 120 kPa.
  • The discharge rate is 0.08 m³/s.
  • The pipe diameter remains constant at 100 mm.
  • The height (h) is given as 2 meters.

Head Added by the Pump (Neglecting Friction Losses)

  • The head added by the pump is 22 m.

Power Output of the Pump (Neglecting Friction Losses)

  • The power output of the pump is 16 kW.

Horsepower Supplied to the Flow (Considering Head Loss and Pump Efficiency)

  • The head loss from inlet to outlet is 3 times the velocity head in the pipe.
  • With a pump efficiency of 80%, the horsepower that must be supplied to the flow is 34.

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