#444 An oil pump is drawing 44 kW of electric

An oil pump is drawing 44 kW of electric - Mechanical Engineering

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An oil pump is drawing 44 kW of electric power while pumping oil with p = 860 kg/m^3 at a rate of 0.1 m^3/s. The inlet and outlet diameters of the pipe are 8 cm and 12 cm, respectively. If the pressure rise of oil in the pump is measured to be 500 kPa and the motor efficiency is 90 percent, determine the mechanical efficiency of the pump. (hint. Consider flow work Pv for total energy, and the elevation change is negligible.)

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Free Chegg Answer

Concepts and reason

Mechanical energy:

Mechanical energy is defined as the sum of the kinetic and potential energies.

Mechanical efficiency:

Mechanical efficiency is defined as effectiveness of the machine by the transformation of the energy and power in to the output.

Bernoulli’s equation:

Bernoulli’s equation considered by the conservation energy principal for fluids.

Fundamentals

Write the Bernoulli equation between two points.

Here, P1​ is the initial pressure, V1​ is the inlet velocity, z₁ is initial elevation, hpump,in​ is input pump loss, $\rho$ is the density, g is the acceleration due to gravity, P2​ is the final pressure, V2​ is the outlet velocity, z₂ is final elevation, hturbine,ex​ is exit turbine loss, and h_L is the head loss.

Write the efficiency relation.