In a test of the centrifugal pump shown in Fig. , thefollowing data are taken: p1= 100 mmHg (vacuum) andp2 = 500 mmHg (gage). The pipe diameters are D1 = 12 cmand D2 = 5 cm. The flow rate is 180 gal/min of light oil(SG = 0.91). Estimate (a) the head developed, in meters,and (b) the input power required at 75 percent efficiency. 65 cm(1)

Convert 100 mmHg = 13332 Pa, 500 mmHg = 66661 Pa, 180 gal/min =0.01136 m3/s. Calculate the inlet…

Answered: 65 cm (1)

International Edition---engineering Mechanics: Statics, 4th Edition

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In a test of the centrifugal pump shown in Fig. , the
following data are taken: p₁= 100 mmHg (vacuum) and
p₂ = 500 mmHg (gage). The pipe diameters are D₁ = 12 cm
and D₂ = 5 cm. The flow rate is 180 gal/min of light oil
(SG = 0.91). Estimate (a) the head developed, in meters,
and (b) the input power required at 75 percent efficiency.

Expert Solution

Step 1

Convert 100 mmHg = 13332 Pa, 500 mmHg = 66661 Pa, 180 gal/min =0.01136 m³/s.

Calculate the inlet and outlet velocities,

$\begin{array}{rcl} V_{1} & = & \frac{Q}{A_{1}} \\ = & \frac{0.01136}{\frac{π}{4} 0 . 12^{2}} \\ = & 1 \frac{m}{s} \\ V_{2} & = & \frac{Q}{A_{2}} \\ = & \frac{0.01136}{\frac{π}{4} 0 . 05^{2}} \\ = & 5.79 \frac{m}{s} \\ γ_{o i l} & = & 0.91 (9790) \\ = & 8903 \frac{N}{m^{3}} \end{array}$

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