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Unformatted text preview: National University of Singapore
Bachelor of Technology TM’EHJ — Fittfd Machonics' H Tutorial Sheet 1 t [urhomaehinery u pumps] (1} A centrifugal pump impeller for pumping water has inner blade tip radius rl = [1.1 m
and outer blade tip radius r: = ﬂ. 1 T5 to. The blade widths at entry and exit are b] =
b; =t}.tl45m with corresponding blade angles [3. = 30” and 133 = 20”. For a running
speed of 144C! rewmin, determine the following: (a) the flowrate through the impeller, and
[b] the theoretical torque required to drit‘e die impeller. You may asstune the design conditions of whirl—free [o] = 9ft" ) and shock—free
entry to the impeller. [0,245 m3is; 5416 Nm]. (2) A centrifugal pump has an impeller with dimensions r1 = 15 cm, r3 = 15 cm, b. = 5
cm, b; = 3 cm, {it = B; = 3ft“. For a discharge of 55 litr‘see and shockfree entry to
vanes, compute (a) the speed, {is} the head, {c} the torque, {d} the power, and {e} the
static pressure rise across the impeller. You may neglect losses and assume whirl
free entry. [514.3 rest"min; 3.838 m; 33.914 Nm; 2.09% kw; 21349 kPa]. [3) An axial ﬂow pump operates at Silt} ret'i'min. The outer diameter of the impeller is
ﬁt} mm and the hub diameter is still} mm. At the mean blade radius, the inlet blade
angle is 12.J and the outer blade angle is lﬁﬂ, both measured with respect to the
plane of the impeller rotation. Sketch the corresponding velocity diagrams at inlet
and outlet. and estimate the following: {a} the heat] generated by the pump.
{b} the rate of ﬂow through the pump. it} the shaft porter consumed by the pump. Assume a hydraulic efﬁciency of SitE: and an overall efficiency of toe/t. 1ir'olurnetrie
efﬁciency may be assumed to be 1.0. [4.15 m; 1.t}12 min; sass ktt'}. {4) A given pump rotates at a speed of 1666 reyt'min at its duty paint and generates a (5) (5) head of 12.2 in when pumping water at a rate of 6.6151 mall's. Calculate the head
generated buy a similar pump of twice the size operating under dynamicallysimilar
condition and discharging 6.6453 m‘h’s. Assume the eﬂ'ects of viscosity are
negligible. Determine also the rotational speed of the larger pump. [6.86 m; 3T5 rew'min} A centrifugal pump running at 2956 reyfmln gave the fcllowing results at peak
efﬁciency when pumping water during a laboratory test: Effective head H = T5 m of water.
Florate Q = ass mite.
Overall efficiency 11 = T6%. (a) calculate the speciﬁc speed of the pump in dimensionless terms based on
rotational speed in rews. (h) a dynamicallysimilar pump is to operate at a corresponding point of its
characteristics when delivering 6.45 mils of water against a total head of ll'ir m.
Determine the rotational speed at which the pump should he run to meet the duty
and the ratio of its impeller diameter to that of the model pump tested in the
laboratory; stating any assumptions made. What will he the power consumed by the
pump? [06”; HTS revimin; 2.63; 67”} kW]. The characteristics of a pump in terms of dimensionless coefﬁcients may he
approximated by CH = S — ECU — ElDCQ'. Such a pump having an impeller diameter
[1.4 m and running at 24.13: ren’s operates against a system characteristics
represented by H = 26 + 366' Q‘. Determine the ﬂowrate delivered and the pumps
operating head. What would he the ﬂowrate through the system if two such pumps
are connected: {at} in series: and (h) in parallel. Use miss for Q. rn for H and rein"s for lN'. [6.2]?lulx's;34.121n;{].2551n3.r"s;{J.326 mh‘s]. DA Shah
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This note was uploaded on 05/05/2009 for the course ME ME2135 taught by Professor Me2135 during the Spring '09 term at National University of Juridical Sciences.
 Spring '09
 ME2135

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