Chapter 5
Chapter 5
r_J;e§S
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Q.EC][PQ.OCATING
PUMPS
INTRODUCTION
LESSON OBJECTIVES
~ IJ~ - = - ~ ~
• ~eciprocating ~~mps may be ·of either ~he piston type or the f?lunger type.
Water
out
· Example:
.2Q3 )(
~ )(
JQ5 rnrn
~ength of stroke (common to both cylinders)
I
i
Water
Connecting
Example:
..203...x 305mm
L------ Length of stroke
IL.- - - - - - - Diameter or bore of the cylinder
FORMULAS
1. Direct-acting Pumps
b) Piston displacement
V. =~D 2 Vn
D 4
where VO = piston displacement, m3/min
D = diameter of water piston, m
V = piston speed, m/min
n = number of water cylinders
= 1 for simplex pump
= 2 for duplex pump
= 3 for triplex pump
c) Pump duty - the work done in the water cylinders expressed in N-m/million
joules · . ·
N =907.5.._
m .jL
where Nm = motor or crank shaft speed, rpm
L = length of stroke, mm
F1 = temperature correction factor
Sllp = 1 - .11. .
~ - - ~~ lf~PmCATIN N]MpCtltt.:
=
~ -.;.
~ ~~ ; ~ - ~ ~ ~ ~ - -C=
ADVANTAGES AND DISADVANTAGES OF DIRECT-ACTING
RECIPROCATING PUMPS OVER CENTRIFUGAL PUMPS
Advantages
average
• The design is simpler and pumping action Is readily understood by an
mechan ic. ·
. ----fhe operation Is more flexible.
on.
__:---/•· ifne operation is fairly quiet and can be set on a slmple light f?undall
· ----· • It is not likely to become misaligned.
hundred
• It has a comparatively low initial cost and a capacity of up to several
liters per minute.
Disadvantages
• Oily exhaust steam
• Low thermal efficiency
• More inspection and maintenan_ce required
ILLUSTRATIVE PROBLEMS
. .
dimensi ons for a duplex, direct-acting steam pump for the
Ex 5.1) Select the suitable
is at 93"C;
following boiler services : 265 1pm against 0.863 Mpaa boiler pressures water
of water; water
boiler water level is 5.5 m above pump; pump is 2.0 m below source
head and pipe friction.
cylinder, D = L; and volumetric efficiency is 90%. Neglect velocity
i~
Find the water power.
-rL------1
Q =265 lpm A
5.5 m
TJ. = 90%
r_..._---'Pump>------IJ_
-.L-2
. Required:
a) Suitable dimensions of duplex, direct-acting pump
b) Water power ·
I
.
_a) Determination of suitable dimensions ·
PD =( *)o v *)o2
n =(
2
( 1.38 JC F,)
=(%)o (1380Ji:F )n, when V =1380 'J[ F
2
1 1
D=[ 4PD
1t{1380)F, n
ls=[ - 4(294)10s
1t{1380)(0.6783)(2)
ls =13~.94-132mm
·.
3
• Solving for the TOH, where, at 93°C, p = 963.2 kg/m ·
' · •• 1
•, '
~ .E1_ ·tiBII I ~
~ . ,
• Solving for the water power,
pgQ(TDH)
wp-.:.....::..~-....:.
' 1000
WP= (963.2)(9.81)(0.265/60)(84.11) = _ ' kW
3 51
.1000 .
Ex. 5.2) Results of a test on a 254 ,c 152 ,c 305 mm' duplex, direct-acting pump are as
· follows: Test time, 60 minutes; speed, 38 strokes per minute per cylinder; TOH is 76 m;
I
I, 82.2°C water;.water pumpe~ Is 22680 kg. Determine: a) volumetric efficiency; b) water
power; and c) slip. ·
Given: A 254 ,c 152 ,c 305 mm duplex, direct-acting pump
Time = 60 mlnut~s
Speed = 38 strokes per minute per cylinder
Water temperature = 02.2°c
Mass of water pumped = 22680 kg
n = 2
TOH = 76 m
Required:
a) Volumetric efficiency, Ev
b) Water power, WP
c) Slip
Solution:
• For the piston speed,
V = (0.305 m/stroke) (38 strokes per min per cylinder)= 11 .59 m/min
2
PD= ( ~) 0 V n = ( ~ }o.152)2 (11.59)(2) = 0.4206 m3/min
• For the pump capacity, at 82.2°C, p = 970.3 kg/m 3
a (100%) = ( 0.4
Ev= PD o.39 ) (100%) = 92.72% ANSWER
206
b) Solving for the water power
WP= pgQ(TDH)
1000
WP= (970.3)(9.81)(0.39/60)(76)
1000 . =4.7 kW
ex. 5.3) Results of-a test on a 254 1C 152 IC 305 mm duplex, direct-acting pump are as
folloWS: Test time, 60 minutes; steam used 567 kg at 1.38 Mpaa saturated steam; exhaust
at0.101 Mpaa; speed, 38 strokes per minute per cylinder; water pumped, 22 680 kg; TOH,
76 mat 82oC water. Determine: a) volumetric efficiency; b) water power; and c) pump duty.
lime = 60 minutes
Mass of steam used = 567kg
· Pressure of saturated steam = 1.38Mpaa
Pressure of exhaust steam = 0.101 MPaa
Speed ' = 38 strokes per min per cylinder
Mass of water pumped = 22680kg
Total dynamic head, TOH = 76m
Number of cylinders = 2 cylinders
Temperature of water = 82°C
Requlmd:
a) Volumetric efficiency, e.
b) Water power, WP
c) Pump duty .
Soiution:
- • For the piston speed,
· 9.807m (H -H )
Pump duty = • d • x 108
. 100Q(m,)(h, -h.)
where Hd - H, TOH 76 m = =
• h1
.=
h . =. enthalpy of supply steam at 1.38 Mpaa and saturated = 2 789.6 k.Mv
enthalpy o~ exhaust saturated water. at 0.101 Mpaa = h,·= 417.46 kJI;
'
Therefore, .
Pump duty=
9.807(22 680)(76)108 N•
· =0.0126-----
m
. . 1000(567)(2 789.6-417.46) Million Joules
Ex. 5.4) What size of 1 750-rpm motor should be used to dri~e a 100 >< 200 mm single-
acting triplex power pump? Pump ·efficiency = 88%; mechanical efficiency .= 90%, Wh8l •
V-belt pulley diameter should be used? Water temperature = 11 0"C. ·TOH = 24.6 kg/cm2 =
258.69m .
Required:
a) Size of the driving motor
b) Size of the V~belt pulley
utJOn' .. .
5"' From steam tables,.at 110°C,·v, := 1.0516
. x 10"3 m3/kg, r .= 950.932 kg/m'
I ' ~ •
• •
directions so that the liquid is entrained on one
side: · '
side and discharged on the other
~~--~!d~~~~-~:~n_•·~~~~•eii~~~
• A screw-type pump ls a displacement pump that raises llquld by means of helical
Impellers In_the pump casing. _ · - _ _.
• A jet pump is a pump in which an accelerating jet entrains a second fluid to deliver
. ,, it at elevated pressure .
•• The rotative speed (N) in rpm, of an indirect-acting reciprocating pump for cold
water is given by the equation, N = 907(L--0• 5), where L is the stroke in mm. _
• A hydraulic pump, also known as a hydraulic ram, is used to fo~ce running water to
a higher level by using kinetic energy of flow. The flow of water in the supply pipeline
is periodically stopped so that a small portion of water is lifted by the velocity head
of a larger portion. -
• Steady flow is a flow of fluids in which all_the conditi~ns at any one point in a pipe
line are constant with respect to time.
L»Nih ._.,~
t Is the discharge capacity of the pump In m3/s. _
;§§
.,
• A d/rect-acung, S1..... - 6lr/ven re cl p~ tln g
pump Is one In which the
connects directly tovafthe
1
rl-v
liquid piston or plunger.
1te1m Pllfon
.
, . .
• In , Henry R. Worthington inv -
1840 ented the first reciprocati .
water into a boiler. ng steam pump for feedin
- g
·
-
• There are two general
types of direct-acting ste
duplex. The .simplex type am pumps: the simple
has one steam and one x and the
type has two duplicate steam an water cylin~er, while the
d two water cylinders. duplex
• A plunger-type pump
Is a reciprocating pump wh
casing Instead of on the ere the packing is on the
moving piston. stationary
.
• A diaphragm pump . .
Is a reciprocating pump
~ operating parts from pu used as a diaphragm to
mped liquid In a mechan iso lat e the ·
ically actuated diaphrag
m.
• Diaphragm pumps, an
other design of reciprocati
thick pulps, sewage sludg ng pumps, are used for
e, acids or alkaline solut handling .
solids that wear out me ions, mixture of wate'r an
tal pumps, as well as liq d gritty
constant flow volume Is uid solutions or pulps wh
required. ere a ,
·
· · • The diaphragm in
a diaphragm pump is made
abrasion, and in spe?ial of special rubber that res
cases, oil and high tempe ists corrosion,
rature. . -
• Sludge pumps are pri
marily designed for pump
to be handled successfu ing sludge or substance
lly by ce~trifugal pumps. s too heavy
. .
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,~osLEMS .
Th8 volumetr_ic efficiency of a '96 ,c 1·2a ,c 154 mm duple~, direct-acting pump Is
1
· go%. Determine a) the commercial piston speed; and b) the pump discharge rate.
•
·'1i' A duplex,If the226·temperature
x 134 256 mm, ~team boiler fe:d p~mp is operati~g at norm?I
>c
'l3/ speed. of feed water Is 93°c and the volumetric efficiency Is
. · 99°/~. determi~e the a) ~is~on speed; b) pump discharge rate; and c) pump speed in
. · strokes per min per cyhnder. · .
3. The following are t~e test results for a 254 ,c 152 ,c 306 mm duplex, direct acting
pump:
Time of test = 1 hr
Steam used at 1.4 Mpaa, Saturated = 568 kg
Steam exhaust pressure · = . 0.1o Mpaa
• Piston speed = 38 strokes per cylinder
Water pumped = 22 700 kg
Pump TDH = 76 m
. Water temperature = 82°C
Determine the a) pump discharge rate; b) pump volumetric efficiency; c) pump
waterpower; and d~_pump duty.
4. A 110 x 210 mm single ~cting, triplex, indirect-acting pump is driven by a 1760 rpm
electric motor. The temperature of water is 110°C and the pump TOH is 230 m. If
the pump efficiency is 88%, the volumetric efficiency is 95%, and the mechanical
efficiency is 90%, specify the size of the driving motor.
• 5. Select the suitable dimensions of a duplex! direct-acting, pump for the following
· boiler servic~: • · · ·
Pump discharge = 260Ipm
Boiler pressure = 860kPaa
. Feed water temperature = 94°C · ·
Boiler water level·above pump centerline = 5.5 m
Pump dimension = D. = L ·
Volumetric efficiency . = 90%
_ Neglecting the vel~city head and pipe friction, determine the wat~r power.
Q) A 254 x 152.4 m~ duplex direct-acting pump with 38.1 mm piston rods makes 35
double strokes per_cylinder per minute and delivers 511 l_pm of 38~C against a total
head of 140 m·. The steam is supplied to the steam cylinder at a pressure of 1.2
Mpaa a_nd exhaust to the atmosphere. Amount of steam supplied is 0.5 kg/sat 98%
quallty. Assume that the piston makes a full stroke. Determine the a) piston
displacement, m3/s; b) pump slip; c) water power delivered; and d) thennal efficiency
of the pump.
dttc
7. Determine the discharge rate, In . lps, of a 254 ,c 152.5 ,c 305 mm duplex
. operating at 35 strokes per minute if the slip ~s 7% and the water is at ee•c.
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a
. , 9. ·select· duplex pump for boiler feed service. Suction pressure is 83 kPaa,-waie,:
.- · temperature is 88°C. and discharge pressure is 1136.675 kPag. Assume 70%
~- ·.· · . volume_tric efficiency, 56~:81 lpm, and 64.675 kPag to 55.675 k'.a~. -. ·
1
·10. The following data were taken during the rest of a pump: 38 ·550 kg/hr; _4-inch schelfule
• 40. lnleJ pipe; 3-inch schedule 40 discharge pipe; gauge in suction line located
. 8~.36 cm below the pump centerline reads 88.9 mm Hg vacuum; discharge gauge
located 45. 72 cm below the pump centerline reads 1 206.25 kPa, water temperature
Is 49°C, Input to pump 24 Hp. Find the developed head and the pump efficie_ ncy. ·..·
·_ 11. A fire pump delivers 40000 1pm on test. The suction g~uge reads 32.4 mm Hg
vacuum and Is 21.92 cm below the pump centerline. The discharge gauge reads ··
593 kPa and is 91.44 cm above the pump centerline. What is the pump efficiency if
the water temperature is 25°C and the input is 97 Hp? .
12. A centrifugal pump receives 34 000 kg/hr of 72oC water when the pump centertine •
is 274.32 cm above the water level in a vessel that has a pressure of 31 -kPaa.
Calculate the water power, neglecting friction and velocity heads, if the discharge
pressure gauge reads 38.~ m.
II