PUM
Hydraulic Pump Power
The ideal hydraulic power to drive a pump depends on
the mass flow rate the
liquid density
the differential height
Ph(kW) = q ρ g h / (3.6 10 6) (1)
where
Ph(kW) = hydraulic power (kW)
q = flow capacity (m3/h)
ρ = density of fluid (kg/m3)
g = gravity (9.81 m/s2)
h = differential head (m)
The hydraulic Horse Power can be calculated as:
Ph(hp) = Ph(kW) / 0.746 (2)
where
Ph(hp) = hydraulic horsepower (hp)
Shaft Pump Power
The shaft power - the power required transferred from the motor to the shaft of the pump - d
Ps(kW) = Ph(kW) / η (3)
where
Ps(kW) = shaft power (kW)
η = pump efficiency
Pressure drop calculation
PUMP & PRESSURE DROP CALCULATION
q -flow capacity = 400
427.81
ρ - density of fluid = 935
g - gravity = 9.81
h - differential head = 50.868
Ph(kW) = q ρ g h / 3600 = 55,446
Shaft Pump Power = 115,513
or to the shaft of the pump - depends on the efficiency of the pump and can be calculated as
TION
Massa jenis CPO 0,915 kg/liter
TPH 935
(m3/h) 0.935 1 kg/m3 = 0.001 kg/L
(kg/m3) 1000
m/s2 1 ton 1000 kg
Pemilihan Diameter Pipa
kW Q = v . A, dimana :
Q : kapasitas/flowrate (m3/s)
A : Luas area (m2) = phi/4*d2
v : kecepatan aliran/velocity (m/s)
=
kW Q = 0.118835 m3/s 7.1301247772
V = 3.8 m/s
D = 0.199543 m
19.95429 cm
7.856018 inch
A = 0.031272 m2
Wall thickness calculations - using B31.4 Code
Tabel 1
Table 1
Pipe Schedule
PIPE WALL THICKNESS
B31.4 Code
abel 1
Pipe Schedule
Calculation Pipe Thickness
Material ASTM 106 B
Sy = 35,000 psi
d = 8 in
F = 0.72
p = 7 bar 1 Bar = 14.5038 psi
101.5266 psi
E = 1
1 inch = 2,54 cm
t = 0.001111 inch
0.000437 cm 1mm 0.03937
tm = t + c
c = 3 mm
0.11811023622 inch
tm = 0.119221 inch
mil.tol = 0.125
Tebal Pipa = 0.244221 inch
. .
Vcomp Vreq
Vreciver
Compressor Receiver
Pressure drop plan = 4.788
Pressure minimum reciever tank = 5.788
83.9479944
Pressure maksimum reciever = 100
Panjang pipa = 580
Volume pipa, π.r² .L = 18.1380367139
640.53932514
Blowing time = 180
3
Kebutuhan Udara = 306
= 8.659
Pemilihan kompresor
Tipe : V75-7
Jenis : Kompresor screw
Kapasitas : 13,5 m3/min = 476.74845
Tekanan : 7,5 Bar-g = 108.75
Daya : 75 kW
NOTE: PEMILIHAN KOMPRESOR MERUJUK PADA DATA KOMPRESOR
Pressure maksimum reciever 96.42904 psia
6.650279 Bar
Volume Reciever
V= tBuffer * Vreq_S * patm / (pinitial_g - pfinal_g)
tbuffer = 180 s
tbuffer = 3 min
Vreq_S = 306 Scfm
8.659 m3/min
patmS = 14.7 psia
pinitial_g = 100 psi
6.894745 Bar
pfinal_g = 75 psi
5.171059 Bar
V= 539.3855 ft³
15.27368
Reciever Volume = 15.274 m3 Volume pipa, π.r² .L
Diameter = 2m
Tinggi 4.86176398505974
Compressor & Sizing Air Reiciever
Piping Isodrawing
Vreq
Psupply = Preceiver_final
Bar-g Konversi Satuan
Bar 1 Bar = 14.5038 psi
psia 1 m3=35,3147 ft3
psia
m3
m3
ft3
s
mnt
ft3/menit
m3/menit
ft3/min
Psia
me pipa, π.r² .L
Air Reiciever
DATA KOMPRESOR
Document Number
IPC-1AS-S-400-2
Ellipsoidal Head 2:1
Ellipsoidal head inside diameter, D =
Depth of head for 2:1 ellipsoidal, H =
=
Operating Pressure =
Internal design pressure, P =
=
Design Temperatur =
Semi-Elliptical head inside diameter, D =
Depth of head, H =
Efficiency of longitudinal welded joints, E =
Maximum allowable stress value at operating temperature, S =
The corrosion allowance, C =
Shell
Ellipsoidal shell minimum required thickness, t =
=
Actual thickness, t =
Head
Ellipsoidal head minimum required thickness, t =
=
Thickness tolerance for metal forming =
Actual thickness, t =
Crown radius, L =
Knuckle radius =
Stright line =
Maximum Allowable Working Pressure (MAWP)
MAWP (Shell) =
=
=
MAWP (Head) =
=
=
For Hydrotest pressure, used MAWP + static head +
safety factor pressure for hydrotest static head pressure =
=
=
=
Hydrotest, P =
=
=
STRENGHT CALCULATION
Rev. 0
AIR RECEIVER Document Number
1 dari 3
Input
2 mm
Calculate
D/4
1 mm
Input
7.5 Bar
1.00 MPa
9.0 Bar
60 Celcius
2000 mm
707.5 mm
1
138 MPa
3 mm
Calculate
(P*D/ (2*S*E - 2*0,6*P) ) + C
10.278 mm
10 mm
(P*D / (2*S*E - 0.2*P) ) + C
10.252 mm
11.277 mm
12 mm
1800 mm
340 mm
50 mm
(t*2*S*E)/(D+1,2*t)
1.410 MPa
204.403 Psi
(t*2*S*E)/(D+0,2*t)
1.692 MPa
245.357 Psi
ρ (water) x g x h horizontal position
68670 Pa
0.06867 Mpa
9.95715 Psi
MAWP + static head + safety factor pressure (hydrotest)
1.761 MPa
255.315 Psi
Data Pipe dimensions
Nominal pipe size (NPS) The schedule is to be determined
dn = 200 mm
Material: A 106 Schedule initially assumed
Pipe pressure and temperature Sch =
P= 7 bar
t= 50 ºC Material A106 pipe
Pipe filled with water do =
di =
It will be considered the weight di =
of two men at the center of di =
the pipe.
Concentrated weight
mc = 200 kg
wc = 1962 N
Pipe insulation weigth
wi = 0 N/m
Water load
ww = rw * g * V
rw = 1000 kg/m³
V= 0.000 m³/m
ww = 0.0 N/m
Pipe load (steel)
wp = rp*g*(p/4)*(de^2-di^2)
rp = 8000 kg/m³
de = 0.219 m
di = 0.203 m
wp = 425.34 N/m
Insulation load (no insulation)
wi = N/m N/m
Total load
w= ww + w p + w i
ww = 0.0 N/m
wp = 425.3 N/m
wi = N/m N/m
w= 425.3 N/m
sallow sy st
Beam simply supportedat ends
M aximum deflection at beam center
a) Uniformly distributed load w
5 w L4
y
384 E I
b) Concentrated load P at the center
8 P L3
y
384 E I
c) Both cases, a and b
5 w L4 8 P L3
y
384 E I
384 E I
c) Both cases, a and b
5 w L4 8 P L3
y
384 E I
Span Calculation
Pipe dimensions Pipe yield strength
The schedule is to be determined Table A-1 (ASME B3.1.1-2007)
st = 35 ksi
Schedule initially assumed
40 Pipe basic allowable stress at
given temperature
Material A106 pipe Ref. 2a. Table A-1
219.06 mm t= 122 ºF
0.21906 m sallow = 17.1 ksi
202.7 mm sallow = 117.9 MPa
0.2027 m
Maximum bending stress
sb = sallow * 0.3
sallow = 117.9 MPa
sb = 35.37 MPa
sb = 3.5E+07 Pa
Steel elasticity module
E= 2E+11 Pa
Concentrated weight
wc = 1962 N
Pipe Span
Lcalc = (-b + (b^2 - 4*a*c)^0.5 ) / (2*a)
w 2 wc I b= 245
L L- b 0
16 8 d a= 26.58
a= w/16 c= -4,871
w= 425 N/m Lcalc = 9.688 m
a= 26.6 Let
Lselected = 5 m
b= wc /8 (Jarak piperack to piperack)
wc = 1962 N The selected length Lselected
b= 245 hast to meet two conditions:
1. Lselected <= Lcalculated to meet
c= -sb * I /de the condition for the maximum
sb = 3.5E+07 Pa bending stress.
I= 3.02E-05 2. ycalc <= Lselected / 600 to meet
de = 0.2191 m the additional design condition.
c= -4,871.3
nter
ter
note: Fluida yang digunakan air, sebab air lebih
Equatorial inertia moment tinggi masa jenisnya dari pada CPO dan
I= (p/64) *( de^4-di^4) saat pengujian hidrotest mengunakan air
do = 0.2 m
di = 0.203 m
I= 3.02E-05 m4
Area of pipe section
A= (p/4) * di^2
di = 0.0002 m
A= 0.0000 m²
Water volume per meter pipe
V= A*1
A= 0.000 m²/m
V= 0.000 m³/m
Deflection Result
Deflection at ther center of a simple For
supported beam with a uniform load Lselected = 5 m
w and a concentrated load "wc". there is a deflextion
ycalc = 1.42 mm
Requirement
5 w L4 8 w c L3
y ycalc <= Lselected / 600
384 E I Lselected = 5 m
Deflection value for the Lselected / 600 = 0.0083 m
selected length Lselected / 600 = 8.33 mm
ycalc = (5*w*L^4 + 8*wc*L^3) / (384*E*I)
w= 425.3 N/m Check
Lselected = 5.0 m ycalc = 1.42 mm
wc = 1962 Lselected / 600 = 8.33 mm
E= 2.00E+11 Pa thus
I= 3.02E-05 m4 ycalc <= Lselected / 600
ycalc = 0.0014 m Correct
ycalc = 1.42 mm
Daya Compressor
Tekanan operasi
psi kPa Bar
Tekanan, P P 101 696.3708 6.96371
Debit
scfm m3/s
Qmax 470 0.2115
Kompresibel Faktor
k 1.4
z 1
Temperatur Tekanan awal
T1 30 oC 303 K (k-1)/k
P2 696.3708 kPa 797.6958 kPa.abs P2/P1
P1 101.325 kPa.abs
T2 525.5583 K
Efesiensi
Efisiensi compressor 0.72 s/d 0.85
reciprocating
Z 0.9
Stage 1
Ts 20 oC 293 K
Ps 100.3581 kPa.abs
3.5 378.75 0.2115 0.342519029 0.803161
320.8235
Power 77.12911 kW 65.33289 kW
103.3902 HP 87.5776 HP
0.285714
6.872645
