PRISM (PaRametrIc System Model)

Pump model exercise PRISM v1.1.7
by: H.P. Shaft May 05, 2018
System Sensitivity
Design Variables (nominal values)
NameValueUnitsDescription
deltaP 200psidPump Pressure Rise (psid)
rpm 10000rpmPump Speed (rpm)
wdot 1lbm/secPump Flow Rate (lbm/sec)
Result Variables
NameValueUnitsDescriptionConstrainLimit
eff 0.459228
* ----->
Pump Assumed Efficiency
(eff varies to make effError = 0 )
>0.01, <1
effCalc 0.459228 Pump Efficiency---
effError-1.55879e-11 Pump Efficiency Error=0
effInp 0.459228 Assumed Pump Efficiency---
hp 0 Pump Horsepower---
sysMass 1.98485 lbmTotal System Mass (lbm)---
Mass Summary
System: Pump model exercise 1.985 lbm Total
NameMass UnitsType
INERT
Fuel Pump 1.985lbminert

Design Variables (nominal values)
NameValueUnitsDescription
rpm 10000rpmPump Speed (rpm)
wdot 1lbm/secPump Flow Rate (lbm/sec)
Design Variables (nominal values)
NameValueUnitsDescription
deltaP 200psidPump Pressure Rise (psid)
wdot 1lbm/secPump Flow Rate (lbm/sec)
Design Variables (nominal values)
NameValueUnitsDescription
rpm 10000rpmPump Speed (rpm)
Design Variables (nominal values)
NameValueUnitsDescription
deltaP 200psidPump Pressure Rise (psid)
Design Variables (nominal values)
NameValueUnitsDescription
wdot 1lbm/secPump Flow Rate (lbm/sec)
Design Variables (nominal values)
NameValueUnitsDescription
wdot 1lbm/secPump Flow Rate (lbm/sec)
Design Variable Summary
Design Variables (nominal values)
NameValueUnitsDescription
deltaP 200psidPump Pressure Rise (psid)
rpm 10000rpmPump Speed (rpm)
wdot 1lbm/secPump Flow Rate (lbm/sec)
Result Variables
NameValueUnitsDescriptionConstrainLimit
eff 0.459228
* ----->
Pump Assumed Efficiency
(eff varies to make effError = 0 )
>0.01, <1
effCalc 0.459228 Pump Efficiency---
effError-1.55879e-11 Pump Efficiency Error=0
effInp 0.459228 Assumed Pump Efficiency---
hp 0 Pump Horsepower---
sysMass 1.98485 lbmTotal System Mass (lbm)---
Centrifugal Pump: Fuel Pump
mass = 1.985 lbm type = inert
Material : Ti
Pump Fluid Summary:Fuel Pump
Fuel Pump: hp=2.1 wdot=1.000 dH=1.5 dP=200.0 eff=0.46
Inlet :MMH T= 530.0 P= 25.0 D=54.5437 rho=0.03156 Q=LIQUID
constS:MMH T= 530.0 P= 225.0 D=54.5437 rho=0.03156 Q=LIQUID
Outlet:MMH T= 531.1 P= 225.0 D=54.5065 rho=0.03154 Q=LIQUID
Pump Design Summary:Fuel Pump
Pump RPM Limit Summary:Fuel Pump
OVERALL RPM LIMIT 114170 rpm
Suction SpSpeed Limit 157201 rpm
(for Max SSS= 20000.0 )
Specific Speed Limit 114170 rpm
(for Max SS= 5000.0 )
Impeller Tip Speed Limit 178761 rpm
(for v Impeller Tip= 2100 fps)
Inducer Tip Speed Limit 284892 rpm
(for v Inducer Tip= 1165 fps)
DN Limit 3502202 rpm
(for DN Limit= 1500000 )
==== INPUT ====
NameValueUnits
Pinlet = 25.0 psia
deltaP = 200.0 psig
wdot = 1 lbm/sec
rpm = 10000 rpm
DtipMn = 0.75 in
vDisMx = 2100 ft/sec
vIndMx = 1165 ft/sec
spspMx = 5000
suctMx = 20000
spspMn = 400
pStages = 2
cxw = 1
eff = 0.459228
==== OUTPUT ====
NameValueUnits
RPM = 10000.0 rpm
Specific Speed = 437.9 (-)
Suction Spec Speed = 1272.3 (-)
Efficiency = 0.459 (-)
Calc'd Eff = 0.459 (-)
Weight Multiplier = 1.000 (-)
Pump Weight = 1.985 lbm
Pump Volume = 18.951 cuin
Number of Stages = 2 (-)
Total Pump Head = 528.2 ft
Head per Stage = 264.1 ft
Thermo HP (eff) = 2.1 hp
Head HP (calcEff) = 2.1 hp
Average Density = 54.525 lb/cuft
Mass Flowrate = 1.00 lbm/sec
Volumetric Flowrate = 8.23 gpm
Fluid NPSP = 24.1 psi
Fluid NPSH = 63.7 ft
Impeller Tip Speed = 117.5 ft/sec
Inducer Tip Speed = 40.9 ft/sec
SHAFT Design Stress = 40000 psi
min SHAFT Diam = 3.018 mm
DN of SHAFT = 30180 mm RPM
DN limit of SHAFT = 1500000 mm RPM
Inlet Diameter = 0.94 in
Outlet Diameter = 0.25 in
Pump Diameter = 3.8 in
Pump Length = 3.5 in
rho = 0.16 lbm/cuin
sy = 119000 psi

(PRISM) PaRametrIc System Model
PRISM v1.1.7
contact: C. Taylor, cet@appliedpython.com